From 522b5e30cad999bc925252f42d34868cf009a648 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sat, 15 Feb 2020 11:31:57 +0530 Subject: [PATCH 001/276] Add files via upload --- .../v8.0/pre-coders/Color-me/Readme.md | 1 + .../v8.0/pre-coders/Find-the-sum/Solution.py | 20 ++++ .../pre-coders/Gauntlet-quest/Solution.java | 101 ++++++++++++++++++ .../v8.0/pre-coders/Job-selection/Readme.md | 1 + .../pre-coders/Journey-on-tiles/Solution.java | 47 ++++++++ .../pre-coders/Journey-on-tiles/Solution.py | 17 +++ .../pre-coders/Keeping-the-distance/Readme.md | 1 + .../Solution.cpp | 35 ++++++ .../Solution.py | 24 +++++ .../pre-coders/Office-crushes/Solution.cpp | 88 +++++++++++++++ .../pre-coders/Office-crushes/Solution.java | 80 ++++++++++++++ .../pre-coders/Office-crushes/Solution.py | 29 +++++ .../Valentines-day-gifts/Solution.java | 75 +++++++++++++ 13 files changed, 519 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Color-me/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Find-the-sum/Solution.py create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.java create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Job-selection/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Journey-on-tiles/Solution.java create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Journey-on-tiles/Solution.py create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Keeping-the-distance/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Lexicographically-smallest-game/Solution.cpp create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Lexicographically-smallest-game/Solution.py create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.cpp create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.java create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.py create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Valentines-day-gifts/Solution.java diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Color-me/Readme.md b/codeBase/ACES_Coders/v8.0/pre-coders/Color-me/Readme.md new file mode 100644 index 0000000..d3c7d5e --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Color-me/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact harshana.w[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Find-the-sum/Solution.py b/codeBase/ACES_Coders/v8.0/pre-coders/Find-the-sum/Solution.py new file mode 100644 index 0000000..ae7cb19 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Find-the-sum/Solution.py @@ -0,0 +1,20 @@ +''' + This code was written by UOP_hashInclude during ACES Precoders v8 2020 + nuwanjaliyagoda@eng.pdn.ac.lk imeshuek@eng.pdn.ac.lk dinelkadilshani95@gmail.com + +''' +qwe,n=[int(i) for i in input().strip().split(" ")] + +p=[int(i) for i in input().strip().split(" ")] +q=[0] +tot=0 +for i in p: + tot+=i + q+=[tot] + +for i in range (n): + a,b=[int(i) for i in input().strip().split(" ")] + if b>=qwe: + b=len(q)-1 + print(q[b+1]-q[a]) + diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.java b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.java new file mode 100644 index 0000000..133bccd --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.java @@ -0,0 +1,101 @@ +/* + This code was written by UOP_IntElligence during ACES Precoders v8 2020 + hisnionline@gmail.com muhammadh.aslamm@gmail.com irfanmm96@gmail.com + +*/ +import java.io.*; +import java.util.*; + +public class Solution { + + static int max(int x, int y){ + return (x > y) ? x : y; + } + + static int min(int x, int y){ + return (x > y) ? y : x; + } + public static void main(String[] args) throws IOException { + Scanner sc = new Scanner(System.in); + + String[] Str = sc.nextLine().split(" "); + + int n = Integer.parseInt(Str[0]); + int m = Integer.parseInt(Str[1]); + int k = Integer.parseInt(Str[2]); + + int[] matrix = new int[n]; + HashMap[] path = new HashMap[n]; + int[][] dist = new int[n][1<0){ + f |= 1 << (sc.nextInt() - 1); + } + matrix[itr] = f; + path[itr] = new HashMap(); + Arrays.fill(dist[itr], Integer.MAX_VALUE); + itr++; + } + + itr = 0; + while(itr que = new PriorityQueue(); + que.add(new Edge(0, matrix[0], 0)); + while(!que.isEmpty()) { + int i = que.peek().e; + int f = que.peek().f; + int w = que.poll().w; + if(dist[i][f] < w) { + continue; + } + + for(int j : path[i].keySet()) { + int planet = f|matrix[j]; + int time = w+path[i].get(j); + if(dist[j][planet] > time) { + dist[j][planet] = time; + que.add(new Edge(j,planet,time)); + } + } + + } + + int result = 100000000; + for(int i = 0; i < 1<{ + int e, f, w; + + public Edge(int e, int f, int w) { + super(); + this.e = e; + this.f = f; + this.w = w; + } + + @Override + public int compareTo(Edge o) { + return this.w-o.w; + } + } +} \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Job-selection/Readme.md b/codeBase/ACES_Coders/v8.0/pre-coders/Job-selection/Readme.md new file mode 100644 index 0000000..e873819 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Job-selection/Readme.md @@ -0,0 +1 @@ +Hint: Bipartite graph matching. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Journey-on-tiles/Solution.java b/codeBase/ACES_Coders/v8.0/pre-coders/Journey-on-tiles/Solution.java new file mode 100644 index 0000000..7d56170 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Journey-on-tiles/Solution.java @@ -0,0 +1,47 @@ +/* + This code was written by UOP_IntElligence during ACES Precoders v8 2020 + hisnionline@gmail.com muhammadh.aslamm@gmail.com irfanmm96@gmail.com +*/ +import java.io.*; +import java.util.*; + +public class Solution { + + static int max(int x, int y){ + return (x > y) ? x : y; + } + + private static int minCost(int cost[][], int m, int n){ + int i, j; + int tc[][]=new int[m+1][n+1]; + + tc[0][0] = cost[0][0]; + + for (i = 1; i <= m; i++) + tc[i][0] = tc[i-1][0] + cost[i][0]; + + for (j = 1; j <= n; j++) + tc[0][j] = tc[0][j-1] + cost[0][j]; + + for (i = 1; i <= m; i++) + for (j = 1; j <= n; j++) + tc[i][j] = max(tc[i-1][j], tc[i][j-1]) + cost[i][j]; + + return tc[m][n]; + } + + public static void main(String[] args) { + Scanner scanner = new Scanner(System.in); + + int ROW = scanner.nextInt(); + int [][] arr = new int[ROW][ROW]; + + for(int i=0;i +#include +#include +#include +#include +using namespace std; + + +int main() { + int t; + cin >> t; + for(int k=0;k> s; + string result; + result += s[0]; + for(int i=1;i result[0]){ + result = result + s[i]; + } + else{ + result = s[i] + result; + } + } + cout << result << endl; + } + return 0; +} \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Lexicographically-smallest-game/Solution.py b/codeBase/ACES_Coders/v8.0/pre-coders/Lexicographically-smallest-game/Solution.py new file mode 100644 index 0000000..05f994e --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Lexicographically-smallest-game/Solution.py @@ -0,0 +1,24 @@ +''' + This code was written by UOP_hashInclude during ACES Precoders v8 2020 + nuwanjaliyagoda@eng.pdn.ac.lk imeshuek@eng.pdn.ac.lk dinelkadilshani95@gmail.com + +''' +n=int(input()) +p=[] +for i in range (n): + word=input().strip() + p+=[word] + + +for i in p: + w="" + for j in i: + if w=="": + w=j + elif w[0]>=j: + w=j+w + else: + w=w+j + print(w) + + \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.cpp b/codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.cpp new file mode 100644 index 0000000..dfdb673 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.cpp @@ -0,0 +1,88 @@ +/* + This code was written by UOP_JPAC during ACES Precoders v8 2020 + pubuduudara7@gmail.com imsuneth@gmail.com pasan96tennakoon@gmail.com +*/ +#include +#include +#include +#include +#include + +using namespace std; + +void select(vector s, vector f) { + vector> ans; + + priority_queue, vector>, greater>> p; + + for (int i = 0; i < s.size(); i++) { + p.push(make_pair(f[i], s[i])); + } + + auto it = p.top(); + float start = it.second; + float end = it.first; + p.pop(); + ans.push_back(make_pair(start, end)); + + while (!p.empty()) { + auto itr = p.top(); + p.pop(); + if (itr.second >= end) { + start = itr.second; + end = itr.first; + ans.push_back(make_pair(start, end)); + } + } + cout << ans.size() << endl; + +} + +int main() { + int n; + cin >> n; + char x; + float a, b; + + + string line; + + vector s; + vector f; + + int j = 0; + for (int i = 0; i < n; i++) { + string yes, start, end; + cin >> yes >> start >> end; + if (yes[0] == 'Y') { + replace(start.begin(), start.end(), ':', '.'); + replace(end.begin(), end.end(), ':', '.'); + + + string tok; + vector internal1, internal2; + stringstream ss(start); + stringstream ee(end); + while(getline(ss, tok, '.')) { + internal1.push_back(tok); + } + + while(getline(ee, tok, '.')) { + internal2.push_back(tok); + } + + float sss = stof(internal1[0])*60 + stof(internal1[1]); + float enn = stof(internal2[0])*60 + stof(internal2[1]); + + s.push_back(sss); + f.push_back(enn); + j++; + } + + + } + + select(s, f); + + return 0; +} \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.java b/codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.java new file mode 100644 index 0000000..7efe2e2 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.java @@ -0,0 +1,80 @@ +/* + This code was written by UOP_eyeCoders during ACES Precoders v8 2020 + thusharakart@gmail.com nuwan.harshamatrix@gmail.com thilankanayana@gmail.com + +*/ +import java.io.*; +import java.util.*; + +public class Solution { + public static void sortbyColumn(int arr[][], int col) + { + // Using built-in sort function Arrays.sort + Arrays.sort(arr, new Comparator() { + + @Override + // Compare values according to columns + public int compare(final int[] entry1, + final int[] entry2) { + + // To sort in descending order revert + // the '>' Operator + if (entry1[col] > entry2[col]) + return 1; + else + return -1; + } + }); // End of function call sort(). + } + static int timeConvert(String date){ + String[]arr=date.split(":"); + int a=100*Integer.parseInt(arr[0]); + int b = Integer.parseInt(arr[1]); + return a+b; + } + public static void main(String[] args) { + /* Enter your code here. Read input from STDIN. Print output to STDOUT. Your class should be named Solution. */ + Scanner in = new Scanner(System.in); + int t = in.nextInt(); + in.nextLine(); + String[][]arr = new String[t][3]; + + int size = 0,index = 0; + for(int i=0;i=last){ + temp++; + last =brr[k][1]; + } + + + } + System.out.println(temp); + + + } +} \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.py b/codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.py new file mode 100644 index 0000000..b04d7b2 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Office-crushes/Solution.py @@ -0,0 +1,29 @@ +''' + This code was written by UOP_Binarybeasts during ACES Precoders v8 2020 + e17212@eng.pdn.ac.lk kalpani.abewickrama@gmail.com ishini.udara@gmail.com +''' +n = int(input().strip()) +meetings = [] + +for i in range(n): + a, s, e = list(map(str,input().strip().split())) + col_idx = s.index(":") + s = int(s[:col_idx])*60 + int(s[col_idx+1:]) + col_idx = e.index(":") + e = int(e[:col_idx])*60 + int(e[col_idx+1:]) + if a=='Y': + meetings.append([i,s,e]) + +sorted_meetings = sorted(meetings,key=lambda x: x[2]) + +s = set([sorted_meetings[0][0]]) + +k=0 + +for i in range(1,len(meetings)): + if sorted_meetings[i][1] >= sorted_meetings[k][2]: + s.add(sorted_meetings[i][0]) + k=i + + +print(len(s)) diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Valentines-day-gifts/Solution.java b/codeBase/ACES_Coders/v8.0/pre-coders/Valentines-day-gifts/Solution.java new file mode 100644 index 0000000..88322ad --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Valentines-day-gifts/Solution.java @@ -0,0 +1,75 @@ +/* + gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk + */ +import javax.sound.midi.SysexMessage; +import java.util.Arrays; +import java.util.HashSet; +import java.util.Scanner; + +class Gift implements Comparable{ + String name; + float radius; + + Gift(String name,float radius){ + this.name=name; + this.radius=radius; + } + + public int compareTo(Gift p){ + return Float.compare(this.radius,p.radius); + } + +} + + +public class Solution { + static Scanner sc=new Scanner(System.in); + + public static void main(String[] args) { + int N=Integer.parseInt(sc.nextLine()); + + Gift[] gifts=new Gift[N]; +// String[] names=new String[N]; +// float[] radius=new float[N]; + + for(int i=0;i names=new HashSet<>(); + + for(int i=0;i(); + + for(int i=0;i(); + } + } + + System.out.println(ans); + + + + } +} From 54979e928c6dbc3c16ef6a30ef190a9033da7782 Mon Sep 17 00:00:00 2001 From: gihanchanaka Date: Sun, 16 Feb 2020 14:22:40 +0530 Subject: [PATCH 002/276] v7 richest days --- .../ACES_Coders/v7.0/coders/RichestDay.py | 20 +++++++++++++++++++ 1 file changed, 20 insertions(+) create mode 100644 codeBase/ACES_Coders/v7.0/coders/RichestDay.py diff --git a/codeBase/ACES_Coders/v7.0/coders/RichestDay.py b/codeBase/ACES_Coders/v7.0/coders/RichestDay.py new file mode 100644 index 0000000..8cc4dac --- /dev/null +++ b/codeBase/ACES_Coders/v7.0/coders/RichestDay.py @@ -0,0 +1,20 @@ +''' + gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk 16/02/2020 +''' +P=int(input()) + +diff=[0]*(100000+1) + +for _ in range(P): + m,s,e=map(int,input().strip().split()) + + diff[s]+=m + diff[e+1]-=m + +pay=[0]*len(diff) + +pay[0]=diff[0] +for i in range(1,len(pay)): + pay[i]=pay[i-1]+diff[i] + +print(max(pay)) From 626631fcdca4c9dc5a31dec360c1cf030495b1c0 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sat, 22 Feb 2020 10:02:27 +0530 Subject: [PATCH 003/276] Create Solution.py --- .../Valentines-day-gifts/Solution.py | 24 +++++++++++++++++++ 1 file changed, 24 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Valentines-day-gifts/Solution.py diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Valentines-day-gifts/Solution.py b/codeBase/ACES_Coders/v8.0/pre-coders/Valentines-day-gifts/Solution.py new file mode 100644 index 0000000..d611bb0 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Valentines-day-gifts/Solution.py @@ -0,0 +1,24 @@ +''' + gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk +''' + +N=int(input()) +names=[] +radii=[] +for _ in range(N): + name,radius=input().strip().split() + names.append(name) + radii.append(float(radius)) +rn=zip(radii,names) +rn=sorted(rn) +ans=1 +noOfCrushes=len(set(names)) + +names=set() +for i in range(N): + names.add(rn[i][1]) + if len(names)==noOfCrushes:#One person can wrap only the gifts of everyone else = ONE less than the no of crushes + ans+=1 + names=set() + names.add(rn[i][1]) +print(ans) From b6861950dccc4577c196bcf7aae6ac414fb65537 Mon Sep 17 00:00:00 2001 From: Suren Sritharan Date: Sun, 23 Feb 2020 17:57:18 +0530 Subject: [PATCH 004/276] Inefficient sol gauntlet --- .../pre-coders/Gauntlet-quest/Solution.py | 39 +++++++++++++++++++ 1 file changed, 39 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py new file mode 100644 index 0000000..6397985 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py @@ -0,0 +1,39 @@ +from heapq import heappop, heappush +from collections import defaultdict + +n, m, k = map(int, raw_input().split()) + +masks = [0] * (n+1) +graph = defaultdict(list) +dp = [[float('inf')]*(2**k+2) for i in xrange(n+1)] + +for i in xrange(1, n+1): + ar = map(int, raw_input().split()) + for t in xrange(1, len(ar)): + masks[i] |= 2**(ar[t]-1) + +for i in range(m): + u, v, w = map(int, raw_input().split()) + graph[u].append((v, w)) + graph[v].append((u, w)) + +queue = [(0, 1, masks[1])] + +# Djikstra +while queue: + cost, node, mask = heappop(queue) + for X in graph[node]: + v, c = X + if cost + c < dp[v][mask|masks[v]]: + heappush(queue, (cost+c, v, mask | masks[v])) + dp[v][mask | masks[v]] = cost + c + +ans = float('inf') + +# Brute force bit manipulation +for i in xrange(2**k): + for j in xrange(2**k): + if i | j == 2**k - 1 and dp[n][j] != float('inf'): + ans = min(ans, max(dp[n][i], dp[n][j])) + +print ans From 08257b9d1239269652a064ea4777509225cf4f8d Mon Sep 17 00:00:00 2001 From: Suren Sritharan Date: Sun, 23 Feb 2020 18:19:40 +0530 Subject: [PATCH 005/276] Inefficient sol gauntlet --- .../Gauntlet-quest/Solution_unoptimized.py | 39 +++++++++++++++++++ 1 file changed, 39 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution_unoptimized.py diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution_unoptimized.py b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution_unoptimized.py new file mode 100644 index 0000000..6397985 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution_unoptimized.py @@ -0,0 +1,39 @@ +from heapq import heappop, heappush +from collections import defaultdict + +n, m, k = map(int, raw_input().split()) + +masks = [0] * (n+1) +graph = defaultdict(list) +dp = [[float('inf')]*(2**k+2) for i in xrange(n+1)] + +for i in xrange(1, n+1): + ar = map(int, raw_input().split()) + for t in xrange(1, len(ar)): + masks[i] |= 2**(ar[t]-1) + +for i in range(m): + u, v, w = map(int, raw_input().split()) + graph[u].append((v, w)) + graph[v].append((u, w)) + +queue = [(0, 1, masks[1])] + +# Djikstra +while queue: + cost, node, mask = heappop(queue) + for X in graph[node]: + v, c = X + if cost + c < dp[v][mask|masks[v]]: + heappush(queue, (cost+c, v, mask | masks[v])) + dp[v][mask | masks[v]] = cost + c + +ans = float('inf') + +# Brute force bit manipulation +for i in xrange(2**k): + for j in xrange(2**k): + if i | j == 2**k - 1 and dp[n][j] != float('inf'): + ans = min(ans, max(dp[n][i], dp[n][j])) + +print ans From 9b68758e6a698d998217d9064b5c2d6e98b9d937 Mon Sep 17 00:00:00 2001 From: Suren Sritharan Date: Sun, 23 Feb 2020 18:22:32 +0530 Subject: [PATCH 006/276] Solution_optimized.py --- .../pre-coders/Gauntlet-quest/Solution.py | 74 +++++++++---------- 1 file changed, 36 insertions(+), 38 deletions(-) diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py index 6397985..0edbea5 100644 --- a/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py @@ -1,39 +1,37 @@ -from heapq import heappop, heappush -from collections import defaultdict - -n, m, k = map(int, raw_input().split()) - -masks = [0] * (n+1) -graph = defaultdict(list) -dp = [[float('inf')]*(2**k+2) for i in xrange(n+1)] - -for i in xrange(1, n+1): - ar = map(int, raw_input().split()) - for t in xrange(1, len(ar)): - masks[i] |= 2**(ar[t]-1) - +''' +NOTE: +Due to the large queue size, the unoptimized solution is comparatively slower (Only in interpreted languages like python). +Thus multiple queues are used, one for each bit mask value. +''' + +from heapq import * +n, m, k = map(int, input().split()) +typ = [sum(map(lambda x: 1 << (x - 1), map(int, input().split()[1:]))) for _ in range(n)] +graph = [[] for i in range(n)] for i in range(m): - u, v, w = map(int, raw_input().split()) - graph[u].append((v, w)) - graph[v].append((u, w)) - -queue = [(0, 1, masks[1])] - -# Djikstra -while queue: - cost, node, mask = heappop(queue) - for X in graph[node]: - v, c = X - if cost + c < dp[v][mask|masks[v]]: - heappush(queue, (cost+c, v, mask | masks[v])) - dp[v][mask | masks[v]] = cost + c - -ans = float('inf') - -# Brute force bit manipulation -for i in xrange(2**k): - for j in xrange(2**k): - if i | j == 2**k - 1 and dp[n][j] != float('inf'): - ans = min(ans, max(dp[n][i], dp[n][j])) - -print ans + a, b, c = map(int, input().split()) + a, b = a - 1, b - 1 + graph[a].append((b, c)) + graph[b].append((a, c)) +k, n = (1 << k) - 1, n - 1 +h = [[] for _ in range(k + 1)] +v = [set() for _ in range(k + 1)] +last = {0: 0} +heappush(h[typ[0]], (0, 0)) +flag = INF = 10 ** 9 +for i in range(k + 1): + while h[i]: + c, a = heappop(h[i]) + if a == n: + for x, y in last.items(): + if i | x == k: + flag = min(flag, max(y, c)) + last[i] = min(c, last.get(i, INF)) + if a in v[i]: + continue + v[i].add(a) + for x, y in graph[a]: + j = typ[x] | i + if x not in v[j]: + heappush(h[j], (y + c, x)) +print(flag) From 61f9f0c8f1218da9974713f7c219006b92b2068a Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sun, 23 Feb 2020 18:44:36 +0530 Subject: [PATCH 007/276] Update Solution.py --- codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py | 1 + 1 file changed, 1 insertion(+) diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py index 0edbea5..17ebf3b 100644 --- a/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution.py @@ -2,6 +2,7 @@ NOTE: Due to the large queue size, the unoptimized solution is comparatively slower (Only in interpreted languages like python). Thus multiple queues are used, one for each bit mask value. +suren.sri@eng.pdn.ac.lk ''' from heapq import * From 1a2bdd147d2b6fc15e86ff397e7be64f501d60d0 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sun, 23 Feb 2020 18:45:03 +0530 Subject: [PATCH 008/276] Update Solution_unoptimized.py --- .../v8.0/pre-coders/Gauntlet-quest/Solution_unoptimized.py | 3 +++ 1 file changed, 3 insertions(+) diff --git a/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution_unoptimized.py b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution_unoptimized.py index 6397985..2c92ae7 100644 --- a/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution_unoptimized.py +++ b/codeBase/ACES_Coders/v8.0/pre-coders/Gauntlet-quest/Solution_unoptimized.py @@ -1,3 +1,6 @@ +''' +suren.sri@eng.pdn.ac.lk +''' from heapq import heappop, heappush from collections import defaultdict From d88d024b6ee2f94504995419ae687d7e5169b017 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 3 Mar 2020 05:31:36 -0800 Subject: [PATCH 009/276] Add files via upload --- .../coders/A-walk-to-remember/Solution.py | 23 +++++++++++++++++++ 1 file changed, 23 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/A-walk-to-remember/Solution.py diff --git a/codeBase/ACES_Coders/v8.0/coders/A-walk-to-remember/Solution.py b/codeBase/ACES_Coders/v8.0/coders/A-walk-to-remember/Solution.py new file mode 100644 index 0000000..95e7b82 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/A-walk-to-remember/Solution.py @@ -0,0 +1,23 @@ +''' + This solution was submitted by Team: eyeCoders_UOP + during ACES Coders v8 2020 + Team lead: Rusiru Thushara thusharakart@gmail.com + + The solution runs in O(n) +''' +def getline():return [float(x) for x in input().strip().split(' ')] +c,e,n,s0 = getline() +arr, lst = [], [] +m = c/s0 +for i in range(int(n)): + x,s = getline() + arr.append((x,s)) + if x=0: + m = max(m,(c-x)/s) + elif s<0: + lst.append((x,s)) +count = 0 +for x,s in lst: + if x+s*m <= c: + count+=1 +print(round(m),count) From cdc35759cd0545e145690cee166a5a8236e7bcdc Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 3 Mar 2020 05:38:16 -0800 Subject: [PATCH 010/276] Add files via upload --- codeBase/ACES_Coders/v8.0/coders/A-Mysterious-Bot/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Dunder-Mifflin/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Essence-scanner/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Game-of-life/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Gift-pack/Readme.md | 1 + .../ACES_Coders/v8.0/coders/Interfering-Base-Stations/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Love-letters/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Prime-Nim-game/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Project-groups/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Schrute-Farms/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/Readme.md | 1 + codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/Readme.md | 1 + .../ACES_Coders/v8.0/coders/The-Heist-of-Musketeers/Readme.md | 1 + 14 files changed, 14 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/A-Mysterious-Bot/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Dunder-Mifflin/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Essence-scanner/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Game-of-life/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Gift-pack/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Interfering-Base-Stations/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Love-letters/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Prime-Nim-game/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Project-groups/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Schrute-Farms/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/Readme.md create mode 100644 codeBase/ACES_Coders/v8.0/coders/The-Heist-of-Musketeers/Readme.md diff --git a/codeBase/ACES_Coders/v8.0/coders/A-Mysterious-Bot/Readme.md b/codeBase/ACES_Coders/v8.0/coders/A-Mysterious-Bot/Readme.md new file mode 100644 index 0000000..d79bab9 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/A-Mysterious-Bot/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact sanoj.punchihewa[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md new file mode 100644 index 0000000..f96865f --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Dunder-Mifflin/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Dunder-Mifflin/Readme.md new file mode 100644 index 0000000..74304bc --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Dunder-Mifflin/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact hishan.indrajith.adikari[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/Readme.md new file mode 100644 index 0000000..d3c7d5e --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact harshana.w[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Game-of-life/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Game-of-life/Readme.md new file mode 100644 index 0000000..92bc416 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Game-of-life/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact suren.sri[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Gift-pack/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Gift-pack/Readme.md new file mode 100644 index 0000000..92bc416 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Gift-pack/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact suren.sri[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Interfering-Base-Stations/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Interfering-Base-Stations/Readme.md new file mode 100644 index 0000000..92bc416 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Interfering-Base-Stations/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact suren.sri[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Love-letters/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Love-letters/Readme.md new file mode 100644 index 0000000..55b67ed --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Love-letters/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact pavithya.mapitigama[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Prime-Nim-game/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Prime-Nim-game/Readme.md new file mode 100644 index 0000000..92bc416 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Prime-Nim-game/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact suren.sri[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Project-groups/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Project-groups/Readme.md new file mode 100644 index 0000000..f96865f --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Project-groups/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Schrute-Farms/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Schrute-Farms/Readme.md new file mode 100644 index 0000000..92bc416 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Schrute-Farms/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact suren.sri[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/Readme.md new file mode 100644 index 0000000..d3c7d5e --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact harshana.w[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/Readme.md new file mode 100644 index 0000000..d3c7d5e --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact harshana.w[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file diff --git a/codeBase/ACES_Coders/v8.0/coders/The-Heist-of-Musketeers/Readme.md b/codeBase/ACES_Coders/v8.0/coders/The-Heist-of-Musketeers/Readme.md new file mode 100644 index 0000000..92bc416 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/The-Heist-of-Musketeers/Readme.md @@ -0,0 +1 @@ +The solution will be added later. Please contact suren.sri[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file From 852bc328cdea35b6a162d9df2aa4e85eb95b33ae Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 3 Mar 2020 19:10:54 +0530 Subject: [PATCH 011/276] Create Readme.md --- codeBase/ACES_Coders/v8.0/coders/Readme.