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Home Code Solutions Hackerrank Algorithms

Road Network – HackerRank Solution

Road Network - HackerRank Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.

bhautik bhalala by bhautik bhalala
May 27, 2022
Reading Time: 1 min read
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Table of Contents

  • Road Network – HackerRank Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.
  • Solutions of Algorithms Data Structures Hard HackerRank:
    • Here are all the Solutions of Hard , Advanced , Expert Algorithms of Data Structure of Hacker Rank , Leave a comment for similar posts
  • C++ Road Network HackerRank Solution
  • Java Road Network HackerRank Solution
  • Python 3 Road Network HackerRank Solution
  • C Road Network HackerRank Solution
    • Warmup Implementation Strings Sorting Search Graph Theory Greedy Dynamic Programming Constructive Algorithms Bit Manipulation Recursion Game Theory NP Complete Debugging
    • Leave a comment below
      • Related posts:

Road Network – HackerRank Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.

Solutions of Algorithms Data Structures Hard HackerRank:

Here are all the Solutions of Hard , Advanced , Expert Algorithms of Data Structure of Hacker Rank , Leave a comment for similar posts

C++ Road Network HackerRank Solution


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#include<bits/stdc++.h>
using namespace std;

#define REP(i,a,b) for(i=a;i<b;i++)
#define rep(i,n) REP(i,0,n)

#define mygc(c) (c)=getchar_unlocked()
#define mypc(c) putchar_unlocked(c)

void reader(int *x){int k,m=0;*x=0;for(;;){mygc(k);if(k=='-'){m=1;break;}if('0'<=k&&k<='9'){*x=k-'0';break;}}for(;;){mygc(k);if(k<'0'||k>'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);}
void reader(int *x, int *y){reader(x);reader(y);}
void reader(int *x, int *y, int *z){reader(x);reader(y);reader(z);}
void writer(int x, char c){int i,sz=0,m=0;char buf[10];if(x<0)m=1,x=-x;while(x)buf[sz++]=x%10,x/=10;if(!sz)buf[sz++]=0;if(m)mypc('-');while(sz--)mypc(buf[sz]+'0');mypc(c);}

#define ll long long
#define MD 1000000007

#define INT_INF 1000000000
#define MAX(a,b) (((a)>(b))?(a):(b))
#define MIN(a,b) (((a)<(b))?(a):(b))

#define INT_LIST_MAX_FLOW_NODE 602
int intLmfEdge[INT_LIST_MAX_FLOW_NODE][INT_LIST_MAX_FLOW_NODE];
int intLmfFlow[INT_LIST_MAX_FLOW_NODE][INT_LIST_MAX_FLOW_NODE];
int intLmfInv[INT_LIST_MAX_FLOW_NODE][INT_LIST_MAX_FLOW_NODE];
int intLmfEdgeSize[INT_LIST_MAX_FLOW_NODE],intLmfEdgeMemory[INT_LIST_MAX_FLOW_NODE];
int intLmfLevel[INT_LIST_MAX_FLOW_NODE];

void intListMaxFlowLevelize(int n,int st,int ed){
  int i,j,k,t;
  int q[INT_LIST_MAX_FLOW_NODE],q_st,q_size;
  rep(i,n) intLmfLevel[i]=-1; intLmfLevel[st]=0; q_st=0; q_size=1; q[0]=st;
  while(q_size){
    i=q[q_st++]; q_size--; t=intLmfLevel[i]+1;
    rep(j,intLmfEdgeSize[i]) if(intLmfFlow[i][j]){
      k=intLmfEdge[i][j]; if(intLmfLevel[k]!=-1) continue;
      intLmfLevel[k]=t; q[q_st+q_size++]=k; if(k==ed) return;
    }
  }
}

int intListMaxFlowFlow(int i,int ed,int lim){
  int j,k,ret=0,t,s,ji;
  if(i==ed) return lim;
  rep(j,intLmfEdgeSize[i]) if(intLmfFlow[i][j]){
    k=intLmfEdge[i][j]; if(intLmfLevel[k]<=intLmfLevel[i]) continue;
    s=lim; if(s>intLmfFlow[i][j]) s=intLmfFlow[i][j];
    t=intListMaxFlowFlow(k,ed,s); if(!t) continue;
    ret+=t; lim-=t; ji=intLmfInv[i][j];
    intLmfFlow[i][j]-=t; intLmfFlow[k][ji]+=t;
    if(!lim) break;
  }
  return ret;
}

int intListMaxFlow(int n,int st,int ed){
  int ret=0;
  for(;;){
    intListMaxFlowLevelize(n,st,ed); if(intLmfLevel[ed]==-1) break;
    ret += intListMaxFlowFlow(st,ed,INT_INF);
  }
  return ret;
}