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/Readme.md diff --git a/codeBase/ACES_Coders/v8.0/coders/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Readme.md new file mode 100644 index 0000000..0ea478e --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Readme.md @@ -0,0 +1 @@ +Hackerrank: https://www.hackerrank.com/contests/aces-coders-v8/challenges From d8ad11b76b1380ef0f34dfecd7fd6c595aae76cf Mon Sep 17 00:00:00 2001 From: Dhanushki Date: Fri, 6 Mar 2020 20:59:58 +0530 Subject: [PATCH 012/276] Solution Love-letters --- .../v8.0/coders/Love-letters/solution.py | 94 +++++++++++++++++++ 1 file changed, 94 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/Love-letters/solution.py diff --git a/codeBase/ACES_Coders/v8.0/coders/Love-letters/solution.py b/codeBase/ACES_Coders/v8.0/coders/Love-letters/solution.py new file mode 100644 index 0000000..bbb38b2 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Love-letters/solution.py @@ -0,0 +1,94 @@ +# Written by: Dhanushki Mapitigama +# pavithya.mapitigama@eng.pdn.ac.lk + + +# In here we are using Aho corasick algorithm for the fully optimized solution. + +FAIL = -1 + +keywords = [] + +S, N = (int(val) for val in str(input()).split()) + + +for i in range (S): + w = input() + word = w.rstrip() + word = word.lower() + keywords.append(word) + + +# creating the Trie dictionary by adding given words + +transitions = {} +outputs = {} +fails = {} + +new_state = 0 + +for keyword in keywords: + state = 0 + + for j, char in enumerate(keyword): + res = transitions.get((state, char), FAIL) + if res == FAIL: + break + state = res + + for char in keyword[j:]: + new_state += 1 + transitions[(state, char)] = new_state + state = new_state + + outputs[state] = [keyword] + +queue = [] + +for (from_state, char), to_state in transitions.items(): + if from_state == 0 and to_state != 0: + queue.append(to_state) + fails[to_state] = 0 + +while queue: + r = queue.pop(0) + for (from_state, char), to_state in transitions.items(): + if from_state == r: + queue.append(to_state) + state = fails[from_state] + + while True: + res = transitions.get((state, char), state and FAIL) + if res != FAIL: + break + state = fails[state] + + failure = transitions.get((state, char), state and FAIL) + fails[to_state] = failure + outputs.setdefault(to_state, []).extend( + outputs.get(failure, [])) + + + +# Taking letters one by one and check with the created dictionary + +for j in range (N): + root = [] + letter = input().rstrip() + state = 0 + results = [] + for i, char in enumerate(letter.lower()): + while True: + res = transitions.get((state, char), state and FAIL) + if res != FAIL: + state = res + break + state = fails[state] + + for match in outputs.get(state, ()): + pos = i - len(match) + 1 + results.append(match) + + root = results + + if len(root): + print(str(j)+ " " + str(len(root))) From 8a8048aa96e310bbba097ae518d0d9ac6c71528f Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 10 Mar 2020 14:48:45 +0530 Subject: [PATCH 013/276] Create Solution.java --- .../v8.0/coders/Project-groups/Solution.java | 149 ++++++++++++++++++ 1 file changed, 149 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/Project-groups/Solution.java diff --git a/codeBase/ACES_Coders/v8.0/coders/Project-groups/Solution.java b/codeBase/ACES_Coders/v8.0/coders/Project-groups/Solution.java new file mode 100644 index 0000000..1f75d81 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Project-groups/Solution.java @@ -0,0 +1,149 @@ +/* + Problem setter's code. + gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk + 2020-02-27 + + The time complexity is O(N^2 log(N)) + The memory complexity is O(N) +*/ + +import java.lang.reflect.Array; +import java.util.Arrays; +import java.util.Scanner; + +public class Solution { + static boolean DEBUG=false; + static Scanner sc=new Scanner(System.in); + public static void main(String[] args) { + String[] temp=sc.nextLine().trim().split(" "); + + int N=Integer.parseInt(temp[0]); + int D=Integer.parseInt(temp[1]); + float DD=(float)D; + + float[][] theta12=new float[N][2]; + double[][] xyf=new double[N][2]; + + + + + for(int n=0;n=2){ + ans+=(currCount*(currCount-1))/2; + if(DEBUG){ + System.out.println("FOUND!"+ ans); + } + } + currCount=1; + curr=ar[ss]; + } + + if(DEBUG){ + System.out.println(curr+" "+ar[ss]+" "+currCount); + } + } + } + if(DEBUG){ + System.out.println("ANSWER: "+ans); + } + + return ans; + } +} From 90d1df2b6185f7ccd0706aa0c3dbfe092f4c039f Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 10 Mar 2020 14:48:56 +0530 Subject: [PATCH 014/276] Delete Readme.md --- codeBase/ACES_Coders/v8.0/coders/Project-groups/Readme.md | 1 - 1 file changed, 1 deletion(-) delete mode 100644 codeBase/ACES_Coders/v8.0/coders/Project-groups/Readme.md diff --git a/codeBase/ACES_Coders/v8.0/coders/Project-groups/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Project-groups/Readme.md deleted file mode 100644 index f96865f..0000000 --- a/codeBase/ACES_Coders/v8.0/coders/Project-groups/Readme.md +++ /dev/null @@ -1 +0,0 @@ -The solution will be added later. Please contact gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file From e419b81c1793bc384a456cf9bbab5c9a07e64589 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 10 Mar 2020 14:53:43 +0530 Subject: [PATCH 015/276] Create Solution2.cpp --- .../v8.0/coders/Project-groups/Solution2.cpp | 106 ++++++++++++++++++ 1 file changed, 106 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/Project-groups/Solution2.cpp diff --git a/codeBase/ACES_Coders/v8.0/coders/Project-groups/Solution2.cpp b/codeBase/ACES_Coders/v8.0/coders/Project-groups/Solution2.cpp new file mode 100644 index 0000000..a40179a --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Project-groups/Solution2.cpp @@ -0,0 +1,106 @@ +/* + This is a solution posted by the hackerrank user : https://www.hackerrank.com/Mevan_Niluminda after the competition. + The solution achieved 100% marks. + + Time complexity: O(N^2) + Space complexity: O(D^2) + + +*/ +#include +using namespace std; +struct point_t +{ + int x; + int y; +}; + +unsigned int squared_distance(const point_t &p1, const point_t &p2) +{ + int a = p2.x - p1.x; + int b = p2.y - p1.y; + return a*a + b*b; +} +void vec_print(int num[],int N){ + for(int i=0;i>N>>D; + map > d; + vector names; + for(int i=0;i>ty>>number; + names.push_back(ty); + d[ty].first = number; + } + for(int i=0;i>ty>>number; + d[ty].second = number; + } + + vector points; + for ( int j=0;j0){ + nb_triangles = nb_triangles + ((distances[dis[i]]*(distances[dis[i]]-1))>>1); + distances[dis[i]] = 0; + } + + // cout< Date: Tue, 10 Mar 2020 23:46:40 +0530 Subject: [PATCH 016/276] Create sol.py --- .../v8.0/coders/Essence-scanner/sol.py | 85 +++++++++++++++++++ 1 file changed, 85 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/Essence-scanner/sol.py diff --git a/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/sol.py b/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/sol.py new file mode 100644 index 0000000..0382a87 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/sol.py @@ -0,0 +1,85 @@ +def f(X,Y,M,_x,_y): + ret = 0 + for i in range(len(X)): + d = (X[i]-_x)**2 + (Y[i]-_y)**2 + d = d**0.5 + ret += d*M[i] + return ret + +def geometricMedian(x, y, m): + n = len(x) + + # start assumption from Center of Mass + _x,_y = 0, 0 + for i in range(n): + _x += x[i] * m[i] + _y += y[i] * m[i] + _x,_y = _x/sum(m),_y/sum(m) + opt_d = f(x,y,m,_x,_y) + + + for i in range(n): + newd = f(x,y, m, x[i],y[i]) + if (newd < opt_d): + opt_d = newd + _x = x[i] + _y = y[i] + + test_distance = 10**5 + + test_x = [-1,0,1,0] + test_y = [0,1,0,-1] + delta = 10**100 + while (test_distance > lower_limit and delta > 1e-7): + + flag = 0 + for i in range(4): + newx = _x + test_distance * test_x[i] + newy = _y + test_distance * test_y[i] + newd = f(x,y,m, newx,newy) + if (newd < opt_d): + delta = opt_d - newd + opt_d = newd + _x = newx + _y = newy + # print("new loc {:.6f} {:.6f} d={:.6f} delta={:8f} testd={:.8f}".format(_x,_y,opt_d,delta,test_distance)) + flag = 1 + break + if (flag == 0): + test_distance /= 2 + return _x,_y + +lower_limit = 1e-5 +N,M = map(int,input().split()) +Xs,Ys = [],[] +ms = [] +for i in range(N): + x,y,m = map(int,input().split()) + Xs.append(x) + Ys.append(y) + ms.append(m) + + +xC,yC = geometricMedian(Xs, Ys, ms) + +_x,_y = 0, 0 +for i in range(len(Xs)): + _x += Xs[i] * ms[i] + _y += Ys[i] * ms[i] +_x,_y = _x/sum(ms),_y/sum(ms) + + +Xs.append(0) +Ys.append(0) +ms.append(M) +xH,yH = geometricMedian(Xs, Ys, ms) + +_x,_y = 0, 0 +for i in range(len(Xs)): + _x += Xs[i] * ms[i] + _y += Ys[i] * ms[i] +_x,_y = _x/sum(ms),_y/sum(ms) + + +print("{} {}".format(round(xC),round(yC))) +print("{} {}".format(round(xH),round(yH))) From f4a70250877bac28791be5778c2bd430a068a67d Mon Sep 17 00:00:00 2001 From: Harshana Weligampola Date: Tue, 10 Mar 2020 23:47:50 +0530 Subject: [PATCH 017/276] Create sol.py --- .../v8.0/coders/Send-reinforcements/sol.py | 74 +++++++++++++++++++ 1 file changed, 74 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/sol.py diff --git a/codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/sol.py b/codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/sol.py new file mode 100644 index 0000000..9c1ee6b --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/sol.py @@ -0,0 +1,74 @@ +from cmath import exp, pi + +def fft(x): + N = len(x) + if N <= 1: return x + even = fft(x[0::2]) + odd = fft(x[1::2]) + T= [exp(-2j*pi*k/N)*odd[k] for k in range(N//2)] + return [even[k] + T[k] for k in range(N//2)] + [even[k] - T[k] for k in range(N//2)] + +def ifft(X): + for i in range(len(X)): + X[i] = X[i].conjugate() + x = fft(X) + for i in range(len(x)): + x[i] = x[i].conjugate()/len(X) + return x + + +N,T,logP = map(int,input().split()) +P = 10**logP + +arr=[] +for _ in range(T): + arr.append(list(map(int,input().split()))) +W = int(input()) +req = list(map(int,input().split())) + +cnt = [[0 for _ in range(max(arr[t])+1)] for t in range(T)] +N2 = 0 +for x in range(T): + N2 += len(cnt[x]) + for y in range(N): + cnt[x][arr[x][y]] += 1 + +#padding 0s +Np = 1 +while Np P: + final_ans.append(tmp_i[k]) + if tmp[k] < 0.5: + zeros += 1 +final_ans.sort() + +print(" ".join(map(str, final_ans)).strip()) From 7232552e0ecf5e2ed5d94ed0ec049e1852e58f12 Mon Sep 17 00:00:00 2001 From: Harshana Weligampola Date: Tue, 10 Mar 2020 23:48:41 +0530 Subject: [PATCH 018/276] Create sol.py --- .../v8.0/coders/Stop-the-Fire/sol.py | 187 ++++++++++++++++++ 1 file changed, 187 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/sol.py diff --git a/codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/sol.py b/codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/sol.py new file mode 100644 index 0000000..71e9b56 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/sol.py @@ -0,0 +1,187 @@ +# Python program to find articulation points in an undirected graph + +from collections import defaultdict +import math +#This class represents an undirected graph +#using adjacency list representation +class Graph: + + def __init__(self,vertices): + self.V= vertices #No. of vertices + self.graph = defaultdict(list) # default dictionary to store graph + self.Time = 0 + + # function to add an edge to graph + def addEdge(self,u,v): + self.graph[u].append(v) + self.graph[v].append(u) + + '''A recursive function that find articulation points + using DFS traversal + u --> The vertex to be visited next + visited[] --> keeps tract of visited vertices + disc[] --> Stores discovery times of visited vertices + parent[] --> Stores parent vertices in DFS tree + ap[] --> Store articulation points''' + def APUtil(self,u, visited, ap, parent, low, disc, chd): + + #Count of children in current node + children =0 + decendants = 0 + # Mark the current node as visited and print it + visited[u]= True + + # Initialize discovery time and low value + disc[u] = self.Time + low[u] = self.Time + self.Time += 1 + + #Recur for all the vertices adjacent to this vertex + for v in self.graph[u]: + # If v is not visited yet, then make it a child of u + # in DFS tree and recur for it + if visited[v] == False : + parent[v] = u + children += 1 + decendants += 1 + decendants += self.APUtil(v, visited, ap, parent, low, disc,chd) + + # Check if the subtree rooted with v has a connection to + # one of the ancestors of u + low[u] = min(low[u], low[v]) + + chd[u] = decendants + + # u is an articulation point in following cases + # (1) u is root of DFS tree and has two or more chilren. + if parent[u] == -1 and children > 1: + ap[u] = True + + #(2) If u is not root and low value of one of its child is more + # than discovery value of u. + if parent[u] != -1 and low[v] >= disc[u]: + ap[u] = True + + # Update low value of u for parent function calls + elif v != parent[u]: + low[u] = min(low[u], disc[v]) + return decendants + + #The function to do DFS traversal. It uses recursive APUtil() + def AP(self,start): + + # Mark all the vertices as not visited + # and Initialize parent and visited, + # and ap(articulation point) arrays + visited = [False] * (self.V) + disc = [float("Inf")] * (self.V) + low = [float("Inf")] * (self.V) + parent = [-1] * (self.V) + ap = [False] * (self.V) #To store articulation points + chd = [0] *self.V + # Call the recursive helper function + # to find articulation points + # in DFS tree rooted with vertex 'i' + + self.APUtil(start, visited, ap, parent, low, disc, chd) + + return ap,chd + +class Graph2(): + + def __init__(self, vertices): + self.V = vertices + self.graph = [[0 for column in range(vertices)] + for row in range(vertices)] + + # A utility function to find the vertex with + # minimum distance value, from the set of vertices + # not yet included in shortest path tree + def minDistance(self, dist, sptSet): + + # Initilaize minimum distance for next node + _min = 10**100 + + # Search not nearest vertex not in the + # shortest path tree + + for v in range(self.V): + if dist[v] < _min and sptSet[v] == False: + _min = dist[v] + min_index = v + return min_index + + # Funtion that implements Dijkstra's single source + # shortest path algorithm for a graph represented + # using adjacency matrix representation + def dijkstra(self, src): + + dist = [10**100] * self.V + dist[src] = 0 + sptSet = [False] * self.V + + for cout in range(self.V): + + # Pick the minimum distance vertex from + # the set of vertices not yet processed. + # u is always equal to src in first iteration + u = self.minDistance(dist, sptSet) + + # Put the minimum distance vertex in the + # shotest path tree + sptSet[u] = True + + # Update dist value of the adjacent vertices + # of the picked vertex only if the current + # distance is greater than new distance and + # the vertex in not in the shotest path tree + for v in range(self.V): + if self.graph[u][v] > 0 and sptSet[v] == False and dist[v] > dist[u] + self.graph[u][v]: + dist[v] = dist[u] + self.graph[u][v] + return dist +N,S,M = map(int,input().split()) + +arr = [[0 for _ in range(N)] for _ in range(N)] + +for _ in range(M): + a,b,w = input().split() + arr[int(a)][int(b)] = float(w) + +g1 = Graph(N) +for i in range(N): + for j in range(i+1,N): + if arr[i][j] > 0: + g1.addEdge(i,j) + +ap,chd = g1.AP(S) +aps = [] +for index, value in enumerate (ap): + if value == True: + aps.append(index) + +arr_log = [[0 for _ in range(N)] for _ in range(N)] +for i in range(N): + for j in range(N): + if (arr[i][j] > 0): + arr_log[i][j] = -math.log10(arr[i][j]) + else: + arr_log[i][j] = 10*100 + +g = Graph2(N) +g.graph = arr_log + +dist = g.dijkstra(S) + +_max = -10**100 +ans = -1 +for ap in aps: + if 10**(-dist[ap])*chd[ap] > _max: + if ap == S: + continue + _max = 10**(-dist[ap])*chd[ap] + ans = ap + +print(ans) + + + From 9eadcfbb5b85f3cd2ef7f10eba8c1fe46a20c394 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Wed, 11 Mar 2020 05:54:02 +0530 Subject: [PATCH 019/276] Delete Readme.md --- codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/Readme.md | 1 - 1 file changed, 1 deletion(-) delete mode 100644 codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/Readme.md diff --git a/codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/Readme.md deleted file mode 100644 index d3c7d5e..0000000 --- a/codeBase/ACES_Coders/v8.0/coders/Send-reinforcements/Readme.md +++ /dev/null @@ -1 +0,0 @@ -The solution will be added later. Please contact harshana.w[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file From 22873cdb41d0a4c1bfb59b748220a582c4cc67b6 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Wed, 11 Mar 2020 05:54:26 +0530 Subject: [PATCH 020/276] Delete Readme.md --- codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/Readme.md | 1 - 1 file changed, 1 deletion(-) delete mode 100644 codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/Readme.md diff --git a/codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/Readme.md deleted file mode 100644 index d3c7d5e..0000000 --- a/codeBase/ACES_Coders/v8.0/coders/Stop-the-Fire/Readme.md +++ /dev/null @@ -1 +0,0 @@ -The solution will be added later. Please contact harshana.w[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file From 76e7b4dd8e1257a87a10e35ae82ab9528e4be7bd Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Wed, 11 Mar 2020 05:54:49 +0530 Subject: [PATCH 021/276] Delete Readme.md --- codeBase/ACES_Coders/v8.0/coders/Love-letters/Readme.md | 1 - 1 file changed, 1 deletion(-) delete mode 100644 codeBase/ACES_Coders/v8.0/coders/Love-letters/Readme.md diff --git a/codeBase/ACES_Coders/v8.0/coders/Love-letters/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Love-letters/Readme.md deleted file mode 100644 index 55b67ed..0000000 --- a/codeBase/ACES_Coders/v8.0/coders/Love-letters/Readme.md +++ /dev/null @@ -1 +0,0 @@ -The solution will be added later. Please contact pavithya.mapitigama[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file From d9b92b27bacb49c8e1bd8f47ad8149aacdbf9ed0 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Wed, 11 Mar 2020 05:55:09 +0530 Subject: [PATCH 022/276] Delete Readme.md --- codeBase/ACES_Coders/v8.0/coders/Essence-scanner/Readme.md | 1 - 1 file changed, 1 deletion(-) delete mode 100644 codeBase/ACES_Coders/v8.0/coders/Essence-scanner/Readme.md diff --git a/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/Readme.md deleted file mode 100644 index d3c7d5e..0000000 --- a/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/Readme.md +++ /dev/null @@ -1 +0,0 @@ -The solution will be added later. Please contact harshana.w[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file From e1e113b55349293362aa55ff3b521eee38aa5596 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sun, 15 Mar 2020 12:26:25 +0530 Subject: [PATCH 023/276] Create Solution_dtdinidu7.py --- .../Basketball-tryouts/Solution_dtdinidu7.py | 38 +++++++++++++++++++ 1 file changed, 38 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution_dtdinidu7.py diff --git a/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution_dtdinidu7.py b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution_dtdinidu7.py new file mode 100644 index 0000000..2ba0285 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution_dtdinidu7.py @@ -0,0 +1,38 @@ +n, d = [int(i) for i in input().split()] + +A = {} +C = {} + +shoots = 0 + +def rangeD(e1, s2, e2): + tmp = min(e1, e2) - s2+1 + return(tmp if tmp >= 0 else -1) + +for _ in range(n): + s, e, t, num = [i for i in input().split()] + s, e, num = int(s), int(e), int(num) + shoots += (e-s+1)*num + if (t == "A"): + if num in A: + A[num] = max(A[num], e) + else: + A[num] = e + elif (t == "C"): + if num in C: + C[num] = min(C[num], s) + else: + C[num] = s + +print(shoots, end = ' ') + +maxVal = 0 + +for a in A: + for c in C: + if (a > c): + tmp = rangeD(A[a], C[c], d) + if not tmp == -1: + maxVal = max(maxVal, tmp*(a-c)) + +print(shoots+maxVal) From 83127e574ad4038d438c80aceaa945e60ee9e40f Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sun, 15 Mar 2020 12:26:52 +0530 Subject: [PATCH 024/276] Create Solution_InterGreat_UOP.py --- .../Solution_InterGreat_UOP.py | 45 +++++++++++++++++++ 1 file changed, 45 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution_InterGreat_UOP.py diff --git a/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution_InterGreat_UOP.py b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution_InterGreat_UOP.py new file mode 100644 index 0000000..7b56896 --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution_InterGreat_UOP.py @@ -0,0 +1,45 @@ +from collections import defaultdict + +def pair(): + maxi = 0 + for ele in As: + a = A[ele] + for eleC in Cs: + c = C[eleC] + val = (ele - eleC) * (a - c + 1) + if val > maxi: + maxi = val + return maxi + +N, D = list(map(int, input().split())) +A = defaultdict() +C = defaultdict() +sA = 0 +sC = 0 +sB = 0 +numA = -1 +numC = -1 +for t in range(N): + t1, t2, t3, t4 = input().split() + t1 = int(t1) + t2 = int(t2) + t4 = int(t4) + if t3 == "A": + numA += 1 + if (t4 not in A) or A[t4] < t2: + A[t4] = t2 + sA += (t4 * t2) + elif t3 == "B": + sB += (t2 - t1 + 1) * t4 + else: + numC += 1 + if (t4 not in C) or C[t4] > t1: + C[t4] = t1 + sC += (t2 - t1 + 1) * t4 +unpaired = sA + sB + sC +As = A +Cs = C +# As = sorted(A.keys(), reverse = True) +# Cs = sorted(C.keys()) +paired = pair() +print(str(unpaired) + " " + str(unpaired + paired)) From e82d85d48caeb0010fea7bcba81d692bcf688f90 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sun, 15 Mar 2020 12:26:59 +0530 Subject: [PATCH 025/276] Update Readme.md --- .../v8.0/coders/Basketball-tryouts/Readme.md | 12 +++++++++++- 1 file changed, 11 insertions(+), 1 deletion(-) diff --git a/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md index f96865f..c857a00 100644 --- a/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md +++ b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md @@ -1 +1,11 @@ -The solution will be added later. Please contact gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk for support. \ No newline at end of file +# Basketball Tryouts - Solution + +The constraints of the problem are, +N < 500000 +D < 1000000 + +For a solution to work in under 2 sec for C / 4 sec for JAVA or 10 sec for python, the solution ought to be of time complexity O(N log(N)) at worst. + +No team scored full marks for this question during the competition. But several users have scored full marks while upsolving the problem after the competition ended. These solutions are of order O(N^2). Apparently, it is possible to get full marks for this question even with an O(N^2) solution with several clever tweaks. + +O(N^2) solutions : Solution_dtdinidu7.py , Solution_InterGreat_UOP.py From f545997f90229ca73a6276001d07ce4cbc61f717 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sun, 15 Mar 2020 12:31:20 +0530 Subject: [PATCH 026/276] Create Solution.cpp --- .../coders/Basketball-tryouts/Solution.cpp | 148 ++++++++++++++++++ 1 file changed, 148 insertions(+) create mode 100644 codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution.cpp diff --git a/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution.cpp b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution.cpp new file mode 100644 index 0000000..be1159f --- /dev/null +++ b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Solution.cpp @@ -0,0 +1,148 @@ +#include +#include + +#include +#include +#include +using namespace std; + + +bool DEBUG= false; + +vector > normalize(vector > v) { + vector > ret; + sort(v.begin(), v.end()); + for (int i = 0; i < v.size(); i++) { + while (ret.size() && ret.back().first <= v[i].first && + ret.back().second <= v[i].second) { + ret.pop_back(); + } + ret.push_back(v[i]); + } + return ret; +} + +vector > rev(vector > v) { + reverse(v.begin(), v.end()); + for (int i = 0; i < v.size(); i++) v[i].first = -v[i].first; + for (int i = 0; i < v.size(); i++) v[i].second = -v[i].second; + return v; +} + +long long solve(const vector >& a, int ai1, int ai2, + const vector >& b, int bi1, int bi2, + bool swapped) { + if (ai2-ai1 <= 50 || bi2-bi1 <= 50) { + long long ret = 0; + for (int i = ai1; i < ai2; i++) + for (int j = bi1; j < bi2; j++) { + if (swapped) { + ret = max(ret, (long long)min(0, b[j].first-a[i].first) * + (b[j].second-a[i].second)); + } else { + ret = max(ret, (long long)max(0, b[j].first-a[i].first) * + (b[j].second-a[i].second)); + } + } + return ret; + } + + vector > b1, b2; + int i = (ai2+ai1)/2; + for (int j = bi1; j+1 < bi2; j += 2) { + long long v1 = (long long)(b[j].first-a[i].first) * + (b[j].second-a[i].second); + long long v2 = (long long)(b[j+1].first-a[i].first) * + (b[j+1].second-a[i].second); + if (v1 < v2) { + b1.push_back(b[j]); b1.push_back(b[j+1]); b2.push_back(b[j+1]); + } else { + b1.push_back(b[j]); b2.push_back(b[j]); b2.push_back(b[j+1]); + } + } + if ((bi2-bi1)%2) { b1.push_back(b[bi2-1]); b2.push_back(b[bi2-1]); } + + return max(solve(b1, 0, b1.size(), a, ai1, i, !swapped), + solve(b2, 0, b2.size(), a, i, ai2, !swapped)); +} + +int main() { + int N, D; + scanf("%d %d",&N,&D); + +// vector > A, C; + + int ar_st[N]; + int ar_en[N]; + char ar_type[N]; + int ar_score[N]; + + int countA=0,countB=0,countC=0; + + long ansA,ansB=0,ansC=0; + + int n=0; + for(n=0;n > A(countA), C(countC); + countA=0,countB=0,countC=0; + for(n=0;n Date: Sun, 15 Mar 2020 12:31:42 +0530 Subject: [PATCH 027/276] Update Readme.md --- codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md index c857a00..a6fdf06 100644 --- a/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md +++ b/codeBase/ACES_Coders/v8.0/coders/Basketball-tryouts/Readme.md @@ -8,4 +8,6 @@ For a solution to work in under 2 sec for C / 4 sec for JAVA or 10 sec for pytho No team scored full marks for this question during the competition. But several users have scored full marks while upsolving the problem after the competition ended. These solutions are of order O(N^2). Apparently, it is possible to get full marks for this question even with an O(N^2) solution with several clever tweaks. +O(N log(N)) Solution: Solution.cpp O(N^2) solutions : Solution_dtdinidu7.py , Solution_InterGreat_UOP.py + From aba095e8708508bc3e2120da3babb4ee42bd8847 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sun, 15 Mar 2020 12:36:28 +0530 Subject: [PATCH 028/276] Create Solution.java --- .../Solution.java | 335 ++++++++++++++++++ 1 file changed, 335 insertions(+) create mode 100644 codeBase/CodeJam/2018/2018_qualification_SavingTheUniverseAgain/Solution.java diff --git a/codeBase/CodeJam/2018/2018_qualification_SavingTheUniverseAgain/Solution.java b/codeBase/CodeJam/2018/2018_qualification_SavingTheUniverseAgain/Solution.java new file mode 100644 index 0000000..f616c6b --- /dev/null +++ b/codeBase/CodeJam/2018/2018_qualification_SavingTheUniverseAgain/Solution.java @@ -0,0 +1,335 @@ + +import java.util.*; +import java.io.*; + +class InputReader { + BufferedReader bReader; + StringTokenizer tokenizer; + + InputReader(InputStream inputStream){ + InputStreamReader inStreamReader=new InputStreamReader(inputStream); + bReader=new BufferedReader(inStreamReader); + tokenizer=new StringTokenizer(""); + + } + + public String nextLine(){ + try{ + String inLine= bReader.readLine(); + tokenizer= new StringTokenizer(inLine); + return inLine; + + } + catch(Exception e){ + return null; + } + } + + public String nextWord(){ + while(tokenizer== null || !tokenizer.hasMoreTokens()){ + nextLine(); + //tokenizer=new StringTokenizer(nextLine()); + } + return tokenizer.nextToken(); + } + + public boolean hasNext(){ + try{ + return bReader.ready(); + } + catch(Exception e){ + return false; + } + } + + + +} + +class IO2 { + static InputReader sc=new InputReader(System.in); + + public static String readLine(){ + return sc.nextLine(); + } + public static String readWord(){ + return sc.nextWord(); + } + + public static int readInt(){ + return Integer.parseInt(readWord()); + } + + public static long readLong(){ + return Long.parseLong(readWord()); + } + + public static double readDouble(){ + return Double.parseDouble(readWord()); + } + + public static float readFloat(){ + return Float.parseFloat(readWord()); + } + + public static char readChar(){ + return (char) readInt(); + } + + public static int readIntLine(){ + return Integer.parseInt(readLine().trim()); + } + + public static long readLongLine(){ + return Long.parseLong(readLine().trim()); + } + + public static double readDoubleLine(){ + return Double.parseDouble(readLine().trim()); + } + + public static float readFloatLine(){ + return Float.parseFloat(readLine().trim()); + } + + public static char readCharLine(){ + return (char)readIntLine(); + } + + public static int[] readIntArray(int noOfElements){ + int[] ans=new int[noOfElements]; + for(int x=0;x0)System.out.print(ar[ar.length-1]); + System.out.println(""); + } + public static void printFast(long[][] ar){ + for(int x=0;xD){ + if(swapOnce())swaps++; + else break; + } + + if(damage()<=D)IO2.print("Case #"+t+": "+swaps); + else IO2.print("Case #"+t+": "+"IMPOSSIBLE"); + } + + + } + + public static long damage(){ + long ans=0; + long curDamage=1; + + for(int x=0;x=0;x--){ + if(x==0)return false; + else{ + if(ar[x]=='S' && ar[x-1]=='C'){ + ar[x]='C';ar[x-1]='S'; + return true; + } + } + } + return false; + } +} + From 18f5b9d3ab67654abe044bb56b9ecbb39229dd92 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sun, 15 Mar 2020 12:37:32 +0530 Subject: [PATCH 029/276] Update Solution.java --- .../2018_qualification_SavingTheUniverseAgain/Solution.java | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/codeBase/CodeJam/2018/2018_qualification_SavingTheUniverseAgain/Solution.java b/codeBase/CodeJam/2018/2018_qualification_SavingTheUniverseAgain/Solution.java index f616c6b..a11fdd5 100644 --- a/codeBase/CodeJam/2018/2018_qualification_SavingTheUniverseAgain/Solution.java +++ b/codeBase/CodeJam/2018/2018_qualification_SavingTheUniverseAgain/Solution.java @@ -1,4 +1,7 @@ - +/* + Code written by gihanjayatilaka[at]eng.pdn.ac.lk during Code Jam 2018 + This solution passed all test cases +*/ import java.util.*; import java.io.*; From a969f99be2f595e2274784ecbaf6154902779d7f Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sun, 15 Mar 2020 12:38:37 +0530 Subject: [PATCH 030/276] Create Solution.java --- .../Solution.java | 338 ++++++++++++++++++ 1 file changed, 338 insertions(+) create mode 100644 codeBase/CodeJam/2018/2018_qualification_TroubleSort/Solution.java diff --git a/codeBase/CodeJam/2018/2018_qualification_TroubleSort/Solution.java b/codeBase/CodeJam/2018/2018_qualification_TroubleSort/Solution.java new file mode 100644 index 0000000..4b4e335 --- /dev/null +++ b/codeBase/CodeJam/2018/2018_qualification_TroubleSort/Solution.java @@ -0,0 +1,338 @@ +/* + Code written by gihanjayatilaka[at]eng.pdn.ac.lk during Code Jam 2018 + This solution passed all test cases +*/ +import java.util.*; +import java.io.*; + +class InputReader { + BufferedReader bReader; + StringTokenizer tokenizer; + + InputReader(InputStream inputStream){ + InputStreamReader inStreamReader=new InputStreamReader(inputStream); + bReader=new BufferedReader(inStreamReader); + tokenizer=new StringTokenizer(""); + + } + + public String nextLine(){ + try{ + String inLine= bReader.readLine(); + tokenizer= new StringTokenizer(inLine); + return inLine; + + } + catch(Exception e){ + return null; + } + } + + public String nextWord(){ + while(tokenizer== null || !tokenizer.hasMoreTokens()){ + nextLine(); + //tokenizer=new StringTokenizer(nextLine()); + } + return tokenizer.nextToken(); + } + + public boolean hasNext(){ + try{ + return bReader.ready(); + } + catch(Exception e){ + return false; + } + } + + + +} + +class IO2 { + static InputReader sc=new InputReader(System.in); + + public static String readLine(){ + return sc.nextLine(); + } + public static String readWord(){ + return sc.nextWord(); + } + + public static int readInt(){ + return Integer.parseInt(readWord()); + } + + public static long readLong(){ + return Long.parseLong(readWord()); + } + + public static double readDouble(){ + return Double.parseDouble(readWord()); + } + + public static float readFloat(){ + return Float.parseFloat(readWord()); + } + + public static char readChar(){ + return (char) readInt(); + } + + public static int readIntLine(){ + return Integer.parseInt(readLine().trim()); + } + + public static long readLongLine(){ + return Long.parseLong(readLine().trim()); + } + + public static double readDoubleLine(){ + return Double.parseDouble(readLine().trim()); + } + + public static float readFloatLine(){ + return Float.parseFloat(readLine().trim()); + } + + public static char readCharLine(){ + return (char)readIntLine(); + } + + public static int[] readIntArray(int noOfElements){ + int[] ans=new int[noOfElements]; + for(int x=0;x0)System.out.print(ar[ar.length-1]); + System.out.println(""); + } + public static void printFast(long[][] ar){ + for(int x=0;xar[1][x]){ + ok=false; + wrongIndex=2*x; + break; + } + if(ar[1][x]>ar[0][x+1]){ + ok=false; + wrongIndex=2*x+1; + break; + } + } + + if(ok)if(ar[0][ar[0].length-1]>ar[1][ar[0].length-1]){ + ok=false; + wrongIndex=N-2; + } + + //for(int x=0;x Date: Sun, 15 Mar 2020 12:39:25 +0530 Subject: [PATCH 031/276] Create Solution.java --- .../2018_qualification_GoGhoper/Solution.java | 355 ++++++++++++++++++ 1 file changed, 355 insertions(+) create mode 100644 codeBase/CodeJam/2018/2018_qualification_GoGhoper/Solution.java diff --git a/codeBase/CodeJam/2018/2018_qualification_GoGhoper/Solution.java b/codeBase/CodeJam/2018/2018_qualification_GoGhoper/Solution.java new file mode 100644 index 0000000..976e8f0 --- /dev/null +++ b/codeBase/CodeJam/2018/2018_qualification_GoGhoper/Solution.java @@ -0,0 +1,355 @@ +/* + Code written by gihanjayatilaka[at]eng.pdn.ac.lk during Code Jam 2018 + This solution passed all test cases +*/ +import java.util.*; +import java.io.*; + +class InputReader { + BufferedReader bReader; + StringTokenizer tokenizer; + + InputReader(InputStream inputStream){ + InputStreamReader inStreamReader=new InputStreamReader(inputStream); + bReader=new BufferedReader(inStreamReader); + tokenizer=new StringTokenizer(""); + + } + + public String nextLine(){ + try{ + String inLine= bReader.readLine(); + tokenizer= new StringTokenizer(inLine); + return inLine; + + } + catch(Exception e){ + return null; + } + } + + public String nextWord(){ + while(tokenizer== null || !tokenizer.hasMoreTokens()){ + nextLine(); + //tokenizer=new StringTokenizer(nextLine()); + } + return tokenizer.nextToken(); + } + + public boolean hasNext(){ + try{ + return bReader.ready(); + } + catch(Exception e){ + return false; + } + } + + + +} + +class IO2 { + static InputReader sc=new InputReader(System.in); + + public static String readLine(){ + return sc.nextLine(); + } + public static String readWord(){ + return sc.nextWord(); + } + + public static int readInt(){ + return Integer.parseInt(readWord()); + } + + public static long readLong(){ + return Long.parseLong(readWord()); + } + + public static double readDouble(){ + return Double.parseDouble(readWord()); + } + + public static float readFloat(){ + return Float.parseFloat(readWord()); + } + + public static char readChar(){ + return (char) readInt(); + } + + public static int readIntLine(){ + return Integer.parseInt(readLine().trim()); + } + + public static long readLongLine(){ + return Long.parseLong(readLine().trim()); + } + + public static double readDoubleLine(){ + return Double.parseDouble(readLine().trim()); + } + + public static float readFloatLine(){ + return Float.parseFloat(readLine().trim()); + } + + public static char readCharLine(){ + return (char)readIntLine(); + } + + public static int[] readIntArray(int noOfElements){ + int[] ans=new int[noOfElements]; + for(int x=0;x0)System.out.print(ar[ar.length-1]); + System.out.println(""); + } + public static void printFast(long[][] ar){ + for(int x=0;x Date: Sun, 15 Mar 2020 12:40:20 +0530 Subject: [PATCH 032/276] Create Solution.java --- .../2018_qualification_CubicUFO/Solution.java | 318 ++++++++++++++++++ 1 file changed, 318 insertions(+) create mode 100644 codeBase/CodeJam/2018/2018_qualification_CubicUFO/Solution.java diff --git a/codeBase/CodeJam/2018/2018_qualification_CubicUFO/Solution.java b/codeBase/CodeJam/2018/2018_qualification_CubicUFO/Solution.java new file mode 100644 index 0000000..3d67f7c --- /dev/null +++ b/codeBase/CodeJam/2018/2018_qualification_CubicUFO/Solution.java @@ -0,0 +1,318 @@ +/* + Code written by gihanjayatilaka[at]eng.pdn.ac.lk during Code Jam 2018 + This solution passed all test cases +*/ +import java.util.*; +import java.io.*; + +class InputReader { + BufferedReader bReader; + StringTokenizer tokenizer; + + InputReader(InputStream inputStream){ + InputStreamReader inStreamReader=new InputStreamReader(inputStream); + bReader=new BufferedReader(inStreamReader); + tokenizer=new StringTokenizer(""); + + } + + public String nextLine(){ + try{ + String inLine= bReader.readLine(); + tokenizer= new StringTokenizer(inLine); + return inLine; + + } + catch(Exception e){ + return null; + } + } + + public String nextWord(){ + while(tokenizer== null || !tokenizer.hasMoreTokens()){ + nextLine(); + //tokenizer=new StringTokenizer(nextLine()); + } + return tokenizer.nextToken(); + } + + public boolean hasNext(){ + try{ + return bReader.ready(); + } + catch(Exception e){ + return false; + } + } + + + +} + +class IO2 { + static InputReader sc=new InputReader(System.in); + + public static String readLine(){ + return sc.nextLine(); + } + public static String readWord(){ + return sc.nextWord(); + } + + public static int readInt(){ + return Integer.parseInt(readWord()); + } + + public static long readLong(){ + return Long.parseLong(readWord()); + } + + public static double readDouble(){ + return Double.parseDouble(readWord()); + } + + public static float readFloat(){ + return Float.parseFloat(readWord()); + } + + public static char readChar(){ + return (char) readInt(); + } + + public static int readIntLine(){ + return Integer.parseInt(readLine().trim()); + } + + public static long readLongLine(){ + return Long.parseLong(readLine().trim()); + } + + public static double readDoubleLine(){ + return Double.parseDouble(readLine().trim()); + } + + public static float readFloatLine(){ + return Float.parseFloat(readLine().trim()); + } + + public static char readCharLine(){ + return (char)readIntLine(); + } + + public static int[] readIntArray(int noOfElements){ + int[] ans=new int[noOfElements]; + for(int x=0;x0)System.out.print(ar[ar.length-1]); + System.out.println(""); + } + public static void printFast(long[][] ar){ + for(int x=0;x Date: Sun, 15 Mar 2020 12:41:27 +0530 Subject: [PATCH 033/276] Create Solution.java --- .../2018/2018_1A_BitParty/Solution.java | 342 ++++++++++++++++++ 1 file changed, 342 insertions(+) create mode 100644 codeBase/CodeJam/2018/2018_1A_BitParty/Solution.java diff --git a/codeBase/CodeJam/2018/2018_1A_BitParty/Solution.java b/codeBase/CodeJam/2018/2018_1A_BitParty/Solution.java new file mode 100644 index 0000000..7fd75fb --- /dev/null +++ b/codeBase/CodeJam/2018/2018_1A_BitParty/Solution.java @@ -0,0 +1,342 @@ +/* + Code written by gihanjayatilaka[at]eng.pdn.ac.lk during Code Jam 2018 + This solution passed all test cases +*/ +import java.util.*; +import java.io.*; + +class InputReader { + BufferedReader bReader; + StringTokenizer tokenizer; + + InputReader(InputStream inputStream){ + InputStreamReader inStreamReader=new InputStreamReader(inputStream); + bReader=new BufferedReader(inStreamReader); + tokenizer=new StringTokenizer(""); + + } + + public String nextLine(){ + try{ + String inLine= bReader.readLine(); + tokenizer= new StringTokenizer(inLine); + return inLine; + + } + catch(Exception e){ + return null; + } + } + + public String nextWord(){ + while(tokenizer== null || !tokenizer.hasMoreTokens()){ + nextLine(); + //tokenizer=new StringTokenizer(nextLine()); + } + return tokenizer.nextToken(); + } + + public boolean hasNext(){ + try{ + return bReader.ready(); + } + catch(Exception e){ + return false; + } + } + + + +} + +class IO2 { + static InputReader sc=new InputReader(System.in); + + public static String readLine(){ + return sc.nextLine(); + } + public static String readWord(){ + return sc.nextWord(); + } + + public static int readInt(){ + return Integer.parseInt(readWord()); + } + + public static long readLong(){ + return Long.parseLong(readWord()); + } + + public static double readDouble(){ + return Double.parseDouble(readWord()); + } + + public static float readFloat(){ + return Float.parseFloat(readWord()); + } + + public static char readChar(){ + return (char) readInt(); + } + + public static int readIntLine(){ + return Integer.parseInt(readLine().trim()); + } + + public static long readLongLine(){ + return Long.parseLong(readLine().trim()); + } + + public static double readDoubleLine(){ + return Double.parseDouble(readLine().trim()); + } + + public static float readFloatLine(){ + return Float.parseFloat(readLine().trim()); + } + + public static char readCharLine(){ + return (char)readIntLine(); + } + + public static int[] readIntArray(int noOfElements){ + int[] ans=new int[noOfElements]; + for(int x=0;x0)System.out.print(ar[ar.length-1]); + System.out.println(""); + } + public static void printFast(long[][] ar){ + for(int x=0;xMSP[x][2]){ + processedBits[x]+=Math.min((long)MSP[x][0],(t-(long)MSP[x][2])/(long)MSP[x][1]); + } + } + + Arrays.sort(processedBits); + for(int x=C-1;x>(C-1)-R;x--){ + totalBits+=processedBits[x]; + } + + + + + if(totalBits>=B)return true; + else return false; + } +} From 46adb2bcbce548851dbe53ce801305a2793584d0 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 17 Mar 2020 14:17:19 +0530 Subject: [PATCH 034/276] Update README.md --- README.md | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 3661c43..c2746da 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,7 @@ [![Code Health](https://landscape.io/github/HackersUOP/codeBase/master/landscape.svg?style=flat)](https://landscape.io/github/HackersUOP/codeBase/master) # codeBase -This repository is to store useful algorithms which are used frequently and to study them +This repository is to store useful algorithms which are used frequently and to study them. + +# Google Group + +All information regarding the programming related activities of the deaprtment are archived in [https://groups.google.com/forum/#!forum/cepdnaclk](https://groups.google.com/forum/#!forum/cepdnaclk) From 535e54ba9538eed8cf3af36f017e3047ca5dcd95 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Wed, 18 Mar 2020 10:46:54 +0530 Subject: [PATCH 035/276] Update sol.py --- codeBase/ACES_Coders/v8.0/coders/Essence-scanner/sol.py | 2 ++ 1 file changed, 2 insertions(+) diff --git a/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/sol.py b/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/sol.py index 0382a87..399cb75 100644 --- a/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/sol.py +++ b/codeBase/ACES_Coders/v8.0/coders/Essence-scanner/sol.py @@ -1,3 +1,5 @@ +# Problem setter's code +# Author : harshana.w@eng.pdn.ac.lk def f(X,Y,M,_x,_y): ret = 0 for i in range(len(X)): From 3c4dce42b3206a94d796cf4115645972f6a96221 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sun, 22 Mar 2020 23:16:00 +0530 Subject: [PATCH 036/276] Create Solution.py --- codeBase/KickStart/2020A/Plates/Solution.py | 56 +++++++++++++++++++++ 1 file changed, 56 insertions(+) create mode 100644 codeBase/KickStart/2020A/Plates/Solution.py diff --git a/codeBase/KickStart/2020A/Plates/Solution.py b/codeBase/KickStart/2020A/Plates/Solution.py new file mode 100644 index 0000000..2036492 --- /dev/null +++ b/codeBase/KickStart/2020A/Plates/Solution.py @@ -0,0 +1,56 @@ +''' + gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk 2020-03-22 +''' +ar=None- +dpAns=None +K=None +N=None +P=None + +T = int(input()) + + +def dp(n,pp,deb): + # print("funcIn",deb,n,pp) + if n>=N or pp<=0: + # print(deb+"dpAns[{}][{}]={}".format(n, pp, 0)) + return 0 + if dpAns[n][pp]>-1: + return dpAns[n][pp] + + + + tempAns=dp(n+1,pp,deb+" ") + + for k in range(min(pp,K)): + tempAns=max(tempAns,ar[n][k]+dp(n+1,pp-k-1,deb+" ")) + + dpAns[n][pp]=tempAns + # print(deb+"dpAns[{}][{}]={}".format(n,pp,tempAns)) + + return dpAns[n][pp] +- +for t in range(1, T + 1): + NKP=list(map(int, input().strip().split())) + N=NKP[0] + K=NKP[1] + P=NKP[2] + ar=[] + dpAns=[[-1 for _ in range(P+1)] for n in range(N)] + for i in range(N): + ar.append(list(map(int, input().strip().split()))) + + # print(ar) + + for i in range(N): + for j in range(1,K): + ar[i][j]=ar[i][j-1]+ar[i][j] + # print(ar) + # for i in range(N,-1,-1): + + + + + + + print("Case #{}: {}".format(t,dp(0,P," "))) From d85bba27ddd0ef3aecec420fbcea1f1b5bca9b32 Mon Sep 17 00:00:00 2001 From: dtdinidu7 Date: Sun, 22 Mar 2020 23:38:55 +0530 Subject: [PATCH 037/276] added solution for the workout problem in kickstart 2020 round A --- codeBase/KickStart/2020A/Workout/Solution.py | 25 ++++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 codeBase/KickStart/2020A/Workout/Solution.py diff --git a/codeBase/KickStart/2020A/Workout/Solution.py b/codeBase/KickStart/2020A/Workout/Solution.py new file mode 100644 index 0000000..8013961 --- /dev/null +++ b/codeBase/KickStart/2020A/Workout/Solution.py @@ -0,0 +1,25 @@ +n = int(input()) +import heapq +import math + +for t in range(n): + tmp, k = [int(i) for i in input().split()] + arr = [int(i) for i in input().split()] + count = [1]*(tmp-1) # array to hole the number of new items to be put between these elements + diff = [0]*(tmp-1) # array to hold the initiall differences + Q = [] + + for i in range(tmp-1): + diff[i] = arr[i+1]-arr[i] # saving initial differences + heapq.heappush(Q, (-diff[i], i)) # saving the current difference values + #print(Q) + + for i in range(k): + val, ind = heapq.heappop(Q) # pop the max diff + count[ind] += 1 # add new item between that pair to reduce the difference + val = math.ceil(diff[ind]/count[ind]) # calculate the max difference + heapq.heappush(Q, (-val, ind)) # push new diffrence to the heapq + #print(Q) + val, ind = heapq.heappop(Q) # pop the max difference + print("Case #{}: {}".format(t+1, -val)) + From 26c21f513f4c34406d736a93f48ada7068b0e476 Mon Sep 17 00:00:00 2001 From: dtdinidu7 Date: Sun, 22 Mar 2020 23:46:47 +0530 Subject: [PATCH 038/276] some changes done to workout problem kickstart 2020 Round A --- codeBase/KickStart/2020A/Workout/Solution.py | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/codeBase/KickStart/2020A/Workout/Solution.py b/codeBase/KickStart/2020A/Workout/Solution.py index 8013961..cf14daf 100644 --- a/codeBase/KickStart/2020A/Workout/Solution.py +++ b/codeBase/KickStart/2020A/Workout/Solution.py @@ -1,3 +1,9 @@ +''' + Dinindu Udana + dtdinidu7@gmail.com + 22/03/2020 +''' + n = int(input()) import heapq import math From 11f7430a249245a0705b03907c3456dae3d8ae91 Mon Sep 17 00:00:00 2001 From: dtdinidu7 Date: Mon, 23 Mar 2020 00:10:44 +0530 Subject: [PATCH 039/276] Solution for kickstart 2020 Round A Allocation added --- .../KickStart/2020A/Allocation/Solution.py | 23 +++++++++++++++++++ 1 file changed, 23 insertions(+) create mode 100644 codeBase/KickStart/2020A/Allocation/Solution.py diff --git a/codeBase/KickStart/2020A/Allocation/Solution.py b/codeBase/KickStart/2020A/Allocation/Solution.py new file mode 100644 index 0000000..0c4e9fd --- /dev/null +++ b/codeBase/KickStart/2020A/Allocation/Solution.py @@ -0,0 +1,23 @@ +''' + Dinindu Udana + dtdinidu7@gmail.com + 22/03/2020 +''' + +n = int(input()) + +for t in range(n): + n, c = [int(i) for i in input().split()] + arr = [int(i) for i in input().split()] + + arr.sort() # sort the array + count = 0 + cost = 0 + for i in arr: + cost += i # add current value to count + if cost <= c: + count += 1 # count if cost is less than the given value + else: + break + print("Case #{}: {}".format(t+1, count)) + \ No newline at end of file From 26c738543a65c4b25bc37e709d86526e6c06ad37 Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 24 Mar 2020 22:06:59 +0530 Subject: [PATCH 040/276] Create Readme.md --- codeBase/Algorithms/Other/FFT/Readme.md | 3 +++ 1 file changed, 3 insertions(+) create mode 100644 codeBase/Algorithms/Other/FFT/Readme.md diff --git a/codeBase/Algorithms/Other/FFT/Readme.md b/codeBase/Algorithms/Other/FFT/Readme.md new file mode 100644 index 0000000..6a20626 --- /dev/null +++ b/codeBase/Algorithms/Other/FFT/Readme.md @@ -0,0 +1,3 @@ +# FFT code + +Java : (https://algs4.cs.princeton.edu/99scientific/FFT.java)[https://algs4.cs.princeton.edu/99scientific/FFT.java] From aea68204dcaa00cde4e1abba84a04b95f3b7797a Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 24 Mar 2020 22:07:18 +0530 Subject: [PATCH 041/276] Update Readme.md --- codeBase/Algorithms/Other/FFT/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codeBase/Algorithms/Other/FFT/Readme.md b/codeBase/Algorithms/Other/FFT/Readme.md index 6a20626..31d7bd2 100644 --- a/codeBase/Algorithms/Other/FFT/Readme.md +++ b/codeBase/Algorithms/Other/FFT/Readme.md @@ -1,3 +1,3 @@ # FFT code -Java : (https://algs4.cs.princeton.edu/99scientific/FFT.java)[https://algs4.cs.princeton.edu/99scientific/FFT.java] +Java : [https://algs4.cs.princeton.edu/99scientific/FFT.java](https://algs4.cs.princeton.edu/99scientific/FFT.java) From d0da4058d96a9eb7316c054245d63d29996ca50c Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 24 Mar 2020 22:08:27 +0530 Subject: [PATCH 042/276] Delete New Text Document.txt --- codeBase/Algorithms/Other/New Text Document.txt | 0 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 codeBase/Algorithms/Other/New Text Document.txt diff --git a/codeBase/Algorithms/Other/New Text Document.txt b/codeBase/Algorithms/Other/New Text Document.txt deleted file mode 100644 index e69de29..0000000 From 8dbd6dc1925c63fd7cd8f79ca24f3b56f721cbaf Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Sat, 4 Apr 2020 11:16:51 +0530 Subject: [PATCH 043/276] Create NCR.java --- .../Other/Binomial_Coefficient(nCr)/NCR.java | 30 +++++++++++++++++++ 1 file changed, 30 insertions(+) create mode 100644 codeBase/Algorithms/Other/Binomial_Coefficient(nCr)/NCR.java diff --git a/codeBase/Algorithms/Other/Binomial_Coefficient(nCr)/NCR.java b/codeBase/Algorithms/Other/Binomial_Coefficient(nCr)/NCR.java new file mode 100644 index 0000000..c20478c --- /dev/null +++ b/codeBase/Algorithms/Other/Binomial_Coefficient(nCr)/NCR.java @@ -0,0 +1,30 @@ +/* + gihanjayatilaka[at]end[dot]pdn[dot]ac[dot]lk + 2020-04-04 + + DP (Dynamic progamming) nCr (number of k-combinations) +*/ +import java.util.Scanner; +class NCR{ + static Scanner sc=new Scanner(System.in); + + public static void main(String[] args){ + int N=sc.nextInt(); + int R=sc.nextInt(); + System.out.println(N+"c"+R+" = "+nCr(N,R)); + } + + public static long nCr(int n,int r){ + long[][] c=new long[n+1][r+1]; + int i,j; + for(i=0;i Date: Sat, 4 Apr 2020 11:18:20 +0530 Subject: [PATCH 044/276] Update NCR.java --- codeBase/Algorithms/Other/Binomial_Coefficient(nCr)/NCR.java | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codeBase/Algorithms/Other/Binomial_Coefficient(nCr)/NCR.java b/codeBase/Algorithms/Other/Binomial_Coefficient(nCr)/NCR.java index c20478c..bd04a6f 100644 --- a/codeBase/Algorithms/Other/Binomial_Coefficient(nCr)/NCR.java +++ b/codeBase/Algorithms/Other/Binomial_Coefficient(nCr)/NCR.java @@ -1,5 +1,5 @@ /* - gihanjayatilaka[at]end[dot]pdn[dot]ac[dot]lk + gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk 2020-04-04 DP (Dynamic progamming) nCr (number of k-combinations) From 858422d0c9e5a64b4ef048a381fffe1a031fd13e Mon Sep 17 00:00:00 2001 From: dtdinidu7 Date: Wed, 8 Apr 2020 09:14:48 +0530 Subject: [PATCH 045/276] solution for the Vestigium Problem added --- codeBase/CodeJam/2020/Vestigium/solution.py | 31 +++++++++++++++++++++ 1 file changed, 31 insertions(+) create mode 100644 codeBase/CodeJam/2020/Vestigium/solution.py diff --git a/codeBase/CodeJam/2020/Vestigium/solution.py b/codeBase/CodeJam/2020/Vestigium/solution.py new file mode 100644 index 0000000..40d94bc --- /dev/null +++ b/codeBase/CodeJam/2020/Vestigium/solution.py @@ -0,0 +1,31 @@ +# Name - Thilakarathna W M D U +# Email - dtdinidu7@gmail.com +# Date - 08/04/2020 + +tm = int(input()) # number of test cases + +for t in range(1, tm+1): # looping through test cases + n = int(input()) # size of the matrix + mat = [] + trace = 0 # trace calculate variable + rowCount = 0 + colCount = 0 + for r in range(n): + tmp = [int(i) for i in input().split()] + trace += tmp[r] + rowCheck = set(tmp.copy()) + if len(rowCheck) < n: + rowCount += 1 + mat.append(tmp) + + + for c in range(n): + tmp = [] + for r in range(n): + tmp.append(mat[r][c]) + #print(tmp) + if (len(set(tmp)) < n): + colCount += 1 + + print("Case #{}: {} {} {}".format(t, trace, rowCount, colCount)) + \ No newline at end of file From 75fb0df6a24e9de269458fe8e4a04bbf02144c3e Mon Sep 17 00:00:00 2001 From: dtdinidu7 Date: Wed, 8 Apr 2020 09:19:29 +0530 Subject: [PATCH 046/276] solution for the Nesting Depth problem added --- .../CodeJam/2020/Nesting Depth/solution.py | 24 +++++++++++++++++++ 1 file changed, 24 insertions(+) create mode 100644 codeBase/CodeJam/2020/Nesting Depth/solution.py diff --git a/codeBase/CodeJam/2020/Nesting Depth/solution.py b/codeBase/CodeJam/2020/Nesting Depth/solution.py new file mode 100644 index 0000000..6c399d2 --- /dev/null +++ b/codeBase/CodeJam/2020/Nesting Depth/solution.py @@ -0,0 +1,24 @@ +# Name - Thilakarathna W M D U +# Email - dtdinidu7@gmail.com +# Date - 08/04/2020 + +tm = int(input()) # number of test cases + +for t in range(1, tm+1): + lis = [int(i) for i in list(input())] # taking the input as list + + strg = '('*lis[0] + str(lis[0]) # final string to be displayed + prev = lis[0] # track the previs count + + for i in range(1, len(lis)): # loop through the list + tmp = lis[i]-prev + prev = lis[i] + if (tmp >= 0): + strg += '('*tmp + else: + strg += ')'*(-1*tmp) + strg += str(lis[i]) # adding the changes to the final strings to be displayed + strg += ')'*lis[-1] + print("Case #{}: {}".format(t, strg)) # print the final output + + From acb8617bc7dc17f994f324c4a3f6be1e49669ac5 Mon Sep 17 00:00:00 2001 From: dtdinidu7 Date: Wed, 8 Apr 2020 09:29:03 +0530 Subject: [PATCH 047/276] solution for the Parent Parenting problem added --- .../2020/Parent Partnering/solution.py | 103 ++++++++++++++++++ 1 file changed, 103 insertions(+) create mode 100644 codeBase/CodeJam/2020/Parent Partnering/solution.py diff --git a/codeBase/CodeJam/2020/Parent Partnering/solution.py b/codeBase/CodeJam/2020/Parent Partnering/solution.py new file mode 100644 index 0000000..00e49cc --- /dev/null +++ b/codeBase/CodeJam/2020/Parent Partnering/solution.py @@ -0,0 +1,103 @@ +# Name - Thilakarathna W M D U +# Email - dtdinidu7@gmail.com +# Date - 08/04/2020 + +class Graph(): # this class is used to check whether the graph is bipartite graph you can find this code with an explanation in geeksforgeeks + def __init__(self, V): + self.V = V + self.graph = [[0 for column in range(V)] + for row in range(V)] + + self.cAr = [-1 for i in range(self.V)] # this array is filled with -1 and 2 as the colors + + def isBipUti(self, src): + q = [] + q.append(src) + while q: + u = q.pop() + if self.graph[u][u] == 1: + return False + + for v in range(self.V): + if (self.graph[u][v] == 1 and + self.cAr[v] == -1): + + self.cAr[v] = 1 - self.cAr[u] + q.append(v) + + elif (self.graph[u][v] == 1 and + self.cAr[v] == self.cAr[u]): + return False + return True + + def isBip(self): + self.cAr = [-1 for i in range(self.V)] + for i in range(self.V): + if self.cAr[i] == -1: + if not self.isBipUti(i): + return False + #print(self.cAr) + return True + + +def isOverlap(s1, e1, s2, e2): # check whether two slots are overlap with each other + if (s1 >= e2 and s2 < s1): + return False + if (s2 >= e1 and s1 < s2): + return False + return True + +tm = int(input()) # number of the test cases + +for t in range(1, tm+1): # loop through the test cases + timeLine = [] + for i in range(1445): + timeLine.append([]) + + #print(timeLine) + v = int(input()) + g = Graph(v) + g.graph = [] + #lis = [] + for i in range(v): # adding events to the timeline + g.graph.append([0]*v) + strat, end = [int(i) for i in input().split()] + #lis.append((strat, end)) + timeLine[strat].append(i+1) + timeLine[end].append(-(i+1)) + + dinQ = set() + #print(timeLine) + + for i in timeLine: # checking for overlaps + if len(i) > 0: + for j in i: + if (j > 0): + dinQ.add(j-1) + else: + dinQ.remove((-j)-1) + + if len(dinQ)>2: # if three slots overlap each other then two people can't dewide them among themselves without overlaping + print("Case #{}: IMPOSSIBLE".format(t)) + break + + tmp = list(dinQ) + + for x in range(len(dinQ)): + for y in range(x+1, len(dinQ)): + g.graph[tmp[x]][tmp[y]] = 1 + g.graph[tmp[y]][tmp[x]] = 1 + else: + #print() + #print(g.graph) + + if (g.isBip()): + strg = "" + for i in g.cAr: + if (i == -1): + strg += "C" + else: + strg += "J" + print("Case #{}: {}".format(t, strg)) + else: + print("Case #{}: IMPOSSIBLE".format(t)) \ No newline at end of file From b955ce271ca6e7f8c70c71321ac5d2853275ee7c Mon Sep 17 00:00:00 2001 From: Gihan Chanaka Jayatilaka Date: Tue, 28 Apr 2020 17:20:56 +0530 Subject: [PATCH 048/276] Add files via upload --- .../Solution.java | 142 ++++++++++++++++++ 1 file changed, 142 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Floyd-City-of-Blinding-Lights/Solution.java diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Floyd-City-of-Blinding-Lights/Solution.java b/codeBase/HackerRank/Algorithms/Graph-theory/Floyd-City-of-Blinding-Lights/Solution.java new file mode 100644 index 0000000..ab9f3ea --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Floyd-City-of-Blinding-Lights/Solution.java @@ -0,0 +1,142 @@ +/* + gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk + 2016 + https://www.hackerrank.com/challenges/floyd-city-of-blinding-lights/problem + This submission passed all test cases +*/ +import java.util.Scanner; +public class HackerRank_Floyd { + static Scanner sc=new Scanner(System.in); + + public static void main(String[] args){ + runOnce(); + } + + public static void runOnce(){ + int N=sc.nextInt(); + int M=sc.nextInt(); + + WeightedGraph graph=new WeightedGraph(N); + + for(int x=0;x=minDistances[x]){ + nodeNo=x; + minDistance=minDistances[x]; + } + } + return nodeNo; + } + + public static boolean unvisitedNodesRemain(boolean[] visitedNodes,int[] minDistances){ + boolean ans=false; + for(int x=0;x Date: Tue, 28 Apr 2020 17:25:57 +0530 Subject: [PATCH 049/276] Add files via upload --- .../Solution.java | 2 +- .../Journey-to-the-Moon/Solution.java | 96 +++++++++++++++++++ 2 files changed, 97 insertions(+), 1 deletion(-) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Journey-to-the-Moon/Solution.java diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Floyd-City-of-Blinding-Lights/Solution.java b/codeBase/HackerRank/Algorithms/Graph-theory/Floyd-City-of-Blinding-Lights/Solution.java index ab9f3ea..600bd59 100644 --- a/codeBase/HackerRank/Algorithms/Graph-theory/Floyd-City-of-Blinding-Lights/Solution.java +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Floyd-City-of-Blinding-Lights/Solution.java @@ -5,7 +5,7 @@ This submission passed all test cases */ import java.util.Scanner; -public class HackerRank_Floyd { +public class Solution { static Scanner sc=new Scanner(System.in); public static void main(String[] args){ diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Journey-to-the-Moon/Solution.java b/codeBase/HackerRank/Algorithms/Graph-theory/Journey-to-the-Moon/Solution.java new file mode 100644 index 0000000..929d990 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Journey-to-the-Moon/Solution.java @@ -0,0 +1,96 @@ +/* + gihanjayatilaka[at]eng[dot]pdn[dot]ac[dot]lk + 2017 + https://www.hackerrank.com/challenges/journey-to-the-moon/problem + This submission passed all test cases +*/ +import java.util.*; +class GraphNode{ + ArrayList connectedTo; + + GraphNode(){ + connectedTo=new ArrayList(); + } + + + public void connectTo(int x){ + connectedTo.add(x); + } + +} + + + +class Solution{ + static Scanner sc=new Scanner(System.in); + static boolean[] covered; + static GraphNode[] ar; + static ArrayList road; + static ArrayList sets=new ArrayList(); + public static void main(String[] args){ + int N=sc.nextInt(); + int M=sc.nextInt(); + + covered=new boolean[N]; + ar=new GraphNode[N]; + + for(int z=0;z(); + dfs(x,road); + sets.add(road.size()); + //System.out.println(x+" "+road.size()); + } + } + + long ans=0; + + for(int x=0;x road){ + covered[x]=true; + road.add(x); + for(int y=0;y Date: Tue, 28 Apr 2020 19:07:49 +0530 Subject: [PATCH 050/276] Create solution.py --- .../Graph-theory/Tree Flow/solution.py | 35 +++++++++++++++++++ 1 file changed, 35 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/solution.py new file mode 100644 index 0000000..513d804 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/solution.py @@ -0,0 +1,35 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +from collections import defaultdict +from sys import stdin, stdout +from heapq import heappop, heappush + +def dijkstra(n, graph, u): + distance = [float("inf")] * (n + 1) + distance[u] = 0 + visited = [False] * (n + 1) + visited[u] = True + queue = [(distance[u], u)] + while queue: + d, u = heappop(queue) + for v, w in graph[u]: + if not visited[v] and distance[v] > d + w: + visited[v] = True + distance[v] = d + w + heappush(queue, (distance[v], v)) + return distance[1:] + +def treeFlow(n, tree): + graph = defaultdict(list) + for u, v, w in tree: + graph[u].append((v, w)) + graph[v].append((u, w)) + return min(sum(dijkstra(n, graph, 1)), sum(dijkstra(n, graph, n))) + +if __name__ == '__main__': + n = int(stdin.readline()) + tree = [list(map(int, stdin.readline().rstrip().split())) for _ in range(n - 1)] + result = treeFlow(n, tree) + stdout.write(str(result) + '\n') From fe79bd7aa3c992b68edd16ff7ff62ff3f7db3729 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:17:05 +0530 Subject: [PATCH 051/276] Create README.md --- .../Algorithms/Graph-theory/Tree Flow/README.md | 10 ++++++++++ 1 file changed, 10 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md b/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md new file mode 100644 index 0000000..00ad7e6 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md @@ -0,0 +1,10 @@ +Problem Statement: Recall that a tree is an undirected, connected acyclic graph. We have a weighted tree, ![$T$](https://render.githubusercontent.com/render/math?math=%24T%24), with $n$ vertices; + let $dist_{u, v}$ be the total sum of edge weights on the path between nodes $u$ and $v$. + Let's consider all the matrices, $A_{u, v}$ such that: + + * $A_{u,v} = -A_{u,v}$ + * $0 \leq |A_{u,v}| \leq dist_{v, u}$ + * $\sum_{i=1}^{n} A_{u,i} = 0$ for each $u\neq 1,n$ for each $u\neq 1,n$ and + We consider the total value of matrix $A$ to be: + $\sum_{i=1}^{n} A_{1,i}$ + Calculate and print the maximum total value of for a given tree, $T$. From c8e289923e12ceb1541bfc8787488b3d063c88a2 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:21:40 +0530 Subject: [PATCH 052/276] Update README.md --- .../Graph-theory/Tree Flow/README.md | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md b/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md index 00ad7e6..58d1f51 100644 --- a/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md @@ -1,10 +1,10 @@ -Problem Statement: Recall that a tree is an undirected, connected acyclic graph. We have a weighted tree, ![$T$](https://render.githubusercontent.com/render/math?math=%24T%24), with $n$ vertices; - let $dist_{u, v}$ be the total sum of edge weights on the path between nodes $u$ and $v$. - Let's consider all the matrices, $A_{u, v}$ such that: +**Problem Statement**: Recall that a tree is an undirected, connected acyclic graph. We have a weighted tree, ![$T$](https://render.githubusercontent.com/render/math?math=%24T%24), with ![$n$](https://render.githubusercontent.com/render/math?math=%24n%24) vertices; + let ![$dist_{u, v}$](https://render.githubusercontent.com/render/math?math=%24dist_%7Bu%2C%20v%7D%24) be the total sum of edge weights on the path between nodes ![$u$](https://render.githubusercontent.com/render/math?math=%24u%24) and ![$v$](https://render.githubusercontent.com/render/math?math=%24v%24). + Let's consider all the matrices, ![$A_{u, v}$](https://render.githubusercontent.com/render/math?math=%24A_%7Bu%2C%20v%7D%24) such that: - * $A_{u,v} = -A_{u,v}$ - * $0 \leq |A_{u,v}| \leq dist_{v, u}$ - * $\sum_{i=1}^{n} A_{u,i} = 0$ for each $u\neq 1,n$ for each $u\neq 1,n$ and - We consider the total value of matrix $A$ to be: - $\sum_{i=1}^{n} A_{1,i}$ - Calculate and print the maximum total value of for a given tree, $T$. + * ![$A_{u,v} = -A_{u,v}$](https://render.githubusercontent.com/render/math?math=%24A_%7Bu%2Cv%7D%20%3D%20-A_%7Bu%2Cv%7D%24) + * ![$0 \leq |A_{u,v}| \leq dist_{v, u}$](https://render.githubusercontent.com/render/math?math=%240%20%5Cleq%20%7CA_%7Bu%2Cv%7D%7C%20%5Cleq%20dist_%7Bv%2C%20u%7D%24) + * ![$\sum_{i=1}^{n} A_{u,i} = 0$](https://render.githubusercontent.com/render/math?math=%24%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20A_%7Bu%2Ci%7D%20%3D%200%24) for each ![$u\neq 1,n$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%201%2Cn%24) for each ![$u\neq 1$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%201%24) and ![$u\neq n$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%20n%24) +We consider the total value of matrix $A$ to be: + ![$\sum_{i=1}^{n} A_{1,i}$](https://render.githubusercontent.com/render/math?math=%24%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20A_%7B1%2Ci%7D%24) +Calculate and print the maximum total value of for a given tree, ![$T$](https://render.githubusercontent.com/render/math?math=%24T%24). From 8e5686bc211ba9652f73079f366ad2f1323763b5 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:23:56 +0530 Subject: [PATCH 053/276] Update README.md --- .../HackerRank/Algorithms/Graph-theory/Tree Flow/README.md | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md b/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md index 58d1f51..b775310 100644 --- a/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md @@ -1,10 +1,9 @@ **Problem Statement**: Recall that a tree is an undirected, connected acyclic graph. We have a weighted tree, ![$T$](https://render.githubusercontent.com/render/math?math=%24T%24), with ![$n$](https://render.githubusercontent.com/render/math?math=%24n%24) vertices; let ![$dist_{u, v}$](https://render.githubusercontent.com/render/math?math=%24dist_%7Bu%2C%20v%7D%24) be the total sum of edge weights on the path between nodes ![$u$](https://render.githubusercontent.com/render/math?math=%24u%24) and ![$v$](https://render.githubusercontent.com/render/math?math=%24v%24). Let's consider all the matrices, ![$A_{u, v}$](https://render.githubusercontent.com/render/math?math=%24A_%7Bu%2C%20v%7D%24) such that: - - * ![$A_{u,v} = -A_{u,v}$](https://render.githubusercontent.com/render/math?math=%24A_%7Bu%2Cv%7D%20%3D%20-A_%7Bu%2Cv%7D%24) + ![$A_{u,v} = -A_{u,v}$](https://render.githubusercontent.com/render/math?math=%24A_%7Bu%2Cv%7D%20%3D%20-A_%7Bu%2Cv%7D%24) * ![$0 \leq |A_{u,v}| \leq dist_{v, u}$](https://render.githubusercontent.com/render/math?math=%240%20%5Cleq%20%7CA_%7Bu%2Cv%7D%7C%20%5Cleq%20dist_%7Bv%2C%20u%7D%24) * ![$\sum_{i=1}^{n} A_{u,i} = 0$](https://render.githubusercontent.com/render/math?math=%24%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20A_%7Bu%2Ci%7D%20%3D%200%24) for each ![$u\neq 1,n$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%201%2Cn%24) for each ![$u\neq 1$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%201%24) and ![$u\neq n$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%20n%24) -We consider the total value of matrix $A$ to be: +We consider the total value of matrix ![$A$](https://render.githubusercontent.com/render/math?math=%24A%24) to be: ![$\sum_{i=1}^{n} A_{1,i}$](https://render.githubusercontent.com/render/math?math=%24%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20A_%7B1%2Ci%7D%24) -Calculate and print the maximum total value of for a given tree, ![$T$](https://render.githubusercontent.com/render/math?math=%24T%24). +Calculate and print the maximum total value of ![$A$](https://render.githubusercontent.com/render/math?math=%24A%24) for a given tree, ![$T$](https://render.githubusercontent.com/render/math?math=%24T%24). From a1bdba4c5d812944cd8149d635f842f2af5d0182 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:25:58 +0530 Subject: [PATCH 054/276] Update README.md --- .../Algorithms/Graph-theory/Tree Flow/README.md | 16 +++++++++------- 1 file changed, 9 insertions(+), 7 deletions(-) diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md b/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md index b775310..91eaff6 100644 --- a/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Tree Flow/README.md @@ -1,9 +1,11 @@ -**Problem Statement**: Recall that a tree is an undirected, connected acyclic graph. We have a weighted tree, ![$T$](https://render.githubusercontent.com/render/math?math=%24T%24), with ![$n$](https://render.githubusercontent.com/render/math?math=%24n%24) vertices; - let ![$dist_{u, v}$](https://render.githubusercontent.com/render/math?math=%24dist_%7Bu%2C%20v%7D%24) be the total sum of edge weights on the path between nodes ![$u$](https://render.githubusercontent.com/render/math?math=%24u%24) and ![$v$](https://render.githubusercontent.com/render/math?math=%24v%24). - Let's consider all the matrices, ![$A_{u, v}$](https://render.githubusercontent.com/render/math?math=%24A_%7Bu%2C%20v%7D%24) such that: - ![$A_{u,v} = -A_{u,v}$](https://render.githubusercontent.com/render/math?math=%24A_%7Bu%2Cv%7D%20%3D%20-A_%7Bu%2Cv%7D%24) - * ![$0 \leq |A_{u,v}| \leq dist_{v, u}$](https://render.githubusercontent.com/render/math?math=%240%20%5Cleq%20%7CA_%7Bu%2Cv%7D%7C%20%5Cleq%20dist_%7Bv%2C%20u%7D%24) - * ![$\sum_{i=1}^{n} A_{u,i} = 0$](https://render.githubusercontent.com/render/math?math=%24%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20A_%7Bu%2Ci%7D%20%3D%200%24) for each ![$u\neq 1,n$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%201%2Cn%24) for each ![$u\neq 1$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%201%24) and ![$u\neq n$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%20n%24) +**Problem Statement**: Recall that a tree is an undirected, connected acyclic graph. We have a weighted tree, ![$T$](https://render.githubusercontent.com/render/math?math=%24T%24), with ![$n$](https://render.githubusercontent.com/render/math?math=%24n%24) vertices; let ![$dist_{u, v}$](https://render.githubusercontent.com/render/math?math=%24dist_%7Bu%2C%20v%7D%24) be the total sum of edge weights on the path between nodes ![$u$](https://render.githubusercontent.com/render/math?math=%24u%24) and ![$v$](https://render.githubusercontent.com/render/math?math=%24v%24). + +Let's consider all the matrices, ![$A_{u, v}$](https://render.githubusercontent.com/render/math?math=%24A_%7Bu%2C%20v%7D%24) such that: + +* ![$A_{u,v} = -A_{u,v}$](https://render.githubusercontent.com/render/math?math=%24A_%7Bu%2Cv%7D%20%3D%20-A_%7Bu%2Cv%7D%24) +* ![$0 \leq |A_{u,v}| \leq dist_{v, u}$](https://render.githubusercontent.com/render/math?math=%240%20%5Cleq%20%7CA_%7Bu%2Cv%7D%7C%20%5Cleq%20dist_%7Bv%2C%20u%7D%24) +* ![$\sum_{i=1}^{n} A_{u,i} = 0$](https://render.githubusercontent.com/render/math?math=%24%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20A_%7Bu%2Ci%7D%20%3D%200%24) for each ![$u\neq 1,n$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%201%2Cn%24) for each ![$u\neq 1$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%201%24) and ![$u\neq n$](https://render.githubusercontent.com/render/math?math=%24u%5Cneq%20n%24) + We consider the total value of matrix ![$A$](https://render.githubusercontent.com/render/math?math=%24A%24) to be: - ![$\sum_{i=1}^{n} A_{1,i}$](https://render.githubusercontent.com/render/math?math=%24%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20A_%7B1%2Ci%7D%24) + ![$\sum_{i=1}^{n} A_{1,i}$](https://render.githubusercontent.com/render/math?math=%24%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20A_%7B1%2Ci%7D%24) Calculate and print the maximum total value of ![$A$](https://render.githubusercontent.com/render/math?math=%24A%24) for a given tree, ![$T$](https://render.githubusercontent.com/render/math?math=%24T%24). From e5731727d3ec274c3c18553ee453a8ceaf8eb071 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:33:10 +0530 Subject: [PATCH 055/276] Create solution.py --- .../BFS Shortest Reach/solution.py | 61 +++++++++++++++++++ 1 file changed, 61 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/BFS Shortest Reach/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/BFS Shortest Reach/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/BFS Shortest Reach/solution.py new file mode 100644 index 0000000..9879283 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/BFS Shortest Reach/solution.py @@ -0,0 +1,61 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +from sys import stdin, stdout + +class Node: + def __init__(self, id): + self.id = id + self.adjacent = set() + + +class Graph: + def __init__(self, size, edges): + self.nodes = {} + self.weights = {} + + for i in range(1, size + 1): + self.nodes[i] = Node(i) + + for edge in edges: + u, v, w = edge + self.nodes.get(u).adjacent.add(self.nodes.get(v)) + self.nodes.get(v).adjacent.add(self.nodes.get(u)) + self.weights[(u, v)] = w + self.weights[(v, u)] = self.weights[(u, v)] + + def shortest_path(self, start_id): + queue = [start_id] + distances = [-1] * len(self.nodes) + distances[start_id - 1] = 0 + + while queue: + current_node = queue.pop(0) + for child in self.nodes.get(current_node).adjacent: + if distances[child.id - 1] == -1: + distances[child.id - 1] = distances[current_node - 1] + self.weights[(current_node, child.id)] + queue.append(child.id) + + del distances[start_id - 1] + return distances + + +def bfs(n, m, edges, s): + for i in range(m): + edges[i].append(6) + + graph = Graph(n, edges) + return graph.shortest_path(s) + + +if __name__ == '__main__': + q = int(stdin.readline()) + for q_itr in range(q): + n, m = map(int, stdin.readline().split()) + edges = [] + for _ in range(m): + edges.append(list(map(int, stdin.readline().rstrip().split()))) + s = int(stdin.readline()) + result = bfs(n, m, edges, s) + stdout.write(' '.join(map(str, result)) + '\n') From 860e478ddc53d6be2ca56ba3b192464514821161 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:36:17 +0530 Subject: [PATCH 056/276] Create solution.py --- .../Dijkstra - Shortest Reach 2/solution.py | 48 +++++++++++++++++++ 1 file changed, 48 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Dijkstra - Shortest Reach 2/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Dijkstra - Shortest Reach 2/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Dijkstra - Shortest Reach 2/solution.py new file mode 100644 index 0000000..149af99 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Dijkstra - Shortest Reach 2/solution.py @@ -0,0 +1,48 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +from collections import defaultdict +from heapq import heappop, heappush +from sys import stdin, stdout + +def shortestReach(n, edges, s): + graph = defaultdict(list) + for (u, v), w in edges.items(): + graph[u].append((w, v)) + graph[v].append((w, u)) + + visited = [False for _ in range(n + 1)] + distance = [float("inf") for _ in range(n + 1)] + distance[s] = 0 + minHeap = [(distance[s], s)] + + while minHeap: + d, u = heappop(minHeap) + if visited[u]: + continue + visited[u] = True + for w, v in graph[u]: + if not visited[v] and distance[v] > d + w: + distance[v] = d + w + heappush(minHeap, (distance[v], v)) + del distance[s] + del distance[0] + return [-1 if d == float("inf") else d for d in distance] + +if __name__ == '__main__': + t = int(stdin.readline()) + for t_itr in range(t): + n, m = map(int, stdin.readline().split()) + edges = defaultdict(int) + for _ in range(m): + u, v, w = map(int, stdin.readline().rstrip().split()) + if (u, v) in edges: + edges[(u, v)] = min(edges[(u, v)], w) + elif (v, u) in edges: + edges[(v, u)] = min(edges[(v, u)], w) + else: + edges[(u, v)] = w + s = int(stdin.readline()) + result = shortestReach(n, edges, s) + stdout.write(' '.join(map(str, result)) + '\n') From 9707194540420af07af1c7b305162b6000deb8f7 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:39:27 +0530 Subject: [PATCH 057/276] Create solution.py --- .../solution.py | 51 +++++++++++++++++++ 1 file changed, 51 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Floyd: City of Blinding Lights/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Floyd: City of Blinding Lights/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Floyd: City of Blinding Lights/solution.py new file mode 100644 index 0000000..3125267 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Floyd: City of Blinding Lights/solution.py @@ -0,0 +1,51 @@ +''' + Copyright (C) 2020, Sathira Silva. + + The problem requires Floyd-Warshall all pairs shortest path algorithm which requires O(|V|^3) time, but it can also be solved + by repeatedly applying Dijkstra and saving the answers for queries in a memo (Dynamic Programming). + + Time Complexity: O(|V|^2.log(|V|) + |V||E|) +''' + +from sys import stdin, stdout +from collections import defaultdict +from heapq import heappop, heappush + +def dijkstra(n, source, target): + global graph, dp + if (source, target) in dp: + return dp[(source, target)] + visited = [False] * (n + 1) + distance = [float("inf")] * (n + 1) + distance[source] = 0 + minHeap = [(distance[source], source)] + while minHeap: + d, u = heappop(minHeap) + if u == target: + dp[(source, target)] = d + return d + if visited[u]: + continue + visited[u] = True + for w, v in graph[u]: + if not visited[v] and distance[v] > d + w: + distance[v] = d + w + heappush(minHeap, (distance[v], v)) + dp[(source, target)] = -1 + return -1 + +if __name__ == '__main__': + n, m = map(int, stdin.readline().split()) + dp = dict() + graph = defaultdict(list) + for _ in range(m): + u, v, w = map(int, stdin.readline().split()) + try: + i = next(i for i, (_, to) in enumerate(graph[u]) if to == v) + graph[u][i] = (w, v) + except StopIteration: + graph[u].append((w, v)) + q = int(stdin.readline()) + for q_itr in range(q): + start, end = map(int, stdin.readline().split()) + stdout.write(str(dijkstra(n, start, end)) + '\n') From af449fa11d8a0737189d178b22d0090389666e0b Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:40:51 +0530 Subject: [PATCH 058/276] Delete solution.py --- .../solution.py | 51 ------------------- 1 file changed, 51 deletions(-) delete mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Floyd: City of Blinding Lights/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Floyd: City of Blinding Lights/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Floyd: City of Blinding Lights/solution.py deleted file mode 100644 index 3125267..0000000 --- a/codeBase/HackerRank/Algorithms/Graph-theory/Floyd: City of Blinding Lights/solution.py +++ /dev/null @@ -1,51 +0,0 @@ -''' - Copyright (C) 2020, Sathira Silva. - - The problem requires Floyd-Warshall all pairs shortest path algorithm which requires O(|V|^3) time, but it can also be solved - by repeatedly applying Dijkstra and saving the answers for queries in a memo (Dynamic Programming). - - Time Complexity: O(|V|^2.log(|V|) + |V||E|) -''' - -from sys import stdin, stdout -from collections import defaultdict -from heapq import heappop, heappush - -def dijkstra(n, source, target): - global graph, dp - if (source, target) in dp: - return dp[(source, target)] - visited = [False] * (n + 1) - distance = [float("inf")] * (n + 1) - distance[source] = 0 - minHeap = [(distance[source], source)] - while minHeap: - d, u = heappop(minHeap) - if u == target: - dp[(source, target)] = d - return d - if visited[u]: - continue - visited[u] = True - for w, v in graph[u]: - if not visited[v] and distance[v] > d + w: - distance[v] = d + w - heappush(minHeap, (distance[v], v)) - dp[(source, target)] = -1 - return -1 - -if __name__ == '__main__': - n, m = map(int, stdin.readline().split()) - dp = dict() - graph = defaultdict(list) - for _ in range(m): - u, v, w = map(int, stdin.readline().split()) - try: - i = next(i for i, (_, to) in enumerate(graph[u]) if to == v) - graph[u][i] = (w, v) - except StopIteration: - graph[u].append((w, v)) - q = int(stdin.readline()) - for q_itr in range(q): - start, end = map(int, stdin.readline().split()) - stdout.write(str(dijkstra(n, start, end)) + '\n') From 26619ee5b3514eb473e5338d25e4917940a11698 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:44:23 +0530 Subject: [PATCH 059/276] Create solution.py --- .../Graph-theory/Kth Ancestor/solution.py | 179 ++++++++++++++++++ 1 file changed, 179 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Kth Ancestor/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Kth Ancestor/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Kth Ancestor/solution.py new file mode 100644 index 0000000..1eb5e4d --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Kth Ancestor/solution.py @@ -0,0 +1,179 @@ +''' + Copyright 2020, Sathira Silva. + + Problem Statement: A tree of P nodes is an un-directed connected graph having P - 1 edges. Let us denote R as the root node. If A + is a node such that it is at a distance of L from R, and B is a node such that it is at at distance of L + 1 from R and A is + connected to B, then we call A as the parent of B. + Similarly, if A is at a distance of L from R and B is at a distance of L + K from R and there is a path of length K from A to B, + then we call A as the Kth parent of B. + Susan likes to play with graphs and Tree data structure is one of her favorites. She has designed a problem and wants to know if + anyone can solve it. Sometimes she adds or removes a leaf node. Your task is to figure out the Kth parent of a node at any instant. + + NOTE: + Each node index is any number between 1 and 10^5 i.e., a tree with a single node can have its root indexed as 10^5. + + Approach: This problem is a famous Graph Theory problem and is known as the "Level Ancestor Query problem". (Actually, this's a + variant of the Level Ancestor Problem) Before proceeding any further, understanding the problem and it's solution require + some definitions about Tree Data Structure. + + What is a Tree? As the problem states, a Tree is an un-directed connected graph. Therefore, if the tree has P nodes, + it has P - 1 edges. A rooted tree is a tree which has an arbitrary vertex as the root. + + Depth of a vertex: The depth of a vertex u in a tree T is denoted as depth(u) and it's the level in which it's located, + starting from depth(root) = 0 i.e. depth(u) = #edges on the shortest path from root to u. + + Example: Suppose node 1 is the root. + 1 Node | 1 | 2 | 3 | 4 | 5 | 6 | + / \ Depth| 0 | 1 | 1 | 2 | 2 | 2 | + 2 3 + / \ | + 5 6 4 + + Descendant: A descendant node of a node is any node in the path from that node to the leaf node (including the leaf + node). The immediate descendant of a node is the “child” node. + + Deepest descendant: Let v be a descendant of the vertex u in a tree T and Pv the path from u to v (which is unique). + Then v is the deepest descendant of u if and only if |Pv| >= |Px| for all descendants x of u. + + Height of a vertex: The height of a vertex u in a tree T, denoted as height(u), is the number of levels we have to go + through, if we want to travel from u to one of its deepest descendants (which is a leaf). Note that here, the leaves + are defined to have height 1. i.e. height(u) = #vertices on the path from u to one of its deepest descendants + + Ancestor: An ancestor node of a node is any node in the path from that node to the root node (including the root node). + The immediate ancestor of a node is the "parent" node. + + + The Level Ancestor Problem: Let T = (V, E) be a rooted tree with |V| = n, |E| = n - 1. Pre-process the tree and + answer the level ancestor queries (find the ancestor v of the query node u at depth K + depth(u) / Kth ancestor + / Kth parent). + + LA_T(u, K) = v, if v is the unique ancestor of u with depth(v) = depth(u) - K. + LA_T(u, K) = 0, if such an ancestor doesn’t exist. + + NOTE: LA_T (u, root) = u and LA_T (u, depth(u)) = root ∀u ∈ V. + + + There're three different Algorithms to solve the Level Ancestor Problem: + (1). Table Algorithm (O(n^2) time for preprocessing, O(1) time for answer a query) + (2). Jump - Pointer Algorithm (O(nlogn) time for preprocessing, O(logn) for answer a query) + (3). Ladder Algorithm (O(n) time for preprocessing, O(logn) time for answer a query) + + Table Algorithm is a naive approach using Dynamic Programming to fill a table: table[i][j] which is the ancestor of + node j at depth i therefore the table will be n x n in size. + + But I've used the Jump-Pointer Algorithm for this problem because O(nlogn) + O(logn) time is sufficient to pass the + test cases. The solution is coded in an object-oriented way for the simplicity. + + I have created two separate objects as Graph (for graph traversal) and Tree (for the operations in the tree). After the + edges of the tree are added to the graph, a Breadth-First Search traversal is done on it to build the Tree by traversing + level by level while filling the depth dictionary which contains the depths of each vertex. + + When queries are asked the find method is called from the Tree object to find the kth ancestor if exists, using the + parents dictionary and the pre-calculated depth dictionary. To find the kth ancestor, according to the Jump-Pointer + Algorithm, the smallest possible k value of the node is calculated, which is: floor(log2(k)). Then, we set the ancestor + to be floor(log2(k))th ancestor of the node and parent array of the node to be the parents of the floor(log2(k))th + ancestor. Next, k is reduced by 2^floor(log2(k)). These four steps are repeated until the k value is reached 0 (This + is actually a binary search over the ancestors of the node). + + Time Complexity: O((n + 1)log(n)) in total. +''' + +import math +from collections import defaultdict +from sys import stdin, stdout + + +class Graph: + def __init__(self): + self.edges = defaultdict(list) + self.root = None + + def add(self, node, parent): + # Node is the root of the tree + if parent == 0: + self.root = node + self.edges[node] = [] + else: + self.edges[parent].append(node) + self.edges[node] = [] + + # Traverse the tree level by level to find the depths of each node with respect to the root of the node. + def bfs(self, tree): + tree.add(self.root, 0) + visited = {x: False for x in self.edges.keys()} + queue = [self.root] + while queue: + u = queue.pop(0) + for v in self.edges[u]: + if not visited[v]: + tree.add(v, u) + queue.append(v) + visited[u] = True + + +class Tree: + def __init__(self): + self.root = None + self.parents = defaultdict(list) + self.depth = defaultdict(int) + + def add(self, node, parent): + # Node is the root of the tree + if parent == 0: + self.root = node + # Initialize the depth of the root vertex as 0. + self.depth[node] = 0 + return + self.parents[node].append(parent) + ancestors = self.parents[parent] + depth = 0 + # Find the depth of the node using the depths of its parents (ancestors). + while len(ancestors) > depth: + p = ancestors[depth] + self.parents[node].append(p) + ancestors = self.parents[p] + depth += 1 + self.depth[node] = self.depth[parent] + 1 + + def find(self, node, kthAncestor): + # Node is the root of the tree or it doesn't exist in the current tree. + if not self.parents[node]: + return 0 + # Can't find the ancestor of the node because level of the ancestor is less than 0 (below the root). + if kthAncestor > self.depth[node]: + return 0 + ancestor = 0 + ancestors = self.parents[node] + # Binary Search + Jump-Pointer Algorithm + while kthAncestor > 0: + k = int(math.floor(math.log(kthAncestor, 2))) + ancestor = ancestors[k] + ancestors = self.parents[ancestor] + kthAncestor = kthAncestor - (1 << k) + return ancestor + + def delete(self, node): + if node == self.root: + self.root = None + del self.parents[node] + + +T = int(stdin.readline()) +for _0 in range(T): + P = int(stdin.readline()) + t = Tree() + g = Graph() + for _1 in range(P): + x, y = list(map(int, stdin.readline().split())) + g.add(x, y) + # Preprocessing + g.bfs(t) + queries = int(stdin.readline()) + for _2 in range(queries): + query = list(map(int, stdin.readline().split())) + if query[0] == 0: + t.add(query[2], query[1]) + if query[0] == 1: + t.delete(query[1]) + if query[0] == 2: + stdout.write(str(t.find(query[1], query[2])) + '\n') From 6070b69d2967f770552502dbcda591a1b44bf7f6 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:46:27 +0530 Subject: [PATCH 060/276] Update solution.py --- .../Graph-theory/Kth Ancestor/solution.py | 20 +++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Kth Ancestor/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Kth Ancestor/solution.py index 1eb5e4d..d92e635 100644 --- a/codeBase/HackerRank/Algorithms/Graph-theory/Kth Ancestor/solution.py +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Kth Ancestor/solution.py @@ -159,21 +159,21 @@ def delete(self, node): T = int(stdin.readline()) -for _0 in range(T): +for _ in range(T): P = int(stdin.readline()) - t = Tree() - g = Graph() - for _1 in range(P): + tree = Tree() + graph = Graph() + for __ in range(P): x, y = list(map(int, stdin.readline().split())) - g.add(x, y) + graph.add(x, y) # Preprocessing - g.bfs(t) + graph.bfs(tree) queries = int(stdin.readline()) - for _2 in range(queries): + for ___ in range(queries): query = list(map(int, stdin.readline().split())) if query[0] == 0: - t.add(query[2], query[1]) + tree.add(query[2], query[1]) if query[0] == 1: - t.delete(query[1]) + tree.delete(query[1]) if query[0] == 2: - stdout.write(str(t.find(query[1], query[2])) + '\n') + stdout.write(str(tree.find(query[1], query[2])) + '\n') From 974e8e30cd9139b884a4ebc3cfafa1a8a835f75c Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:50:31 +0530 Subject: [PATCH 061/276] Create solution.py --- .../solution.py | 47 +++++++++++++++++++ 1 file changed, 47 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland (Prim's Algorithm)/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland (Prim's Algorithm)/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland (Prim's Algorithm)/solution.py new file mode 100644 index 0000000..9d24835 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland (Prim's Algorithm)/solution.py @@ -0,0 +1,47 @@ +from collections import defaultdict +from heapq import heappop, heappush + + +def dfs(n, source, tree, ans, p=0): + total = 1 + for v, w in tree[source]: + if v != p: + children = dfs(n, v, tree, ans, source) + ans[w] += (n - children) * children + total += children + return total + + +def roadsInHackerland(n, roads): + # Prim's Algorithm to find the MST + hackerland = defaultdict(list) + parent = dict() + for u, v, w in roads: + hackerland[u].append((w, v)) + hackerland[v].append((w, u)) + s = 0 + weight = [float("inf")] * (n + 1) + visited = [False] * (n + 1) + weight[0] = 0 + weight[1] = 0 + minHeap = [(weight[1], 1)] + while minHeap: + _, u = heappop(minHeap) + if visited[u]: + continue + visited[u] = True + for w, v in hackerland[u]: + if not visited[v] and w < weight[v]: + weight[v] = w + parent[v] = (u, weight[v]) + heappush(minHeap, (weight[v], v)) + mst = defaultdict(list) + for u, (v, w) in parent.items(): + mst[u].append((v, w)) + mst[v].append((u, w)) + # Total degree of vertices = 2 * Number of Edges + ans = [0] * 2 * len(roads) + dfs(n, 1, mst, ans) + for i in range(len(ans)): + s += ans[i] * (1 << i) + return bin(s)[2:] From dc33e1f0debfe0b37d4e3b7175a2148a0fb1978d Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:53:13 +0530 Subject: [PATCH 062/276] Delete solution.py --- .../solution.py | 47 ------------------- 1 file changed, 47 deletions(-) delete mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland (Prim's Algorithm)/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland (Prim's Algorithm)/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland (Prim's Algorithm)/solution.py deleted file mode 100644 index 9d24835..0000000 --- a/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland (Prim's Algorithm)/solution.py +++ /dev/null @@ -1,47 +0,0 @@ -from collections import defaultdict -from heapq import heappop, heappush - - -def dfs(n, source, tree, ans, p=0): - total = 1 - for v, w in tree[source]: - if v != p: - children = dfs(n, v, tree, ans, source) - ans[w] += (n - children) * children - total += children - return total - - -def roadsInHackerland(n, roads): - # Prim's Algorithm to find the MST - hackerland = defaultdict(list) - parent = dict() - for u, v, w in roads: - hackerland[u].append((w, v)) - hackerland[v].append((w, u)) - s = 0 - weight = [float("inf")] * (n + 1) - visited = [False] * (n + 1) - weight[0] = 0 - weight[1] = 0 - minHeap = [(weight[1], 1)] - while minHeap: - _, u = heappop(minHeap) - if visited[u]: - continue - visited[u] = True - for w, v in hackerland[u]: - if not visited[v] and w < weight[v]: - weight[v] = w - parent[v] = (u, weight[v]) - heappush(minHeap, (weight[v], v)) - mst = defaultdict(list) - for u, (v, w) in parent.items(): - mst[u].append((v, w)) - mst[v].append((u, w)) - # Total degree of vertices = 2 * Number of Edges - ans = [0] * 2 * len(roads) - dfs(n, 1, mst, ans) - for i in range(len(ans)): - s += ans[i] * (1 << i) - return bin(s)[2:] From c8258e3a52c4492f19355565ca9c5d9fd7b0de90 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:54:17 +0530 Subject: [PATCH 063/276] Create solution(PrimsAlgorithm).py --- .../solution(PrimsAlgorithm).py | 58 +++++++++++++++++++ 1 file changed, 58 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland/solution(PrimsAlgorithm).py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland/solution(PrimsAlgorithm).py b/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland/solution(PrimsAlgorithm).py new file mode 100644 index 0000000..36058a4 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland/solution(PrimsAlgorithm).py @@ -0,0 +1,58 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +from collections import defaultdict +from heapq import heappop, heappush + + +def dfs(n, source, tree, ans, p=0): + total = 1 + for v, w in tree[source]: + if v != p: + children = dfs(n, v, tree, ans, source) + ans[w] += (n - children) * children + total += children + return total + + +def roadsInHackerland(n, roads): + # Prim's Algorithm to find the MST + hackerland = defaultdict(list) + parent = dict() + for u, v, w in roads: + hackerland[u].append((w, v)) + hackerland[v].append((w, u)) + + s = 0 + + weight = [float("inf")] * (n + 1) + visited = [False] * (n + 1) + weight[0] = 0 + weight[1] = 0 + minHeap = [(weight[1], 1)] + while minHeap: + _, u = heappop(minHeap) + if visited[u]: + continue + visited[u] = True + for w, v in hackerland[u]: + if not visited[v] and w < weight[v]: + weight[v] = w + parent[v] = (u, weight[v]) + heappush(minHeap, (weight[v], v)) + + mst = defaultdict(list) + + for u, (v, w) in parent.items(): + mst[u].append((v, w)) + mst[v].append((u, w)) + + # Total degree of vertices = 2 * Number of Edges + ans = [0] * 2 * len(roads) + + dfs(n, 1, mst, ans) + for i in range(len(ans)): + s += ans[i] * (1 << i) + + return bin(s)[2:] From 0ffc75c1ef84982e2de8606f03d090022ad48d02 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:56:17 +0530 Subject: [PATCH 064/276] Create solution(KruskalsAlgorithm).py --- .../solution(KruskalsAlgorithm).py | 61 +++++++++++++++++++ 1 file changed, 61 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland/solution(KruskalsAlgorithm).py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland/solution(KruskalsAlgorithm).py b/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland/solution(KruskalsAlgorithm).py new file mode 100644 index 0000000..7007cdc --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Roads In Hackerland/solution(KruskalsAlgorithm).py @@ -0,0 +1,61 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +from sys import stdin, stdout +from collections import defaultdict + + +def dfs(n, source, tree, ans, p=0): + total = 1 + for v, w in tree[source]: + if v != p: + children = dfs(n, v, tree, ans, source) + ans[w] += (n - children) * children + total += children + return total + +# Find the parent vertex of u + + +def find_set(u, inSet): + # Current parent of u = inSet[u] + while u != inSet[inSet[u]]: + # Set parent of u to parent of parent of u + inSet[u] = inSet[inSet[u]] + # Set u to parent of u + u = inSet[u] + return u + + +def union(u, v, s): + # Set parent of parent of v to parent of u + s[find_set(v, s)] = find_set(u, s) + + +def roadsInHackerland(n, roads): + # Kruskal's Algorithm to find the MST + tree = defaultdict(list) + parent = [i for i in range(n)] # Indices of vertices + roads.sort(key=lambda x: x[2]) + for u, v, w in roads: + if find_set(u, parent) != find_set(v, parent): + union(u, v, parent) + tree[u].append((v, w)) + tree[v].append((u, w)) + ans = [0] * 2 * len(roads) # Total number of degrees of vertices + dfs(n, 0, tree, ans) + s = 0 + for i in range(len(ans)): + s += ans[i] * (1 << i) + return bin(s)[2:] + + +if __name__ == '__main__': + n, m = map(int, stdin.readline().split()) + roads = [] + for _ in range(m): + u, v, w = map(int, stdin.readline().rstrip().split()) + roads.append([u - 1, v - 1, w]) + result = roadsInHackerland(n, roads) + stdout.write(result + '\n') From fd5eb8e3fc57e5f856a122762c662bacf1ba6f0c Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 19:59:08 +0530 Subject: [PATCH 065/276] Create solution.py --- .../Synchronous Shopping/solution.py | 45 +++++++++++++++++++ 1 file changed, 45 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Synchronous Shopping/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Synchronous Shopping/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Synchronous Shopping/solution.py new file mode 100644 index 0000000..4d3502d --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Synchronous Shopping/solution.py @@ -0,0 +1,45 @@ +from collections import defaultdict +from heapq import heappop, heappush +from sys import stdin, stdout + + +def search(n, k, centers, roads): + city = defaultdict(list) + for a, b, c in roads: + city[a].append((b, c)) + city[b].append((a, c)) + k = (1 << k) - 1 + queue = [[] for _ in range(k + 1)] + visited = [set() for _ in range(k + 1)] + last_cat = {0: 0} + heappush(queue[centers[0]], (0, 1)) + time = float("inf") + for i in range(k + 1): + while queue[i]: + d, u = heappop(queue[i]) + if u == n: + for fishes, dist in last_cat.items(): + if i | fishes == k: + time = min(time, max(dist, d)) + last_cat[i] = min(d, last_cat.get(i, float("inf"))) + if u in visited[i]: + continue + visited[i].add(u) + for v, w in city[u]: + fishes = centers[v - 1] | i + if v not in visited[fishes]: + heappush(queue[fishes], (w + d, v)) + return time + + +if __name__ == '__main__': + n, m, k = map(int, stdin.readline().rstrip().split()) + centers = [] + for _ in range(n): + centers_item = sum(map(lambda x: 1 << (x - 1), map(int, stdin.readline().split()[1:]))) + centers.append(centers_item) + roads = [] + for _ in range(m): + roads.append(list(map(int, stdin.readline().rstrip().split()))) + res = search(n, k, centers, roads) + stdout.write(str(res) + '\n') From 224a9a03e2e31d91fbc68e4b131cf4db9d4ef547 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:01:25 +0530 Subject: [PATCH 066/276] Create solution.py --- .../Graph-theory/Kruskal (MST)/solution.py | 23 +++++++++++++++++++ 1 file changed, 23 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Kruskal (MST)/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Kruskal (MST)/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Kruskal (MST)/solution.py new file mode 100644 index 0000000..fd3e973 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Kruskal (MST)/solution.py @@ -0,0 +1,23 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +def find_set(u, parent): + while u != parent[parent[u]]: + parent[u] = parent[parent[u]] + u = parent[u] + return u + +def union(u, v, parent): + parent[find_set(v, parent)] = find_set(u, parent) + +def kruskal(n, edges): + parent = [i for i in range(n)] + edges.sort(key = lambda x:x[2]) + s = 0 + for u, v, w in edges: + if find_set(u, parent) != find_set(v, parent): + union(u, v, parent) + s += w + + return str(s) From e2b47997a5b08c3adddfaa7efb7166cdb9583aad Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:03:09 +0530 Subject: [PATCH 067/276] Create solution.py --- .../Prims (MST): Special Subtree/solution.py | 28 +++++++++++++++++++ 1 file changed, 28 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Prims (MST): Special Subtree/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Prims (MST): Special Subtree/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Prims (MST): Special Subtree/solution.py new file mode 100644 index 0000000..e9d65be --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Prims (MST): Special Subtree/solution.py @@ -0,0 +1,28 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +from collections import defaultdict +from heapq import heappop, heappush + +def prim(n, edges, start): + graph = defaultdict(list) + for u, v, w in edges: + graph[u].append((w, v)) + graph[v].append((w, u)) + + weight = [float("inf")] * (n + 1) + visited = [False] * (n + 1) + weight[0] = 0 + weight[start] = 0 + minHeap = [(weight[start], start)] + while minHeap: + _, u = heappop(minHeap) + if visited[u]: + continue + visited[u] = True + for w, v in graph[u]: + if not visited[v] and w < weight[v]: + weight[v] = w + heappush(minHeap, (weight[v], v)) + return sum(weight) From a84b5987ffe4b0d4e430fc3ba5e68dbb95f0df70 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:08:00 +0530 Subject: [PATCH 068/276] Create solution.py --- .../Graph-theory/Subset Component/solution.py | 29 +++++++++++++++++++ 1 file changed, 29 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Subset Component/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Subset Component/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Subset Component/solution.py new file mode 100644 index 0000000..47cade1 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Subset Component/solution.py @@ -0,0 +1,29 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +from sys import stdin, stdout + +def findConnectedComponents(i, previous_components, d): + if i == len(d): + return len(previous_components) + count_cc = findConnectedComponents(i + 1, previous_components, d) + currentComponent = d[i] + components = [] + for cc in previous_components: + if cc & currentComponent: + currentComponent |= cc + else: + components.append(cc) + if currentComponent: + components.append(currentComponent) + count_cc += findConnectedComponents(i + 1, components, d) + return count_cc + + +if __name__ == '__main__': + d_count = int(stdin.readline()) + d = list(map(int, stdin.readline().rstrip().split())) + singletons = [1 << j for j in range(64)] + components = findConnectedComponents(0, singletons, d) + stdout.write(str(components) + '\n') From e1b42f9c415645ef0c2a3b9666c1bbcf7ef9f180 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:13:02 +0530 Subject: [PATCH 069/276] Create solution.py --- .../Minimum Penalty Path/solution.py | 26 +++++++++++++++++++ 1 file changed, 26 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Minimum Penalty Path/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Minimum Penalty Path/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Minimum Penalty Path/solution.py new file mode 100644 index 0000000..1054476 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Minimum Penalty Path/solution.py @@ -0,0 +1,26 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + + +from collections import defaultdict +from heapq import heappop, heappush + +def beautifulPath(edges, A, B): + graph = defaultdict(list) + for u, v, w in edges: + graph[u].append((w, v)) + graph[v].append((w, u)) + visited = [[False] * 1024 for _ in range(n + 1)] + visited[A][0] = True + minHeap = [(0, A)] + while minHeap: + d, u = heappop(minHeap) + for w, v in graph[u]: + if not visited[v][d | w]: + visited[v][d | w] = True + heappush(minHeap, (d | w, v)) + for i in range(1024): + if visited[B][i]: + return i + return -1 From 3bb7950d321def6db75a76a83bf6c8452ea1e9b2 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:16:59 +0530 Subject: [PATCH 070/276] Create solution.py --- .../Roads and Libraries/solution.py | 51 +++++++++++++++++++ 1 file changed, 51 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Roads and Libraries/solution.py diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Roads and Libraries/solution.py b/codeBase/HackerRank/Algorithms/Graph-theory/Roads and Libraries/solution.py new file mode 100644 index 0000000..1a06cf8 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Roads and Libraries/solution.py @@ -0,0 +1,51 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +class Node: + def __init__(self, id): + self.id = id + self.adjacent = set() + + def __eq__(self, node): + return self.id == node.id + + def __hash__(self): + return hash(self.id) + +class Graph: + def __init__(self, size, edges): + self.nodes = {} + + for i in range(1, size + 1): + self.nodes[i] = Node(i) + + for edge in edges: + u, v = edge + self.nodes.get(u).adjacent.add(self.nodes.get(v)) + self.nodes.get(v).adjacent.add(self.nodes.get(u)) + + def find_clusters(self, node, visited, count): + visited[node] = True + for child in self.nodes.get(node).adjacent: + if not visited[child.id]: + count = 1 + self.find_clusters(child.id, visited, count) + return count + + def rebuild_hackerland_optimally(self, c_lib, c_road): + result = 0 + visited = [False] * (len(self.nodes) + 1) + for node in self.nodes: + if not visited[node]: + cluster_size = self.find_clusters(node, visited, 1) + print(cluster_size) + result += c_lib + if c_lib > c_road: + result += (cluster_size - 1) * c_road + else: + result += (cluster_size - 1) * c_lib + return result + +def roadsAndLibraries(n, c_lib, c_road, cities): + hackerland = Graph(n, cities) + return hackerland.rebuild_hackerland_optimally(c_lib, c_road) From 81458ba168279748fa0e63610c622a739feb3abf Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:19:41 +0530 Subject: [PATCH 071/276] Create solution.cpp --- .../Tower Breakers Revisited/solution.cpp | 36 +++++++++++++++++++ 1 file changed, 36 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Revisited/solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Revisited/solution.cpp b/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Revisited/solution.cpp new file mode 100644 index 0000000..14c487c --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Revisited/solution.cpp @@ -0,0 +1,36 @@ +''' + Problem Statement: https://www.hackerrank.com/challenges/tower-breakers-revisited-1/problem + + Approach: In this problem, Grundy Number for each pile is the number of prime factors with multiplicity included. + More about Grundy Numbers: https://www.hackerrank.com/topics/game-theory-and-grundy-numbers + http://web.mit.edu/sp.268/www/nim.pdf +''' + +#include + +using namespace std; + +int primeFactors(int n) { + int count = 0; + while (n % 2 == 0) { + n = n / 2; + count += 1; + } + for (int i = 3; i <= sqrt(n); i += 2) { + while (n % i == 0) { + n = n / i; + count += 1; + } + } + if (n > 2) + count += 1; + return count; +} + +int towerBreakers(vector arr) { + int grundy = 0; + for (int i = 0; i < arr.size(); i++) { + grundy ^= primeFactors(arr[i]); + } + return grundy? 1 : 2; +} From e3348577843b5b9dd69c0e1c3e1902193211c41b Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:22:00 +0530 Subject: [PATCH 072/276] Create Solution.cpp --- .../Red John Is Back/Solution.cpp | 48 +++++++++++++++++++ 1 file changed, 48 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Dynamic Programming/Red John Is Back/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Dynamic Programming/Red John Is Back/Solution.cpp b/codeBase/HackerRank/Algorithms/Dynamic Programming/Red John Is Back/Solution.cpp new file mode 100644 index 0000000..e8c344b --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Dynamic Programming/Red John Is Back/Solution.cpp @@ -0,0 +1,48 @@ +/* + Problem Statement: https://www.hackerrank.com/challenges/red-john-is-back/problem + + Approach: This problem can be solved using Dynamic Programming and Sieve of Eratosthenes (Or any other algorithm for sieving + primes) easily. First we find the number of ways of covering a 4 x n wall with 4 x 1 and 1 x 4 bricks. Then we count the number of + primes less than or equal to that number. + + (01). Subproblem: dp[i] + (How many ways are there to cover a 4 x i wall) + (02). Guess: dp[i - 1] and dp[i - 4] + (Should we cover the remaining are with a 4 x 1 brick or a 1 x 4 brick?) + (03). Recurrence: dp[i] = dp[i - 1] + dp[i - 4] + (Base Cases: dp[0] = dp[1] = dp[2] = dp[3] = 1) + (04). Toplogical Order: i from 4 to n + (05). Original Problem: dp[n] +*/ + +#include + +using namespace std; + +int dp[61]; +bool prime[10000001]; + +void sieveOfEratosthenes(int n) +{ + memset(prime, true, sizeof(prime)); + for (int p = 2; p * p <= n; p++) + { + if (prime[p] == true) + { + for (int i = p * p; i <= n; i += p) + prime[i] = false; + } + } +} + +int redJohn(int n) { + dp[0] = dp[1] = dp[2] = dp[3] = 1; + for (int i = 4; i <= n; i++) + dp[i] = dp[i - 1] + dp[i - 4]; + int count = 0; + for (int i = 2; i <= dp[n]; i++) { + if (prime[i]) + count++; + } + return count; +} From 5dd828f615b5cb43678f498d34a8a6711e0bbcf3 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:22:58 +0530 Subject: [PATCH 073/276] Create solution.py --- .../Dynamic Programming/Knapsack/solution.py | 32 +++++++++++++++++++ 1 file changed, 32 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Dynamic Programming/Knapsack/solution.py diff --git a/codeBase/HackerRank/Algorithms/Dynamic Programming/Knapsack/solution.py b/codeBase/HackerRank/Algorithms/Dynamic Programming/Knapsack/solution.py new file mode 100644 index 0000000..35c633f --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Dynamic Programming/Knapsack/solution.py @@ -0,0 +1,32 @@ +''' + Copyright (C) 2020, Sathira Silva. + + Problem Statement: Given an array of integers and a target sum, determine the sum nearest to but not exceeding + the target that can be created. To create the sum, use any element of your array zero or more times. + + Approach: This's a variation of the 0-1 knapsack problem which can be solved easily using Dynamic Programming. Given the capacity of + the knapsack, we have to pack items from the given list of items (and there're infinitely many items from each item) + such that the total size doesn't exceed the capacity of the knapsack. + + (01). Subproblem: dp[capacity] for all 0 < capacity <= k + Maximum capacity that can be packed from the items such that the total capacity doesn't exceed i. + (02). Guessing: is item i included or not? + (03). Recurrence: dp[capacity] = max(dp[capacity], items[i] + dp[capacity - items[i]]) + (04). Toplogical order: for capacity -> 0,...,k + for item -> 0,...,n - 1 + (05). Original problem: dp[k] + + Time Complexity: O(n(k + 1)) ~= O(mk) ; m <= n +''' + +def unboundedKnapsack(k, items): + # Since the same item can be repeatedly appear in the given list, extract only the unique items. This makes the algorithm + # more efficient. + items = list(set(items)) + n = len(items) + dp = [0] * (k + 1) + for capacity in range(k + 1): + for i in range(n): + if items[i] <= capacity: + dp[capacity] = max(dp[capacity], items[i] + dp[capacity - items[i]]) + return dp[k] From dc394b50a0c2e20a76b386abe9327a3d4210801e Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:24:29 +0530 Subject: [PATCH 074/276] Create Solution.cpp --- .../Dynamic Programming/Cut Tree/Solution.cpp | 46 +++++++++++++++++++ 1 file changed, 46 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Dynamic Programming/Cut Tree/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Dynamic Programming/Cut Tree/Solution.cpp b/codeBase/HackerRank/Algorithms/Dynamic Programming/Cut Tree/Solution.cpp new file mode 100644 index 0000000..7dd2a7b --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Dynamic Programming/Cut Tree/Solution.cpp @@ -0,0 +1,46 @@ +/* + Problem Statement: Given a tree T with n nodes, how many subtrees (T') of T have at most K edges connected to (T - T')? + + Approach: The idea is to depth first traverse the tree and count the subtrees having number of edges connected to the complement + of the current subtree upto k edges. +*/ + +#include + +using namespace std; + +vector split_string(string); + +vector tree[51]; +long long dp[51][51]; +int k; + +void dfs(int u, int parent = -1) { + for (int v: tree[u]) { + if (v == parent) + continue; + dfs(v, u); + for (int j = k; j > 0; j--) { + for (int x = j; x > 0; x--) + dp[u][j] += dp[u][j - x] * dp[v][x]; + dp[u][j] += dp[u][j - 1]; + } + } + return; +} + +long long cutTree(int n, vector> edges) { + for (auto e: edges) { + tree[e[0]].push_back(e[1]); + tree[e[1]].push_back(e[0]); + } + long long subtrees = 0; + memset(dp, 0, sizeof(dp)); + for(int u = 1; u <= n; u++) + dp[u][0] = 1; // Base case + dfs(1); + for(int i = 1; i <= n; i++) + for(int j = 0; j < k; j++) + subtrees += dp[i][j]; + return subtrees + dp[1][k] + 1; +} From 4762f6e9f8826d22da071e3efc1810be6a36bcb3 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:25:48 +0530 Subject: [PATCH 075/276] Create solution.py --- .../The Coin Change Problem/solution.py | 32 +++++++++++++++++++ 1 file changed, 32 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Dynamic Programming/The Coin Change Problem/solution.py diff --git a/codeBase/HackerRank/Algorithms/Dynamic Programming/The Coin Change Problem/solution.py b/codeBase/HackerRank/Algorithms/Dynamic Programming/The Coin Change Problem/solution.py new file mode 100644 index 0000000..21ad5b1 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Dynamic Programming/The Coin Change Problem/solution.py @@ -0,0 +1,32 @@ +''' + Copyright (C) 2020, Sathira Silva + + Problem Statement: You are working at the cash counter at a fun-fair, and you have different types of coins available to you in + infinite quantities. The value of each coin is already given. Can you determine the number of ways of making change for a particular + number of units using the given types of coins? + + Approach: This another variant of 0-1 Knapsack problem. Given different types of coins in infinite amounts, we have to find how many + number of subsets of coins are there such that the sum of the values of the coins in the subset is equal to the given amount. This + can be easily solved by Dynamic Programming. + + (01). Subproblem: dp[change] + Number of ways of making change for 'change' units. + (02). Guessing: Include the current coin or not? + (03). Recurrence: dp[change] += dp[change - coin] for all changes that can be made upto n and values of the coins. + dp[change] is dp[change] + number of ways of making change when coin 'coin' is included(for change-coin units). + Base Case: dp[0] - Number of ways of making change for 0 units is 1 i.e. doing nothing. + (04). Topological Order: for coins, the order doesn't matter. for change in coin,...,(n + 1) + (05). Original Problem: dp[n] + Number of ways of making change for n units. + + Time Complexity: Less than O(nm); m = number of different coin types +''' + +def getWays(n, coins): + dp = [0] * (n + 1) + # Base Case: Number of ways of making change for 0 units is 1 i.e. doing nothing. + dp[0] = 1 + for coin in coins: + for change in range(coin, n + 1): + dp[change] += dp[change - coin] + return dp[n] From e7f1ea279aa255707d6053aedc7e6a70de01a1c7 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:27:10 +0530 Subject: [PATCH 076/276] Create solution.py --- .../Sherlock And Cost/solution.py | 31 +++++++++++++++++++ 1 file changed, 31 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Dynamic Programming/Sherlock And Cost/solution.py diff --git a/codeBase/HackerRank/Algorithms/Dynamic Programming/Sherlock And Cost/solution.py b/codeBase/HackerRank/Algorithms/Dynamic Programming/Sherlock And Cost/solution.py new file mode 100644 index 0000000..e9bf334 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Dynamic Programming/Sherlock And Cost/solution.py @@ -0,0 +1,31 @@ + +''' + Copyright (C) 2020, Sathira Silva. + + Problem Statement: In this challenge, you will be given an array B and must determine an array A. There is a special rule: For all i, + A[i] <= B[i]. That is, A[i] can be any number you choose such that 1 <= A[i] <= B[i]. Your task is to select a series of A[i] given B[i] + such that the sum of the absolute difference of consecutive pairs of A is maximized. This will be the array's cost, and will be + represented by the variable S below. + + S = Sum(|A[i] - A[i - 1]) from i = 2 to N + + Approach: To obtain the maximum sum S, there're only two possibilities: A[i] is 1 or B[i]. We don't have to check any number between + 1 and B[i]. Therefore, this's sort of a 0-1 Knapsack problem. It can be solved by 4 lines of code using Dynamic Programming. + + (01). Subproblem: Optimal sum of the absolute difference of consecutive pairs of prefix A[:i + 1]. + max(dp) + Base Case: Initially, dp = [0, 0]. Because When A is empty, maximum sum is 0. + (02). Guessing: Is the maximum sum obtained when A[i] = 1 or A[i] = B[i]? + (03). Recurrence: dp = [max(dp[1] + B[i - 1] - 1, dp[0]), max(dp[1] + abs(B[i] - B[i - 1]), dp[0] + B[i] - 1)] + (04). Topological Order: i from 1 to len(B) - 1 + (05). Original Probblem: max(dp) of A[:len(B)] + + Time Complexity: O(|B| - 1) +''' + +def cost(B): + # Base Case + dp = [0, 0] + for i in range(1,len(B)): + dp = [max(dp[1] + B[i - 1] - 1, dp[0]), max(dp[1] + abs(B[i] - B[i - 1]), dp[0] + B[i] - 1)] + return max(dp) From bf524f67a6c5d79914f91422d856b4187b1c2cba Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:29:52 +0530 Subject: [PATCH 077/276] Create solution.py --- .../Kingdom Division/solution.py | 49 +++++++++++++++++++ 1 file changed, 49 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Dynamic Programming/Kingdom Division/solution.py diff --git a/codeBase/HackerRank/Algorithms/Dynamic Programming/Kingdom Division/solution.py b/codeBase/HackerRank/Algorithms/Dynamic Programming/Kingdom Division/solution.py new file mode 100644 index 0000000..86864f4 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Dynamic Programming/Kingdom Division/solution.py @@ -0,0 +1,49 @@ +''' + Copyright (C) 2020, Sathira Silva. + + Problem Statement: King Arthur has a large kingdom that can be represented as a tree, where nodes correspond to cities and edges + correspond to the roads between cities. The kingdom has a total of n cities numbered from 1 to n. The King wants to divide his kingdom + between his two children, Reggie and Betty, by giving each of them 0 or more cities; however, they don't get along so he must divide + the kingdom in such a way that they will not invade each other's cities. The first sibling will invade the second sibling's city if + the second sibling has no other cities directly connected to it. + Given a map of the kingdom's n cities, find and print the number of ways King Arthur can divide it between his two children such that + they will not invade each other. As this answer can be quite large, it must be modulo 7 + 10 ^ 9. + + Approach: We have to find the number of ways of colouring subtrees such that its root node has the same colour as the subtree. + This can be easily done with Dynamic Programming and DFS traversal to find the subtrees. +''' + +from collections import defaultdict +sys.setrecursionlimit(10 ** 6) + +mod = 7 + 10 ** 9 + +def dfs(city, kingdom, visited): + global dp + visited[city] = True + for neighbourCity in kingdom[city]: + if visited[neighbourCity]: + continue + dfs(neighbourCity, kingdom, visited) + dp[city][0] = (dp[city][0] * dp[neighbourCity][1]) % mod + dp[city][1] = (dp[city][1] * (2 * dp[neighbourCity][1] + dp[neighbourCity][0])) % mod + dp[city][1] -= dp[city][0] + +def kingdomDivision(n, roads): + global dp + visited = [False] * (n + 1) + kingdom = defaultdict(list) + for u, v in roads: + kingdom[u].append(v) + kingdom[v].append(u) + dfs(1, kingdom, visited) + return (2 * dp[1][1]) % mod + +if __name__ == '__main__': + n = int(stdin.readline()) + roads = [] + for _ in range(n-1): + roads.append(list(map(int, stdin.readline().rstrip().split()))) + dp = [[1, 1] for _ in range(n + 1)] + result = kingdomDivision(n, roads) + stdout.write(str(result) + '\n') From e1c880d238b165d79c4942f360efe59dee697f17 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:30:41 +0530 Subject: [PATCH 078/276] Create Solution.cpp --- .../Bricks Game/Solution.cpp | 34 +++++++++++++++++++ 1 file changed, 34 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Dynamic Programming/Bricks Game/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Dynamic Programming/Bricks Game/Solution.cpp b/codeBase/HackerRank/Algorithms/Dynamic Programming/Bricks Game/Solution.cpp new file mode 100644 index 0000000..25e8d8d --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Dynamic Programming/Bricks Game/Solution.cpp @@ -0,0 +1,34 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Problem Statement: You and your friend decide to play a game using a stack consisting of N bricks. In this game, you can + alternatively remove 1, 2 or 3 bricks from the top, and the numbers etched on the removed bricks are + added to your score. You have to play so that you obtain the maximum possible score. It is given that your + friend will also play optimally and you make the first move. +*/ + +#include +#include + +using namespace std; + +vector split_string(string); + +long long bricksGame(vector arr) { + int n = arr.size(); + long long score[n]; + if (arr.size() <= 3) + return accumulate(arr.begin(), arr.end(), 0); + // Base Cases: + score[n - 1] = arr[n - 1]; + score[n - 2] = score[n - 1] + arr[n - 2]; + score[n - 3] = score[n - 2] + arr[n - 3]; + long long sum = score[n - 3]; + // Build the optimal solution using the optimal solutions of it's subproblems. + // Traverse the array backwards and get the cumulative sum at each state. + for (int i = n - 4; i >= 0; i--) { + sum += arr[i]; + score[i] = sum - min({score[i + 1], score[i + 2], score[i + 3]}); + } + return score[0]; +} From b7f80b6f7a41a302be798a596856c83a54af84e4 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:34:08 +0530 Subject: [PATCH 079/276] Create solution.py --- .../Algorithms/Game Theory/Tower Breakers/solution.py | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers/solution.py diff --git a/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers/solution.py b/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers/solution.py new file mode 100644 index 0000000..77f0430 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers/solution.py @@ -0,0 +1,6 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +def towerBreakers(n, m): + return 2 if m == 1 or n % 2 == 0 else 1 From f8d6ef2da56ea44445f0690250a228e23ff53e56 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:35:44 +0530 Subject: [PATCH 080/276] Create Solution.cpp --- .../Tower Breakers Again/Solution.cpp | 27 +++++++++++++++++++ 1 file changed, 27 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Again/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Again/Solution.cpp b/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Again/Solution.cpp new file mode 100644 index 0000000..fe5cd97 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Again/Solution.cpp @@ -0,0 +1,27 @@ +#include + +using namespace std; + +int oddPrime(int num) { + int count = 0; + if (num % 2 == 0) + count++; + while (num % 2 == 0) + num /= 2; + for (int i = 3; i <= sqrt(num); i++) { + while (num % i == 0) { + num /= i; + if (i % 2 != 0) count++; + } + } + if (num > 2) + count++; + return count; + } + +int towerBreakers(vector arr) { + int nim = 0; + for (int i = 0; i < arr.size(); i++) + nim ^= oddPrime(arr[i]); + return (nim) ? 1 : 2; +} From 655d647fb4088f1e021ef139f83640babf01359d Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:37:07 +0530 Subject: [PATCH 081/276] Update Solution.cpp --- .../Algorithms/Game Theory/Tower Breakers Again/Solution.cpp | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Again/Solution.cpp b/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Again/Solution.cpp index fe5cd97..d0cd54b 100644 --- a/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Again/Solution.cpp +++ b/codeBase/HackerRank/Algorithms/Game Theory/Tower Breakers Again/Solution.cpp @@ -1,3 +1,7 @@ +/* + Copyright (C) 2020, Sathira Silva. +*/ + #include using namespace std; From 67b39ad1d17d80ef4cce11111c50268161b57f1e Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:37:47 +0530 Subject: [PATCH 082/276] Create Solution.cpp --- .../Game Theory/Deforestation/Solution.cpp | 27 +++++++++++++++++++ 1 file changed, 27 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Game Theory/Deforestation/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Game Theory/Deforestation/Solution.cpp b/codeBase/HackerRank/Algorithms/Game Theory/Deforestation/Solution.cpp new file mode 100644 index 0000000..dd6593c --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Game Theory/Deforestation/Solution.cpp @@ -0,0 +1,27 @@ +/* + Copyright (C) 2020, Sathira Silva. +*/ + +#include + +using namespace std; + +int gr[501]; + +int dfs(int u, int p, vector>& G){ + for(auto ch : G[u]){ + if(ch != p) gr[u] ^= dfs(ch,u,G); + } + return u == 1 ? gr[u] : ++gr[u]; +} + + +string deforestation(int n, vector> tree) { + memset(gr, 0, sizeof(gr)); + vector> G(n+1); + for(auto p : tree){ + G[p[0]].push_back(p[1]); + G[p[1]].push_back(p[0]); + } + return dfs(1,-1,G) ? "Alice" : "Bob"; +} From 59ed8b640af2206d56c4536f2b8b874b5a63acd2 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Tue, 28 Apr 2020 20:39:17 +0530 Subject: [PATCH 083/276] Update Solution.cpp --- .../Game Theory/Deforestation/Solution.cpp | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/codeBase/HackerRank/Algorithms/Game Theory/Deforestation/Solution.cpp b/codeBase/HackerRank/Algorithms/Game Theory/Deforestation/Solution.cpp index dd6593c..f4add7d 100644 --- a/codeBase/HackerRank/Algorithms/Game Theory/Deforestation/Solution.cpp +++ b/codeBase/HackerRank/Algorithms/Game Theory/Deforestation/Solution.cpp @@ -6,22 +6,22 @@ using namespace std; -int gr[501]; +int grundy[501]; int dfs(int u, int p, vector>& G){ for(auto ch : G[u]){ - if(ch != p) gr[u] ^= dfs(ch,u,G); + if(ch != p) grundy[u] ^= dfs(ch,u,G); } - return u == 1 ? gr[u] : ++gr[u]; + return u == 1 ? grundy[u] : ++grundy[u]; } string deforestation(int n, vector> tree) { memset(gr, 0, sizeof(gr)); - vector> G(n+1); + vector> graph(n+1); for(auto p : tree){ - G[p[0]].push_back(p[1]); - G[p[1]].push_back(p[0]); + graph[p[0]].push_back(p[1]); + graph[p[1]].push_back(p[0]); } - return dfs(1,-1,G) ? "Alice" : "Bob"; + return dfs(1, -1, graph) ? "Alice" : "Bob"; } From 1bdd9336534089aa88c53aa3cf8413c6fc0fdf57 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Wed, 29 Apr 2020 08:46:03 +0530 Subject: [PATCH 084/276] Create Solution.cpp --- .../KnightL on a Chessboard/Solution.cpp | 48 +++++++++++++++++++ 1 file changed, 48 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Search/KnightL on a Chessboard/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Search/KnightL on a Chessboard/Solution.cpp b/codeBase/HackerRank/Algorithms/Search/KnightL on a Chessboard/Solution.cpp new file mode 100644 index 0000000..059a690 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Search/KnightL on a Chessboard/Solution.cpp @@ -0,0 +1,48 @@ +''' + Copyright (C) 2020, Sathira Silva. + + Problem Statement: https://www.hackerrank.com/challenges/knightl-on-chessboard/copy-from/155879319 + + Approach: Run bfs for each a = 1 to n - 1 and b = a to n - 1 because of the symmetry in the KnightL(a, b) = KnightL(b, a). +''' + +#include + +using namespace std; + +const int INF = 1e9; + +int bfs(int a, int b, int n) { + queue> q; + int distance[n][n]; + for (int i = 0; i < n; i++) + for (int j = 0 ; j < n; j++) + distance[i][j] = INF; + vector> directions = {{a, b}, {b, a}, {a, -b}, {b, -a}, {-a, b}, {-b, a}, {-a, -b}, {-b, -a}}; + q.push({0, 0}); + distance[0][0] = 0; + int x1, y1; + while (!q.empty()) { + x1 = q.front().first; + y1 = q.front().second; + q.pop(); + for (auto dxdy: directions) { + int dx = dxdy.first, dy = dxdy.second; + if (dx + x1 >= 0 && dx + x1 < n && dy + y1 >= 0 && dy + y1 < n && distance[dx + x1][dy + y1] > distance[x1][y1] + 1) { + distance[dx + x1][dy + y1] = distance[x1][y1] + 1; + q.push({dx + x1, dy + y1}); + } + } + } + return (distance[n - 1][n - 1] == INF) ? -1 : distance[n - 1][n - 1]; +} + +vector> knightlOnAChessboard(int n) { + vector> moves(n - 1, vector(n - 1, 1)); + for (int a = 1; a < n; a++) { + for (int b = a; b < n; b++) { + moves[a - 1][b - 1] = moves[b - 1][a - 1] = bfs(a, b, n); + } + } + return moves; +} From 15dc7a20e366cce9fa42a00b954ebf82054ab6fe Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Wed, 29 Apr 2020 10:15:24 +0530 Subject: [PATCH 085/276] Create solution.py --- .../Algorithms/Search/Minimum Loss/solution.py | 10 ++++++++++ 1 file changed, 10 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Search/Minimum Loss/solution.py diff --git a/codeBase/HackerRank/Algorithms/Search/Minimum Loss/solution.py b/codeBase/HackerRank/Algorithms/Search/Minimum Loss/solution.py new file mode 100644 index 0000000..ead5870 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Search/Minimum Loss/solution.py @@ -0,0 +1,10 @@ +''' + Copyright (C) 2020, Sathira Silva. +''' + +from sys import stdin, stdout + +if __name__ == '__main__': + n = int(stdin.readline()) + prices = sorted(list(enumerate(map(int, stdin.readline().rstrip().split()))), key=lambda x: x[1]) + stdout.write(str(min(bought - sold for (yearBought, bought), (yearSold, sold) in zip(prices[1:], prices[:-1]) if yearSold > yearBought))) From faa14c9eaf37e5587e43814a93eb7891263e0add Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Wed, 29 Apr 2020 11:18:03 +0530 Subject: [PATCH 086/276] Create Solution.cpp --- .../Search/Missing Numbers/Solution.cpp | 38 +++++++++++++++++++ 1 file changed, 38 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Search/Missing Numbers/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Search/Missing Numbers/Solution.cpp b/codeBase/HackerRank/Algorithms/Search/Missing Numbers/Solution.cpp new file mode 100644 index 0000000..051fab1 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Search/Missing Numbers/Solution.cpp @@ -0,0 +1,38 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Problem Statement: Numeros the Artist had two lists that were permutations of one another. He was very proud. Unfortunately, while + transporting them from one exhibition to another, some numbers were lost out of the first list. Can you find the + missing numbers? +*/ + +#include + +using namespace std; + +int main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + int n, m, ele; + cin >> n; + // Array to store frequencies of each missing element. + int frequency[10001] = {0}; + for (int i = 0; i < n; i++) { + cin >> ele; + // Decrement the frequencies of available elements so that the frequencies of the missing elements can be counted in the next step. + frequency[ele]--; + } + cin >> m; + for (int i = 0; i < m; i++) { + cin >> ele; + // Increment the frequencies of elements in the original array. This will cause the frequencies of the missing elements to + // be greater than 0. Others will stay as 0. + frequency[ele]++; + } + for (int i = 0; i < 10001; i++) + if (frequency[i] > 0) + cout << i << " "; + cout << endl; + return 0; +} From b8d58231ded5b8c236d423d96ed9a1c2272e4920 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Wed, 29 Apr 2020 11:41:02 +0530 Subject: [PATCH 087/276] Create solution.py --- .../HackerRank/Algorithms/Search/Pairs/solution.py | 14 ++++++++++++++ 1 file changed, 14 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Search/Pairs/solution.py diff --git a/codeBase/HackerRank/Algorithms/Search/Pairs/solution.py b/codeBase/HackerRank/Algorithms/Search/Pairs/solution.py new file mode 100644 index 0000000..94adf1f --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Search/Pairs/solution.py @@ -0,0 +1,14 @@ +''' + Copyright (C) 2020, Sathira Silva. + + Problem Statement: You will be given an array of integers and a target value. Determine the number of pairs of array elements that + have a difference equal to a target value. + + Time Complexity: O(n) for both set conversion and set intersection operation. +''' + +from sys import stdin, stdout + +n, k = map(int, stdin.readline().rstrip().split()) +arr = set(map(int, stdin.readline().rstrip().split())) +stdout.write(str(len(arr & set(d + k for d in arr)))) From bf32fea7694d70073e3e7a576c2a81590903d975 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Wed, 29 Apr 2020 13:32:20 +0530 Subject: [PATCH 088/276] Create Solution.cpp --- .../Search/Sherlock and Array/Solution.cpp | 49 +++++++++++++++++++ 1 file changed, 49 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Search/Sherlock and Array/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Search/Sherlock and Array/Solution.cpp b/codeBase/HackerRank/Algorithms/Search/Sherlock and Array/Solution.cpp new file mode 100644 index 0000000..1e484ed --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Search/Sherlock and Array/Solution.cpp @@ -0,0 +1,49 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Problem Statement: Watson gives Sherlock an array of integers. His challenge is to find an element of the array such that the sum + of all elements to the left is equal to the sum of all elements to the right. For instance, given the array + arr = [5, 6, 8, 11], 8 is between two subarrays that sum to 11. If your starting array is [1], that element + satisfies the rule as left and right sum to 0. + You will be given arrays of integers and must determine whether there is an element that meets the criterion. + + Approach: Search for a pivot element which satifies the above condition. Maintain a left sum and a right sum where left sum is + initially 0 and right sum is the sum of the entire array except the first element. Then, iterate over the array starting + from 1st element. Check whether the left and right sums are equal. If not, add the previous element to the left sum + and deduct the current element from the right sum (In each iteration we assume the current element to be the pivot). + + Time Complexity: O(n) +*/ + +#include + +using namespace std; + +int main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + int t, n, leftSum, rightSum; + cin >> t; + for (int k = 0; k < t; k++) { + cin >> n; + int arr[n]; + bool found = false; + leftSum = 0, rightSum = 0; + for (int i = 0; i < n; i++) { + cin >> arr[i]; + rightSum += arr[i]; + } + rightSum -= arr[0]; + for (int i = 1; i < n; i++) { + if (leftSum == rightSum) { + found = true; + break; + } + leftSum += arr[i - 1]; + rightSum -= arr[i]; + } + cout << (found ? "YES" : "NO") << endl; + } + return 0; +} From f38f841ea73c5625706433ab2f41accea03fe420 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Wed, 29 Apr 2020 16:49:50 +0530 Subject: [PATCH 089/276] Create Solution.cpp --- .../Search/Maximum Subarray Sum/Solution.cpp | 54 +++++++++++++++++++ 1 file changed, 54 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Search/Maximum Subarray Sum/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Search/Maximum Subarray Sum/Solution.cpp b/codeBase/HackerRank/Algorithms/Search/Maximum Subarray Sum/Solution.cpp new file mode 100644 index 0000000..05894ac --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Search/Maximum Subarray Sum/Solution.cpp @@ -0,0 +1,54 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Problem Statement: We define the following: + A subarray of array a of length n is a contiguous segment from a[i] through a[j] where 0 <= i <= j < n. + The sum of an array is the sum of its elements. + Given an n element array of integers, a, and an integer, m, determine the maximum value of the sum of any of its + subarrays modulo m. + + Approach: When dealing with subarray sums the most efficient way is to creating a prefix sum because it reduces time for repeating + computations of subarray sums. Here the prefix modulo sum can be defined as: + prefixSum(i) = (arr[0] + ... + arr[i]) % m + Therefore, the subarray mod sum from a[i] to a[j] can be defined as: + subarraySum(i, j) = (prefixSum(j) - prefixSum(i - 1) + m) % m (m is added to handle the negative values) + It can be seen that the subarray sum is maximum when prefixSum(i - 1) = prefixSum(j) + 1 because largest value the + above expression can get is (m - 1). Therefore, we just need to find the indices i having the lowest prefix sum greater + than or equal to prefixSum(j) + 1 for each prefixSum(j). It's easier to use a Binary Search Tree consisting the prefix + sums to search those values efficiently. + + Total Time Complexity: O(nlog(n)) +*/ + +#include + +using namespace std; + +int main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + int q, n; + long long m; + cin >> q; + for (int i = 0; i < q; i++) { + cin >> n >> m; + long long prefixSum = 0, maxSubarraySum = 0; + set bbst; // Maintain a Balanced Binary Search Tree. + bbst.insert(0); + for (int i = 0; i < n; i++) { + int current; + cin >> current; + prefixSum = (prefixSum + current % m) % m; + maxSubarraySum = max(maxSubarraySum, prefixSum); + // Find the lowest value in the prefix sum larger than or equal to one larger + // than current prefix sum. + auto iter = bbst.lower_bound(prefixSum + 1); + if (iter != bbst.end()) + maxSubarraySum = max(maxSubarraySum, prefixSum - *iter + m); + bbst.insert(prefixSum); + } + cout << maxSubarraySum << endl; + } + return 0; +} From 5a0458777268b57c44ca93b6a927318d015d3bda Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Wed, 29 Apr 2020 18:05:12 +0530 Subject: [PATCH 090/276] Create Solution.cpp --- .../Connected Cells in a Grid/Solution.cpp | 60 +++++++++++++++++++ 1 file changed, 60 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Search/Connected Cells in a Grid/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Search/Connected Cells in a Grid/Solution.cpp b/codeBase/HackerRank/Algorithms/Search/Connected Cells in a Grid/Solution.cpp new file mode 100644 index 0000000..89d3771 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Search/Connected Cells in a Grid/Solution.cpp @@ -0,0 +1,60 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Problem Statement: https://www.hackerrank.com/challenges/connected-cell-in-a-grid/problem + + Approach: Run BFS on each cell to find the number of cells in filled regions (Floodfill Algorithm). + + Time Complexity: O(nm) +*/ + +#include + +using namespace std; + +int n, m, cells; +bool visited[11][11]; +int grid[11][11]; +const int directions[8][2] = {{1, 0}, {0, 1}, {1, 1}, {-1, 0}, {0, -1}, {1, -1}, {-1, 1}, {-1, -1}}; + +void bfs(int x, int y) { + visited[x][y] = true; + queue> q; + q.push({x, y}); + while (!q.empty()) { + int x0 = q.front().first; + int y0 = q.front().second; + q.pop(); + for (int i = 0; i < 8; i++) { + int x1 = x0 + directions[i][0]; + int y1 = y0 + directions[i][1]; + if (x1 >= 0 && x1 < n && y1 >= 0 && y1 < m && !visited[x1][y1] && grid[x1][y1]) { + cells++; + visited[x1][y1] = true; + q.push({x1, y1}); + } + } + } +} + +int main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + int maxCells = -1; + cin >> n >> m; + for (int i = 0; i < n; i++) + for (int j = 0; j < m; j++) + cin >> grid[i][j]; + for (int i = 0; i < n; i++) { + for (int j = 0; j < m; j++) { + if (!visited[i][j] && grid[i][j]) { + cells = 0; + bfs(i, j); + maxCells = max(maxCells, cells); + } + } + } + cout << maxCells + 1 << endl; + return 0; +} From 2608b63d19943fe7fe8387cc753ba2ee76bda823 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Wed, 29 Apr 2020 19:43:35 +0530 Subject: [PATCH 091/276] Create Solution.cpp --- .../Search/Cut The Tree/Solution.cpp | 51 +++++++++++++++++++ 1 file changed, 51 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Search/Cut The Tree/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Search/Cut The Tree/Solution.cpp b/codeBase/HackerRank/Algorithms/Search/Cut The Tree/Solution.cpp new file mode 100644 index 0000000..48756fc --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Search/Cut The Tree/Solution.cpp @@ -0,0 +1,51 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Problem Statement: Anna loves graph theory! She has a tree where each vertex is numbered from 1 to n, and each contains a data + value. The sum of a tree is the sum of all its nodes' data values. If she cuts an edge in her tree, she forms + two smaller trees. The difference between two trees is the absolute value between their sums. + Given a tree, determine which edge to cut so that the resulting trees have a minimal difference between them, + then return that difference. + + Approach: Run DFS from root vertex to find all the subtree weights. +*/ + +#include + +using namespace std; + +int n, minDifference, totalWeight; +const int MAX = (int) pow(10, 5) + 1; +vector tree[MAX]; +int weight[MAX]; +bool visited[MAX]; + +int dfs(int u) { + int w = weight[u]; + visited[u] = true; + for (int v: tree[u]) + if (!visited[v]) + w += dfs(v); + // Deduct w twice because totalWeight of the tree includes weight of the subtree w. + minDifference = min(minDifference, abs(totalWeight - 2 * w)); + return w; +} + +int main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + cin >> n; + for (int i = 1; i <= n; i ++) + cin >> weight[i]; + for (int i = 0; i < n; i++) { + int u, v; + cin >> u >> v; + tree[u].push_back(v); + tree[v].push_back(u); + } + minDifference = 1e9, totalWeight = accumulate(weight, weight + n + 1, 0); + dfs(1); + cout << minDifference << endl; + return 0; +} From 732c941c11b7a35d42782bbb95f60caf151177d9 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Thu, 30 Apr 2020 08:04:15 +0530 Subject: [PATCH 092/276] Create Solution.cpp --- .../Search/Bike Racers/Solution.cpp | 130 ++++++++++++++++++ 1 file changed, 130 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Search/Bike Racers/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Search/Bike Racers/Solution.cpp b/codeBase/HackerRank/Algorithms/Search/Bike Racers/Solution.cpp new file mode 100644 index 0000000..c9cf071 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Search/Bike Racers/Solution.cpp @@ -0,0 +1,130 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Problem Statement: There are N bikers present in a city (shaped as a grid) having M bikes. All the bikers want to participate in + the HackerRace competition, but unfortunately only K bikers can be accommodated in the race. Jack is organizing + the HackerRace and wants to start the race as soon as possible. He can instruct any biker to move towards any + bike in the city. In order to minimize the time to start the race, Jack instructs the bikers in such a way that + the first K bikes are acquired in the minimum time. + Every biker moves with a unit speed and one bike can be acquired by only one biker. A biker can proceed in any + direction. Consider distance between bikes and bikers as Euclidean distance. + Jack would like to know the square of required time to start the race as soon as possible. + + Approach: Assume we know the minimum time required for the K bikers to aquire one bike for each. Now all we have to do is to find + the maximum matches possible to match at most one bike to one biker which is a bipartite matching problem. Then we have + to find the minimum time that K bikes can be aquired. Since we know the lower bound and upper bound for the time + required to aquire bikes, a simple binary search will solve this problem. I've used hopcroft-karp algorithm to match + the bipartites because it only requires O(sqrt(N + M) * NM) time. + + Total Time Complexity: O(log(1e14) * sqrt(N + M) * NM) +*/ + +#include + +using namespace std; + +typedef long long int lli; +int n, m, k; +// d[i][j] : Euclidean squared distance from ith biker to kth bike. +// augDistance[u] : Distance of the current augmenting path to vertex u. +lli d[251][251], augDistance[251]; +// Initially unmatched vertices in each partite to store the matches. +int unmatchedBikers[251], unmatchedBikes[251]; +vector biGraph[251]; +const lli INF = 2e9; + +bool dfs(int biker) { + if (biker != 0) { + for (int bike: biGraph[biker]) { + if (augDistance[unmatchedBikes[bike]] == augDistance[biker] + 1) { + if(dfs(unmatchedBikes[bike])) { + unmatchedBikes[bike] = biker; + unmatchedBikers[biker] = bike; + return true; + } + } + } + augDistance[biker] = INF; + return false; + } + return true; +} + +bool bfs() { + queue q; + for (int i = 1; i <= n; i++) { + if (unmatchedBikers[i] == 0) { + augDistance[i] = 0; + q.push(i); + } + else + augDistance[i] = INF; + } + augDistance[0] = INF; + while (!q.empty()) { + int biker = q.front(); + q.pop(); + if (augDistance[biker] < augDistance[0]) { + for (int bike: biGraph[biker]) { + if (augDistance[unmatchedBikes[bike]] == INF) { + augDistance[unmatchedBikes[bike]] = augDistance[biker] + 1; + q.push(unmatchedBikes[bike]); + } + } + } + } + return augDistance[0] != INF; +} + +int hopcroftKarp() { + memset(unmatchedBikers, 0, sizeof(unmatchedBikers)); + memset(unmatchedBikes, 0, sizeof(unmatchedBikes)); + int matches = 0; + while (bfs()) { + for (int i = 1; i <= n; i++) + if (unmatchedBikers[i] == 0 && dfs(i)) + matches++; + } + return matches; +} + +bool can(lli squaredT) { + for (int i = 1; i <= n; i++) { + biGraph[i].clear(); + for (int j = 1; j <= m; j++) { + if (d[i][j] <= squaredT) { + biGraph[i].push_back(j); + } + } + } + if (hopcroftKarp() >= k) + return true; + return false; +} + +int main() +{ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + cin >> n >> m >> k; + pair bikers[n + 1]; + pair bikes[m + 1]; + for (int i = 1; i <= n; i++) + cin >> bikers[i].first >> bikers[i].second; + for (int i = 1; i <= m; i++) + cin >> bikes[i].first >> bikes[i].second; + // Distances from ith biker to jth bike. + for (int i = 1; i <= n; i++) + for (int j = 1; j <= m; j++) + d[i][j] = (bikers[i].first - bikes[j].first) * (bikers[i].first - bikes[j].first) + (bikers[i].second - bikes[j].second) * (bikers[i].second - bikes[j].second); + // Binary search for the minimum squared time. + lli low = 0, high = 1e14; // (Search upto the squared value of max possible distance) + while (low < high) { + lli minSquaredT = (low + high) / 2; + if (can(minSquaredT)) + high = minSquaredT; + else + low = minSquaredT + 1; + } + cout << low << endl; +} From 67f9c17996c2af20a298173648d07c8070aa3c6b Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Thu, 30 Apr 2020 11:34:36 +0530 Subject: [PATCH 093/276] Create Solution.cpp --- .../Highest Value Palindrome/Solution.cpp | 59 +++++++++++++++++++ 1 file changed, 59 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Strings/Highest Value Palindrome/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Strings/Highest Value Palindrome/Solution.cpp b/codeBase/HackerRank/Algorithms/Strings/Highest Value Palindrome/Solution.cpp new file mode 100644 index 0000000..a3858fa --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Strings/Highest Value Palindrome/Solution.cpp @@ -0,0 +1,59 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Problem Statement: Palindromes are strings that read the same from the left or right, for example madam or 0110. + You will be given a string representation of a number and a maximum number of changes you can make. Alter the + string, one digit at a time, to create the string representation of the largest number possible given the limit + to the number of changes. The length of the string may not be altered, so you must consider 0's left of all + higher digits in your tests. For example 0110 is valid, 0011 is not. + Given a string representing the starting number and a maximum number of changes allowed, create the largest + palindromic string of digits possible or the string -1 if it's impossible to create a palindrome under the + contstraints. +*/ + +#include + +using namespace std; + +string highestValuePalindrome(string s, int n, int k) { + int changes = 0; + bool change[n]; + // Traverse the string upto n / 2, front and end pair wise (s[i] and s[n - i - 1]). + // First copy the large digit to the other in the pair if they're not equal and if there're more moves left. + for (int i = 0; i < n / 2; i++) { + if (s[i] != s[n - i - 1]) { + change[i] = true; + changes++; + if (s[i] > s[n - i - 1]) + s[n - i - 1] = s[i]; + else + s[i] = s[n - i - 1]; + } + if (changes > k) + return "-1"; + } + // If there're more moves left, change the digits which are not 9 to 9. + for (int i = 0; i < n / 2 && changes < k; i++) { + if (s[i] != '9') { + // We could have changed this digit to 9, therefore undo the previous change. + if (change[i]) + changes--; + if (changes < k - 1) { + s[i] = s[n - i - 1] = '9'; + changes += 2; + } + } + } + // Finally handle the middle digit if the number of digits is odd. + if (n % 2 && changes < k) + s[n / 2] = '9'; + return s; +} + +int main() { + int n, k; + string s; + cin >> n >> k >> s; + cout << highestValuePalindrome(s, n, k) << endl; + return 0; +} From 9aecf6371987a3b7159a61f4eb9537ed7b86a044 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Thu, 30 Apr 2020 11:38:55 +0530 Subject: [PATCH 094/276] Create solution.py --- .../Greedy/Chief Hopper/solution.py | 22 +++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Greedy/Chief Hopper/solution.py diff --git a/codeBase/HackerRank/Algorithms/Greedy/Chief Hopper/solution.py b/codeBase/HackerRank/Algorithms/Greedy/Chief Hopper/solution.py new file mode 100644 index 0000000..def3316 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Greedy/Chief Hopper/solution.py @@ -0,0 +1,22 @@ +''' + Copyright (C) 2020, Sathira Silva. + + Problem Statement: https://www.hackerrank.com/challenges/chief-hopper/problem + + Approach: Since the bot must pass the last building with the lowest energy, traverse the bulidings backwards and find the the + energy required using the given formula. +''' + +from sys import stdin, stdout + +def chiefHopper(buildings): + minEnergy = 0 + for height in reversed(buildings): + minEnergy = (1 + height + minEnergy) // 2 + return minEnergy + +if __name__ == '__main__': + n = int(stdin.readline()) + arr = list(map(int, stdin.readline().rstrip().split())) + result = chiefHopper(arr) + stdout.write(str(result) + '\n') From 25bb5da2c8fcdd1c3729c7380e38e4189f34e247 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Thu, 30 Apr 2020 12:01:37 +0530 Subject: [PATCH 095/276] Create solution.py --- .../Algorithms/Greedy/Candies/solution.py | 25 +++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Greedy/Candies/solution.py diff --git a/codeBase/HackerRank/Algorithms/Greedy/Candies/solution.py b/codeBase/HackerRank/Algorithms/Greedy/Candies/solution.py new file mode 100644 index 0000000..efa6615 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Greedy/Candies/solution.py @@ -0,0 +1,25 @@ +''' + Copyright (C) 2020, Sathira Silva. + + Problem Statement: Alice is a kindergarten teacher. She wants to give some candies to the children in her class. All the children + sit in a line and each of them has a rating score according to his or her performance in the class. Alice wants + to give at least 1 candy to each child. If two children sit next to each other, then the one with the higher + rating must get more candies. Alice wants to minimize the total number of candies she must buy. + + Approach: Since each child must get at least one candy, give one candy per child initially. Then traverse the children starting from + the 1st index and give them one more candy if that child's rating is higher than the previous child. Then traverse the + children backwards starting from the child before the last index and compare the child's rating with the child sitting + next to him. If that child's rating is higher than the child sitting next to him, make a greedy choice to give candies + to him i.e. if the child has candies more than the next child, don't give any candies to him. Otherwise get all the candies + he currently has and give him candies one more than the amount of the next child has. +''' + +def candies(n, arr): + candyCount = [1] * n + for i in range(1, len(arr)): + if arr[i] > arr[i - 1]: + candyCount[i] = candyCount[i - 1] + 1 + for i in range(len(arr) - 2, -1, -1): + if arr[i] > arr[i + 1]: + candyCount[i] = max(candyCount[i], candyCount[i + 1] + 1) + return sum(candyCount) From 1e5c16c5a87338f3179ee99ba8c83037d524d7d3 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Mon, 11 May 2020 20:08:36 +0530 Subject: [PATCH 096/276] Create Solution.cpp --- .../Graph-theory/Computer Game/Solution.cpp | 211 ++++++++++++++++++ 1 file changed, 211 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Graph-theory/Computer Game/Solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Graph-theory/Computer Game/Solution.cpp b/codeBase/HackerRank/Algorithms/Graph-theory/Computer Game/Solution.cpp new file mode 100644 index 0000000..1c7c660 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Graph-theory/Computer Game/Solution.cpp @@ -0,0 +1,211 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Problem Statement: Sophia is playing a game on the computer. There are two random arrays A & B, each having the same number of + elements. The game begins with Sophia removing a pair (Ai, Bj) from the array if they are not co-prime. She + keeps a count on the number of times this operation is done. + Sophia wants to find out the maximal number of times(S) she can do this on the arrays. Could you help Sophia + find the value? + + Constraints: 0 < n <= 10^5 + 2 <= A[i], B[i] <= 10^9 + Each element in both arrays are generated randomly between 2 and 10^9 + + Approach: (1). Sieve the prime numbers efficiently which are needed to factorize the numbers in array A and B. + (2). Build a network consisting three layers: array A, primes, array B. + (3). Link elements in A and B with their prime factors in the prime layer (with unit edge capacity). + (4). Find the maximum flow (I've used dinitz algorithm). + +*/ + +#include + +using namespace std; + +struct Edge { + int v, flow; + Edge(int v, int flow) : v(v), flow(flow) {} +}; + +bool prime[32000]; +int fprime[32000]; +vector p; +vector> graph; +vector edges; +vector level; +vector last; + +// Sieve of Eratosthenes (Sieve primes upto sqrt(1e9) i.e. upto 3401th prime which is: +// 31607 * 31607 = 999002449). +void sieve() { + memset(prime, true, sizeof(prime)); + prime[0] = prime[1] = false; + for (int i = 2; i * i <= 32000; ++i) + if (prime[i]) + for (int j = i * i; j < 32000; j += i) + if (prime[j]) + { + prime[j] = false; + fprime[j] = i; + } + for (int i = 0 ; i < 32000; i++) + if (prime[i]) + p.push_back(i); +} + +// Find the prime factors of numbers less than 31607. +vector getFactors(int n) { + vector factors; + while (n > 1) { + int r = prime[n] ? n : fprime[n]; + factors.push_back(r); + while (n % r == 0) + n /= r; + } + return factors; +} + +// Handle the numbers larger than 31607. +vector getFactorsBig(int n) { + if (n < 32000) + return getFactors(n); + vector factors; + for (int i = 0; i < p.size() && p[i] * p[i] <= n; i++) { + if (n % p[i] == 0) { + factors.push_back(p[i]); + while (n % p[i] == 0) + n /= p[i]; + } + } + if (n > 1) + factors.push_back(n); + return factors; +} + +// Find augmenting paths using breadth first search. +bool bfs(int s, int t) +{ + level.assign(graph.size(), -1); + level[s] = 0; + queue q; + q.push(s); + while (!q.empty()) + { + int u = q.front(); + q.pop(); + for (int i = 0; i < graph[u].size(); i++) + { + Edge &e = edges[graph[u][i]]; + if (e.flow > 0 && level[e.v] == -1) + { + level[e.v] = level[u] + 1; + q.push(e.v); + } + } + } + return level[t] != -1; +} + +// Augment the augmenting path which is found by the breadth first search. +int dfs(int s, int t, int u, int flow) +{ + if (u == t) + return flow; + for (int &i = last[u]; i < graph[u].size(); i++) + { + int id = graph[u][i]; + Edge &e = edges[id]; + if (e.flow > 0 && level[e.v] == level[u] + 1) + { + int res = dfs(s, t, e.v, min(flow, e.flow)); + if (res > 0) + { + e.flow -= res; + edges[id ^ 1].flow += res; + return res; + } + } + } + level[u] = -1; + return 0; +} + +int computerGame(int n, int A[], int B[]) { + vector primes; + vector> facA(n), facB(n); + // Primes corresponding to elements in A. + for (int i = 0; i < n; i++) { + facA[i] = getFactorsBig(A[i]); + primes.insert(primes.end(), facA[i].begin(), facA[i].end()); + } + // Primes corresponding to elements in B. + for (int i = 0; i < n; i++) { + facB[i] = getFactorsBig(B[i]); + primes.insert(primes.end(), facB[i].begin(), facB[i].end()); + } + // Remove duplicates. + sort(primes.begin(), primes.end()); + primes.erase(unique(primes.begin(), primes.end()), primes.end()); + + int total = 0, N = 2 * n + primes.size() + 2; + int s = 0, t = N - 1; + // Residual graph. + graph.resize(N); + + // Add edges from source to A and B to sink. + for (int i = 1; i <= n; i++) { + edges.push_back(Edge(i, 1)); + edges.push_back(Edge(s, 0)); + graph[s].push_back(edges.size() - 2); + graph[i].push_back(edges.size() - 1); + + edges.push_back(Edge(t, 1)); + edges.push_back(Edge(n + primes.size() + i, 0)); + graph[n + primes.size() + i].push_back(edges.size() - 2); + graph[t].push_back(edges.size() - 1); + } + // Add edges from A to primes. + for (int i = 1; i <= n; i++) { + for (int j = 0; j < facA[i - 1].size(); j++) { + int k = lower_bound(primes.begin(), primes.end(), facA[i - 1][j]) - primes.begin(); + edges.push_back(Edge(n + k + 1, 1)); + edges.push_back(Edge(i, 0)); + graph[i].push_back(edges.size() - 2); + graph[n + k + 1].push_back(edges.size() - 1); + } + } + // Add edges from primes to B. + for (int i = 1 + n + primes.size(); i <= 2 * n + primes.size(); i++) { + for (int j = 0; j < facB[i - n - primes.size() - 1].size(); j++) { + int k = lower_bound(primes.begin(), primes.end(), facB[i - n - primes.size() - 1][j]) - primes.begin(); + edges.push_back(Edge(i, 1)); + edges.push_back(Edge(n + k + 1, 0)); + graph[n + k + 1].push_back(edges.size() - 2); + graph[i].push_back(edges.size() - 1); + } + } + + // Find augmenting paths and augment. + while (bfs(s, t)) { + last.assign(N, 0); + while (int flow = dfs(s, t, s, INT_MAX)) + total += flow; + } + return total; +} + +int main() +{ + ios_base::sync_with_stdio(0); + cin.tie(0); + int n; + cin >> n; + int A[n], B[n]; + for (int i = 0; i < n; i++) + cin >> A[i]; + for (int i = 0; i < n; i++) + cin >> B[i]; + sieve(); + cout << computerGame(n, A, B) << endl; + return 0; +} From 1b93f9cf27626cac422b4717f1beb9b4a7ddf077 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:27:50 +0530 Subject: [PATCH 097/276] Create solution.cpp --- .../moraXtreme2.0/Diagonal Warm Up/solution.cpp | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/solution.cpp diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/solution.cpp b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/solution.cpp new file mode 100644 index 0000000..1b1cb91 --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/solution.cpp @@ -0,0 +1,17 @@ +#include + +using namespace std; + +int main() { + int n, t; + long sum = 0; + cin >> n; + for (int i = 0; i < n; i++) + for (int j = 0; j < n; j++) { + cin >> t; + if (i == j || i == n - j - 1) + sum += t; + } + cout << sum; + return 0; +} From 08e8fd84f8bcbef9cc353f041dce56e87f8baa26 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:33:44 +0530 Subject: [PATCH 098/276] Create README.md --- .../moraXtreme2.0/Diagonal Warm Up/README.md | 34 +++++++++++++++++++ 1 file changed, 34 insertions(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md new file mode 100644 index 0000000..df4a8aa --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md @@ -0,0 +1,34 @@ +**Problem Statement** + +You are given a square matrix of integers. Sum up the numbers on the diagonals and output the sum. + +**Input Format** + +* First line contains the number of rows/columns of the matrix. +* Each next lines contains number of matrix elements separated by a single space character. + +**Constraints** + +* 2 <= N <= 300 +* 1 <= a_ij <= 10^8 + +**Output Format** + +* One line containing the sum of the diagonals of the matrix + +**Sample Input 0** +``` +3 +4 5 3 +8 5 7 +6 4 7 +``` +**Sample Output 0** +``` +25 +``` + +**Explanation 0** +``` +4 + 5 + 7 + 3 + 6 = 25 +``` From 654a38fddd802a946e9a9e7112b623586db276e1 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:36:02 +0530 Subject: [PATCH 099/276] Update README.md --- .../moraXtreme2.0/Diagonal Warm Up/README.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md index df4a8aa..e3c41ad 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md @@ -9,8 +9,8 @@ You are given a square matrix of integers. Sum up the numbers on the diagonals a **Constraints** -* 2 <= N <= 300 -* 1 <= a_ij <= 10^8 +* $2 \leq N \leq 300$ +* 1 \leq a_{ij} \leq 10^{8} **Output Format** @@ -30,5 +30,5 @@ You are given a square matrix of integers. Sum up the numbers on the diagonals a **Explanation 0** ``` -4 + 5 + 7 + 3 + 6 = 25 +$4 + 5 + 7 + 3 + 6 = 25$ ``` From bdbcf26f8d16fde6b6708c7fc74257bbb093a633 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:36:45 +0530 Subject: [PATCH 100/276] Update README.md --- .../moraXtreme2.0/Diagonal Warm Up/README.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md index e3c41ad..3d3dc23 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md @@ -9,8 +9,8 @@ You are given a square matrix of integers. Sum up the numbers on the diagonals a **Constraints** -* $2 \leq N \leq 300$ -* 1 \leq a_{ij} \leq 10^{8} +* $`2 \leq N \leq 300`$ +* $`1 \leq a_{ij} \leq 10^{8}`$ **Output Format** @@ -30,5 +30,5 @@ You are given a square matrix of integers. Sum up the numbers on the diagonals a **Explanation 0** ``` -$4 + 5 + 7 + 3 + 6 = 25$ +$`4 + 5 + 7 + 3 + 6 = 25`$ ``` From 8673d6c027da49e6f62b03a32cbc4c28941b21d7 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:38:35 +0530 Subject: [PATCH 101/276] Update README.md --- .../moraXtreme2.0/Diagonal Warm Up/README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md index 3d3dc23..9e62bbc 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md @@ -29,6 +29,6 @@ You are given a square matrix of integers. Sum up the numbers on the diagonals a ``` **Explanation 0** -``` -$`4 + 5 + 7 + 3 + 6 = 25`$ +```math +4 + 5 + 7 + 3 + 6 = 25 ``` From c70cdebcff91074a3567910eaef23673362193b4 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:39:02 +0530 Subject: [PATCH 102/276] Update README.md --- .../moraXtreme2.0/Diagonal Warm Up/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md index 9e62bbc..8dc4d7b 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md @@ -9,7 +9,7 @@ You are given a square matrix of integers. Sum up the numbers on the diagonals a **Constraints** -* $`2 \leq N \leq 300`$ +$`2 \leq N \leq 300`$ * $`1 \leq a_{ij} \leq 10^{8}`$ **Output Format** From fa404f9fcbcb73c980c75b5c83d6007efe3cbf82 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:43:21 +0530 Subject: [PATCH 103/276] Update README.md --- .../moraXtreme2.0/Diagonal Warm Up/README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md index 8dc4d7b..6a33081 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md @@ -9,8 +9,8 @@ You are given a square matrix of integers. Sum up the numbers on the diagonals a **Constraints** -$`2 \leq N \leq 300`$ -* $`1 \leq a_{ij} \leq 10^{8}`$ +* +* **Output Format** From d1b4ec6232084041c1076aa62b976e012f6a99e6 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:43:54 +0530 Subject: [PATCH 104/276] Update README.md --- .../moraXtreme2.0/Diagonal Warm Up/README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md index 6a33081..536606e 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md @@ -29,6 +29,6 @@ You are given a square matrix of integers. Sum up the numbers on the diagonals a ``` **Explanation 0** -```math -4 + 5 + 7 + 3 + 6 = 25 +``` + ``` From 6e273f8b6bec428b3bda919237dbd0da2b601f98 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:44:06 +0530 Subject: [PATCH 105/276] Update README.md --- .../moraXtreme2.0/Diagonal Warm Up/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md index 536606e..974b955 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md @@ -29,6 +29,6 @@ You are given a square matrix of integers. Sum up the numbers on the diagonals a ``` **Explanation 0** -``` +```math ``` From f367cddb06badc9de62f03d18444dd7faf88cb35 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:44:20 +0530 Subject: [PATCH 106/276] Update README.md --- .../moraXtreme2.0/Diagonal Warm Up/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md index 974b955..6a33081 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Diagonal Warm Up/README.md @@ -30,5 +30,5 @@ You are given a square matrix of integers. Sum up the numbers on the diagonals a **Explanation 0** ```math - +4 + 5 + 7 + 3 + 6 = 25 ``` From 81f92eb45f094c4e7011a1a7f9c10aeac3d2c10f Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:46:04 +0530 Subject: [PATCH 107/276] Create solution.py --- .../Help the Merchant/solution.py | 25 +++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Help the Merchant/solution.py diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Help the Merchant/solution.py b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Help the Merchant/solution.py new file mode 100644 index 0000000..df1417a --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Help the Merchant/solution.py @@ -0,0 +1,25 @@ +from sys import stdin, stdout + +INF = 1e9 +N, I = map(int, stdin.readline().split()) +cost = [[int(c) if c != 'X' else INF for c in stdin.readline().split()] for _ in range(N)] +profit = [[0] * I] + [list(map(int, stdin.readline().split())) for _ in range(N - 1)] +T = int(stdin.readline()) +for t in range(T): + items = list(map(int, stdin.readline().split())) + S = len(items) + dp = [[-INF] * S for _ in range(N)] + #Sell the last item + for i in range(N): + dp[i][S - 1] = profit[i][items[S - 1]] + + for k in range(S - 2, -1, -1): + for i in range(N): + for j in range(N): + dp[i][k] = max(dp[i][k], dp[j][k + 1] + profit[i][items[k]] - cost[i][j]) + + res = -INF + for i in range(1, N): + res = max(res, dp[i][0] - cost[0][i]) + + stdout.write('{}\n'.format(res)) From 3e02f9a286ccbe35da34200c2bec936919aae1ba Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:51:28 +0530 Subject: [PATCH 108/276] Update solution.py --- .../moraXtreme2.0/Help the Merchant/solution.py | 2 ++ 1 file changed, 2 insertions(+) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Help the Merchant/solution.py b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Help the Merchant/solution.py index df1417a..81b4e1c 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Help the Merchant/solution.py +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Help the Merchant/solution.py @@ -1,3 +1,5 @@ +# Problem: https://www.hackerrank.com/contests/moraxtreme-2/challenges/money-money-money + from sys import stdin, stdout INF = 1e9 From b260cdf7b253edbd4c25ebd2ddda910234c399ec Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:53:04 +0530 Subject: [PATCH 109/276] Create solution.cpp --- .../moraXtreme2.0/Gem Mining/solution.cpp | 65 +++++++++++++++++++ 1 file changed, 65 insertions(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/solution.cpp diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/solution.cpp b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/solution.cpp new file mode 100644 index 0000000..2f7a317 --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/solution.cpp @@ -0,0 +1,65 @@ +#include + +#define INF (int) 1e9 + +using namespace std; + +typedef pair> zone; + +class cmp +{ +public: + bool operator() (const zone &a, const zone &b) const + { + return (a.first > b.first); + } +}; + +int main() { + int n, p, xg, yg; + char c; + int prices[3]; + int dxdy[8][2] = {{0, 1}, {1, 1}, {1, 0}, {1, -1}, {0, -1}, {-1, -1}, {-1, 0}, {-1, 1}}; + cin >> n >> p; + int grid[n][n], cost[n][n]; + cin >> xg; + cin.ignore(); + cin >> yg; + for (int i = 0; i < 3; i++) { + if (cin.peek() == ',') + cin.ignore(); + cin >> prices[i]; + } + for (int i = 0; i < n; i++) + for (int j = 0; j < n; j++) { + cost[i][j] = INF; + cin >> c; + if (c == 's') + grid[i][j] = prices[0]; + else if (c == 'r') + grid[i][j] = prices[1]; + else if (c == 'w') + grid[i][j] = prices[2]; + else + grid[i][j] = 0; + } + cost[0][0] = 0; + priority_queue, cmp> q; + q.push({0, {0, 0}}); + + while (!q.empty()) { + zone currZone = q.top(); + q.pop(); + int x = currZone.second.first, y = currZone.second.second; + for (int i = 0; i < 8; i++) { + int x_n = x + dxdy[i][0], y_n = y + dxdy[i][1]; + if (x_n >= 0 && x_n < n && y_n >= 0 && y_n < n && cost[x_n][y_n] > cost[x][y] + grid[x_n][y_n]) { + cost[x_n][y_n] = cost[x][y] + grid[x_n][y_n]; + q.push({cost[x_n][y_n], {x_n, y_n}}); + } + } + } + + cout << p - cost[xg][yg]; + return 0; +} From 1bb9dfc3d23fc8240e31d3c875468d364fc26f28 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:56:19 +0530 Subject: [PATCH 110/276] Add files via upload --- .../moraXtreme2.0/Gem Mining/probem.png | Bin 0 -> 261186 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/probem.png diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/probem.png b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/probem.png new file mode 100644 index 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8efdf390f6f9d0c6f2ff733bae5dfd74b2693cc6 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 07:58:30 +0530 Subject: [PATCH 111/276] Create README.md --- .../moraXtreme Past Problems/moraXtreme2.0/Gem Mining/README.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/README.md diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/README.md new file mode 100644 index 0000000..1633c11 --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Gem Mining/README.md @@ -0,0 +1 @@ +![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Gem%20Mining/probem.png) From b0c8769bbba725627263dd9e8d98f26f6b2c69ac Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:01:33 +0530 Subject: [PATCH 112/276] Create solution.java --- .../Prime Challenge/solution.java | 52 +++++++++++++++++++ 1 file changed, 52 insertions(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/solution.java diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/solution.java b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/solution.java new file mode 100644 index 0000000..36a9f44 --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/solution.java @@ -0,0 +1,52 @@ +import java.io.*; +import java.util.*; +import java.math.BigInteger; + +public class Solution { + public static boolean[] sieve(int n) { + boolean prime[] = new boolean[n + 1]; + for(int i = 0; i < n; i++) + prime[i] = true; + for(int p = 2; p * p <= n; p++) + { + if(prime[p] == true) + { + for(int i = p * 2; i <= n; i += p) + prime[i] = false; + } + } + return prime; + } + + public static void main(String[] args) { + Scanner sc=new Scanner(System.in); + long N = sc.nextLong(); + StringBuffer sb = new StringBuffer(); + if (N <= Integer.MAX_VALUE / 10) { + N -= 3; + sb.append("3 "); + int n = (int) N; + boolean[] isPrime = sieve((int) n); + for (int i = 2; i < n; i++) + if (isPrime[i] && isPrime[n - i]) { + sb.append(i + " " + (n - i)); + break; + } + } + else { + BigInteger n = BigInteger.valueOf(N); + BigInteger xxx = n.subtract(new BigInteger("1000000")); + BigInteger nn = xxx.nextProbablePrime(); + n = n.subtract(nn); + int xx = Integer.parseInt(n.toString()); + sb.append(nn.toString() + " "); + boolean[] isPrime = sieve(xx); + for (int x = 2; x < xx; x++) + if (isPrime[x] && isPrime[xx - x]) { + sb.append(x + " " + (xx - x)); + break; + } + } + System.out.println(sb.toString()); + } +} From e687df3ed7209d60fe876db7826474b97cb30298 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:02:23 +0530 Subject: [PATCH 113/276] Create README.md --- codeBase/moraXtreme Past Problems/moraXtreme2.0/README.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/README.md diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/README.md new file mode 100644 index 0000000..865a8f4 --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/README.md @@ -0,0 +1 @@ +Link to the contest: https://www.hackerrank.com/contests/moraxtreme-2/ From 27036a7b60305f6a835a0396a7b5aed75f692f24 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:02:48 +0530 Subject: [PATCH 114/276] Add files via upload --- .../moraXtreme2.0/Prime Challenge/probem.png | Bin 0 -> 93022 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/probem.png diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/probem.png b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/probem.png new file mode 100644 index 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kb@bJ-9rS)F=6}_=4N4rrUQ3v${X1Y3arv4R&BE=`AI)!76aWAK literal 0 HcmV?d00001 From a1bddf34262ce9a464513a6df5238325a4641e21 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:03:26 +0530 Subject: [PATCH 115/276] Create README.md --- .../moraXtreme2.0/Prime Challenge/README.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/README.md diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/README.md new file mode 100644 index 0000000..1633c11 --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/README.md @@ -0,0 +1 @@ +![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Gem%20Mining/probem.png) From 1960f08610a5c87fb7d651356837f8f70630efba Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:03:51 +0530 Subject: [PATCH 116/276] Update README.md --- .../moraXtreme2.0/Prime Challenge/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/README.md index 1633c11..5d06d18 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Prime Challenge/README.md @@ -1 +1 @@ -![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Gem%20Mining/probem.png) +![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Prime%20Challenge/probem.png) From 03d6fd443760844d51a9a5449a5d6c4a03771a34 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:05:48 +0530 Subject: [PATCH 117/276] Create Solution.cpp --- .../moraXtreme2.0/Stranger Games/Solution.cpp | 44 +++++++++++++++++++ 1 file changed, 44 insertions(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/Solution.cpp diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/Solution.cpp b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/Solution.cpp new file mode 100644 index 0000000..327fa93 --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/Solution.cpp @@ -0,0 +1,44 @@ +#include + +#define INF (int) 1e9 + +using namespace std; + +int dfs(int u, vector graph[], bool visited[], int& count) { + visited[u] = true; + int currentCount = 0; + for (int v : graph[u]) { + if (!visited[v]) { + int subCount = dfs(v, graph, visited, count); + if (subCount % 2 == 0) + count++; + else + currentCount += subCount; + } + } + return currentCount + 1; +} + +int main() { + int N, M, n = 0; + cin >> N >> M; + vector graph[N]; + map m; + for (int i = 0; i < M; i++) { + string u, v; + cin >> u >> v; + if (m.find(u) == m.end()) + m[u] = n++; + if (m.find(v) == m.end()) + m[v] = n++; + graph[m.at(u)].push_back(m.at(v)); + graph[m.at(v)].push_back(m.at(u)); + } + bool visited[N]; + for (int i = 0; i < N; i++) + visited[i] = false; + int count = 0; + dfs(0, graph, visited, count); + cout << count + 1 << endl; + return 0; +} From 9c29504ef8808135e36d23fd95a28107286af402 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:06:01 +0530 Subject: [PATCH 118/276] Add files via upload --- .../moraXtreme2.0/Stranger Games/probem.png | Bin 0 -> 246087 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/probem.png diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/probem.png b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/probem.png new file mode 100644 index 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zu!q>m+*I)AK^!HkMM;TOuxNi7GZ$bq?qOOfvNPu27WxYt5nV+t&33Qh$?MBMcOJ=6 z4C>OBXwv_|EfiZa66!OIV@?sXC}MSPOsH{JT9G)*jfnNjxslKqhb9iDjhfd^9l6l2 z>Fbm+BEmN5;-lJkb-@(9+IH~Ib}mlJ+?ZlMM2AmZ9~7-iFjzR z40}r6MgixUB8Y)!Y#JJz_f^HcVeohTbtqXw9pT2aR_);O!pJ|hIUe)r)?e*Q#t9!5 z8z5$6bqihWhoO*lOLpQYNbC!wJ1gb+o#Kl`R#yq~S>!z@wHvn&pZf!9n$FT7gJH=I zRHKa|rN-t!{w<=Vh+9UNLl*Bh4R=@kq@_0Lnf9y|b;5yhGp_RdpzIJc$kCFUOBD2F z{#6J=W43Eu>~UGWgt9IbSV5@*!KmBtmq=bm9aHXKW|NjCt)V<6A literal 0 HcmV?d00001 From 64875e9449459891261abf66edee5798ad4f4187 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:07:07 +0530 Subject: [PATCH 119/276] Create README.md --- .../moraXtreme2.0/Stranger Games/README.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md new file mode 100644 index 0000000..2a4fd49 --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md @@ -0,0 +1 @@ +![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Stranger%20Games/Solution.cpp) From 9c14c1b604871c300b6eafe9b412b2f80c8833b9 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:07:26 +0530 Subject: [PATCH 120/276] Update README.md --- .../moraXtreme2.0/Stranger Games/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md index 2a4fd49..df5afa8 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md @@ -1 +1 @@ -![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Stranger%20Games/Solution.cpp) +![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Stranger%20Games/problem.png) From ed8c6108f44f0e91163e60ca2820c8d0c52f557d Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:08:08 +0530 Subject: [PATCH 121/276] Update README.md --- .../moraXtreme2.0/Stranger Games/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md index df5afa8..ed0bd7b 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Stranger Games/README.md @@ -1 +1 @@ -![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Stranger%20Games/problem.png) +![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Stranger%20Games/probem.png) From 4e9c25642f3185fb2f5e3d3f19f0dc402ec49ca4 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:09:40 +0530 Subject: [PATCH 122/276] Create solution.cpp --- .../Network Latency/solution.cpp | 50 +++++++++++++++++++ 1 file changed, 50 insertions(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/solution.cpp diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/solution.cpp b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/solution.cpp new file mode 100644 index 0000000..1e02fd7 --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/solution.cpp @@ -0,0 +1,50 @@ +#include + +#define MAXN 10000 + +using namespace std; + +vector primes; +long ways[MAXN + 1]; + +void sieve() { + bool prime[MAXN + 1]; + for (int i = 2; i * i <= MAXN; i++) + if (!prime[i]) + for (int j = i * i; j <= MAXN; j += i) + prime[j] = true; + for (int i = 2; i <= MAXN; i++) + if (!prime[i]) + primes.push_back(i); +} + +int count(int n) +{ + memset(ways, 0, sizeof(ways)); + ways[0] = 1; + for(int i = 0; i < (int) primes.size(); i++) + for(int j = primes[i]; j <= MAXN; j++) + ways[j] += ways[j - primes[i]]; + int left = 0, right = 80, res = -1; + ways[0] = ways[1] = 0; + while (left <= right) { + int mid = left + (right - left) / 2; + if (ways[mid] <= n) + left = mid + 1; + else { + right = mid - 1; + res = mid; + } + } + return res; +} + +int main() { + int n; + cin >> n; + sieve(); + cout << count(n) << endl; + // for (int i = 0; i <= MAXN; i++) + // cout << ways[i] << " "; + return 0; +} From a228fc4f65fddda636c0e3aeefcde6632470a8d8 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 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Create README.md --- .../moraXtreme2.0/Network Latency/README.md | 2 ++ 1 file changed, 2 insertions(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/README.md diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/README.md new file mode 100644 index 0000000..10793cd --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/README.md @@ -0,0 +1,2 @@ +![problem](![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Gem%20Mining/probem.png) +) From e9245195638c46da08dfa9658cd576f029fa2dfa Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Sat, 19 Sep 2020 08:10:54 +0530 Subject: [PATCH 125/276] Update README.md --- .../moraXtreme2.0/Network Latency/README.md | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/README.md index 10793cd..437ab17 100644 --- a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/README.md +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Network Latency/README.md @@ -1,2 +1 @@ -![problem](![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Gem%20Mining/probem.png) -) +![problem](https://github.com/sathiiii/codeBase/blob/patch-1/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Network%20Latency/problem.png) From 6388e64b8238461d1df280a6d5b39ccbcb0064de Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Mon, 28 Sep 2020 08:46:42 +0530 Subject: [PATCH 126/276] Create solution.cpp --- .../Game Theory/Game of Stones/solution.cpp | 39 +++++++++++++++++++ 1 file changed, 39 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Game Theory/Game of Stones/solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Game Theory/Game of Stones/solution.cpp b/codeBase/HackerRank/Algorithms/Game Theory/Game of Stones/solution.cpp new file mode 100644 index 0000000..cde2740 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Game Theory/Game of Stones/solution.cpp @@ -0,0 +1,39 @@ +/* + Copyright (C) 2020, Sathira Silva + + Link to the problem: https://www.hackerrank.com/challenges/game-of-stones-1/problem + + Approach: + (1). Identify the winning and losing states of the game: + This game differs from the 1 pile game because there are two losing states, + namely n = 0 and n = 1 in this game. + (2). Compute grundy numbers (or nimbers) for each state and try to come up with a general expression for nth state if possible: + g(0) = 0 | + g(1) = 0 | (Base Cases) + g(2) = mex({0}) = 1 <- Player can remove 2 stones and go to state1 + g(3) = mex({0}) = 1 <- Player can either remove 2 or 3 stones and go to state1 or state0 respectively + g(4) = mex({0, 1}) = 2 <- Player can either remove 2 or 3 stones and go to state2 or state1 + g(5) = mex({0, 1}) = 2 <- Player can remove 2, 3 or 5 stones and go to the states 3, 2 or 0 respectively + g(6) = mex({0, 1, 2}) = 3 + g(7) = mex({1, 2}) = 0 + g(8) = mex({1, 2, 3}) = 0 + g(9) = mex({0, 2, 3}) = 1 + g(10) = mex({0, 2, 3}) = 1 + ... and so on + + It can be observed that the pattern continues in mod 7. Thus, if n mod 7 is not 0 or 1, the game state is winning. +*/ + +#include + +using namespace std; + +int main() { + int t; + cin >> t; + for (int i = 0; i < t; i++) { + int n; + cin >> n; + cout << (n % 7 < 2 ? "Second" : "First") << endl; + } +} From e9fcda690be3189360834afb99a60d325d27020c Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Mon, 28 Sep 2020 11:42:17 +0530 Subject: [PATCH 127/276] Create solution.cpp --- .../Game Theory/Stone Division/solution.cpp | 49 +++++++++++++++++++ 1 file changed, 49 insertions(+) create mode 100644 codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp diff --git a/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp b/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp new file mode 100644 index 0000000..ae0cbc9 --- /dev/null +++ b/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp @@ -0,0 +1,49 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Link to the problem: https://www.hackerrank.com/challenges/stone-division/problem + + Approach: + (1). Identify the winning / losing states of the game: + If there doesn't exist a number s in the in the set S such that s divides n, it is a loosing state. Otherwise, the game divides into n / s equivalent games (because a + single pile splits into n / s equal piles). So, the grundy number of the total game is the nim-sum (XOR sum) of those equivalent games. Thus, if there exists such s + and n / s is even (i.e. n is even), after the split the nim-sum will be 0 (Hence, it's a winning state). Otherwise, g(n / s) where g is the grundy function for the game. + Therefore, if n is odd, after a split we can think of the game as a single pile of size n / s. If the n / s state is a losing state (i.e g(n / s) = 0), n is a winning + state. + (2). Compute grundy numbers: + Clearly, the grundy number of a state n (a pile of size n) is g(n) = 0 if there is no number in set S that divides n. Otherwise, an expression can be formulated as + winning(n) = (n % 2 == 0) or winning(n / s). Therefore, when there exists an s in S such that s | n we have to use dynamic programming with memoization to compute + the result since the expression for winning(n) is recursive. + + (In conclusion, we didn't have to compute the grundy numbers actually. We only checked whether the grundy number of the state after a split is 0 or not) +*/ + +#include + +using namespace std; + +map memo; +vector S; + +bool solve(long long n) { + if (memo.find(n) != memo.end()) + return memo[n]; + memo[n] = false; + for (long long s : S) { + if (n % s != 0) // s is not a divisor of n + continue; + if (n % 2 == 0 || !solve(n / s)) + memo[n] = true; + } + return memo[n]; +} + +int main() { + long long n; + int m; + cin >> n >> m; + S.resize(m); + for (int i = 0; i < m; i++) + cin >> S[i]; + cout << (solve(n) ? "First" : "Second") << endl; +} From 9d103b6507901eebfb14137d143af263d523f685 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Mon, 28 Sep 2020 16:36:03 +0530 Subject: [PATCH 128/276] Update solution.cpp --- .../Algorithms/Game Theory/Stone Division/solution.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp b/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp index ae0cbc9..fe6f361 100644 --- a/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp +++ b/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp @@ -5,8 +5,8 @@ Approach: (1). Identify the winning / losing states of the game: - If there doesn't exist a number s in the in the set S such that s divides n, it is a loosing state. Otherwise, the game divides into n / s equivalent games (because a - single pile splits into n / s equal piles). So, the grundy number of the total game is the nim-sum (XOR sum) of those equivalent games. Thus, if there exists such s + If there doesn't exist a number s in the in the set S such that s divides n, it is a loosing state. Otherwise, the game divides into s equivalent games (because a + single pile splits into s equal piles of size n / s). So, the grundy number of the total game is the nim-sum (XOR sum) of those equivalent games. Thus, if there exists such s and n / s is even (i.e. n is even), after the split the nim-sum will be 0 (Hence, it's a winning state). Otherwise, g(n / s) where g is the grundy function for the game. Therefore, if n is odd, after a split we can think of the game as a single pile of size n / s. If the n / s state is a losing state (i.e g(n / s) = 0), n is a winning state. From d8c44dd2166c72c68d5f68f091574305ba5c8df3 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Thu, 1 Oct 2020 10:45:54 +0530 Subject: [PATCH 129/276] Update solution.cpp --- .../Algorithms/Game Theory/Stone Division/solution.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp b/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp index fe6f361..23c9d37 100644 --- a/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp +++ b/codeBase/HackerRank/Algorithms/Game Theory/Stone Division/solution.cpp @@ -12,7 +12,7 @@ state. (2). Compute grundy numbers: Clearly, the grundy number of a state n (a pile of size n) is g(n) = 0 if there is no number in set S that divides n. Otherwise, an expression can be formulated as - winning(n) = (n % 2 == 0) or winning(n / s). Therefore, when there exists an s in S such that s | n we have to use dynamic programming with memoization to compute + winning(n) = (n % 2 == 0) or NOT winning(n / s). Therefore, when there exists an s in S such that s | n we have to use dynamic programming with memoization to compute the result since the expression for winning(n) is recursive. (In conclusion, we didn't have to compute the grundy numbers actually. We only checked whether the grundy number of the state after a split is 0 or not) From 690e22cb3a8958dd74c39af679fd8fff0e9d7320 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Fri, 2 Oct 2020 15:35:50 +0530 Subject: [PATCH 130/276] Create solution.py --- .../Cubes Cubes Everywhere/solution.py | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Cubes Cubes Everywhere/solution.py diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Cubes Cubes Everywhere/solution.py b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Cubes Cubes Everywhere/solution.py new file mode 100644 index 0000000..2049dcc --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Cubes Cubes Everywhere/solution.py @@ -0,0 +1,18 @@ +def sumOfCubes(n): + return ((n * (n + 1) // 2) % 10000000000 * (n * (n + 1) // 2) % 10000000000) % 10000000000 + +t = int(input()) +for _ in range(t): + n = int(input()) + res = 0 + for i in range(1, n + 1): + d = n // i + if d >= i: + res += sumOfCubes(d) + else: + i -= 1 + lastd = n // i + res += sum(((j ** 3) % 10000000000 * (n // j - i) % 10000000000) % 10000000000 for j in range(1, lastd)) + break + res = res % 10000000000 + print(res % 1000000000) From 1d2602974f2a7b0322cc4bf95ac70c70e2acdeaa Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Fri, 2 Oct 2020 15:38:25 +0530 Subject: [PATCH 131/276] Add files via upload --- .../Cubes Cubes Everywhere/problem.jpg | Bin 0 -> 464358 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme2.0/Cubes Cubes Everywhere/problem.jpg diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Cubes Cubes Everywhere/problem.jpg b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Cubes Cubes Everywhere/problem.jpg new file mode 100644 index 0000000000000000000000000000000000000000..ac68d7126809841af90a68962a695e9b311476b5 GIT binary patch literal 464358 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Problems/moraXtreme2.0/Cubes Cubes Everywhere/README.md diff --git a/codeBase/moraXtreme Past Problems/moraXtreme2.0/Cubes Cubes Everywhere/README.md b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Cubes Cubes Everywhere/README.md new file mode 100644 index 0000000..019e2e3 --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme2.0/Cubes Cubes Everywhere/README.md @@ -0,0 +1 @@ +![problem](https://github.com/sathiiii/codeBase/blob/master/codeBase/moraXtreme%20Past%20Problems/moraXtreme2.0/Cubes%20Cubes%20Everywhere/problem.jpg) From 99fa2dd06829c92570c914771f90fc63c6fff265 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Fri, 2 Oct 2020 19:48:31 +0530 Subject: [PATCH 133/276] Create solution.cpp --- .../Fair and Square/solution.cpp | 32 +++++++++++++++++++ 1 file changed, 32 insertions(+) create mode 100644 codeBase/moraXtreme Past Problems/moraXtreme1.0/Fair and Square/solution.cpp diff --git a/codeBase/moraXtreme Past Problems/moraXtreme1.0/Fair and Square/solution.cpp b/codeBase/moraXtreme Past Problems/moraXtreme1.0/Fair and Square/solution.cpp new file mode 100644 index 0000000..1a55bfb --- /dev/null +++ b/codeBase/moraXtreme Past Problems/moraXtreme1.0/Fair and Square/solution.cpp @@ -0,0 +1,32 @@ +/* + Copyright (C) 2020, Sathira Silva. + + Link to the problem: https://www.hackerrank.com/contests/moraxtreme1/challenges/fair-and-square + + Approach: Any number can be represented as the sum of perfect squares. Since a number N can always be expressed as the sum of squares of 1, the maximum count of perfect squares + that sums to N is N for any number N. But that can be minimized for numbers larger than 3. Let count(x) = minimum number of perfect squares that sums to x. + Thus, count(x) = x if x <= 3; min(x, 1 + count(x - i * i) for i in range(1, ceiling(sqrt(x))) Otherwise) where i * i is a perfect square less than x. + Therefore, a dynamic programming approach can be used to efficiently calculate the count. +*/ + +#include + +using namespace std; + +int main() { + int t; + cin >> t; + int count[20001]; + count[0] = 1, count[1] = 2, count[2] = 3, count[3] = 3; // Base Cases + for (int n = 4; n <= 20000; n++) { + count[n] = n; // n can be always represented as sum of n square of 1s and it's the maximum perfect square count + for (int i = 1; i * i <= n; i++) + count[n] = min(count[n], 1 + count[n - i * i]); + } + for (int tt = 0; tt < t; tt++) { + int a; + cin >> a; + cout << count[a] << endl; + } + return 0; +} From 4d98570eb202faa59f8db4b6cc5b0519f1bc9992 Mon Sep 17 00:00:00 2001 From: Sathira Silva Date: Fri, 2 Oct 2020 20:41:07 +0530 Subject: [PATCH 134/276] Add files via upload --- 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