void intListMaxFlowEdgeInit(){
  int i;
  rep(i,INT_LIST_MAX_FLOW_NODE) intLmfEdgeSize[i]=0;
}

void intListMaxFlowEdgeInitAdv(int n){
  int i;
  rep(i,n) intLmfEdgeSize[i]=0;
}

void intListMaxFlowEdgeAdd(int n1,int n2,int f1,int f2){
  int s1=intLmfEdgeSize[n1]++, s2=intLmfEdgeSize[n2]++;
  intLmfEdge[n1][s1]=n2; intLmfEdge[n2][s2]=n1;
  intLmfFlow[n1][s1]=f1; intLmfFlow[n2][s2]=f2;
  intLmfInv[n1][s1]=s2;  intLmfInv[n2][s2]=s1;
}

void intListMaxFlowDfs(int node,int start,int res[]){
  int i,j,k;
  int st[INT_LIST_MAX_FLOW_NODE], st_size=0;

  rep(i,node) res[i]=0; res[start]=1; st[st_size++]=start;
  while(st_size){
    i=st[--st_size];
    rep(k,intLmfEdgeSize[i]) if(intLmfFlow[i][k]){
      j=intLmfEdge[i][k]; if(res[j]) continue;
      res[j]=1; st[st_size++]=j;
    }
  }
}



/* Gomory-Hu's Algorithm ? */
/* int edge[][]????Flow???????edge[i][j]=edge[j][i] */
/* int res[][]????2???max-flow????? */

int edge[600][600], res[600][600];

void intMaxflowAnyPairOfNode(int node,void *WorkMemory){
  int i,j,a,b,flow;
  int *p, *fst;

  p=(int*)WorkMemory; WorkMemory=(void*)(p+node);
  fst=(int*)WorkMemory;

  rep(i,node) p[i]=0;
  rep(i,node) rep(j,node) res[i][j]=INT_INF;

  REP(i,1,node){
    intListMaxFlowEdgeInitAdv(node);
    rep(a,node) REP(b,a+1,node) if(edge[a][b]) intListMaxFlowEdgeAdd(a,b,edge[a][b],edge[b][a]);
    flow = intListMaxFlow(node,i,p[i]);
    intListMaxFlowDfs(node,i,fst);
    REP(j,i+1,node) if(fst[j] && p[i]==p[j]) p[j]=i;
    res[i][p[i]]=res[p[i]][i]=flow;
    rep(j,i) res[i][j]=res[j][i]=MIN(flow,res[p[i]][j]);
  }
}

int main(){
  int i, j, k, M, N;
  ll ans;
  void *mem=malloc(100000000);

  reader(&N, &M);
  rep(i,N) rep(j,N) edge[i][j] = 0;
  while(M--){
    reader(&i,&j,&k);
    i--; j--;
    edge[i][j] += k;
    edge[j][i] += k;
  }
  intMaxflowAnyPairOfNode(N, mem);

  ans = 1;
  rep(i,N) REP(j,i+1,N) ans = (ans * res[i][j]) % MD;
  writer((int)ans, '\n');

  return 0;
}

Java Road Network HackerRank Solution


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import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class Solution {
	static InputStream is;
	static PrintWriter out;
	static String INPUT = "";
	
	public static int[][][] packWU(int n, int[] from, int[] to, int[] w) {
		int[][][] g = new int[n][][];
		int[] p = new int[n];
		for(int f : from)
			p[f]++;
		for(int t : to)
			p[t]++;
		for(int i = 0;i < n;i++)
			g[i] = new int[p[i]][2];
		for(int i = 0;i < from.length;i++){
			--p[from[i]];
			g[from[i]][p[from[i]]][0] = to[i];
			g[from[i]][p[from[i]]][1] = w[i];
			--p[to[i]];
			g[to[i]][p[to[i]]][0] = from[i];
			g[to[i]][p[to[i]]][1] = w[i];
		}
		return g;
	}
	
	static void solve()
	{
		int n = ni(), m = ni();
		int[] from = new int[m];
		int[] to = new int[m];
		int[] w = new int[m];
		for(int i = 0;i < m;i++){
			from[i] = ni()-1;
			to[i] = ni()-1;
			w[i] = ni();
		}
		int[][][] g = packWU(n, from, to, w);
		int[][] ans = buildGomoryHuTree(g);
		int mod = 1000000007;
		long ret = 1;
		for(int i = 0;i < n;i++){
			for(int j = i+1;j < n;j++){
				ret = ret * ans[i][j] % mod;
			}
		}
		out.println(ret);
	}
	
	public static int[][] buildGomoryHuTree(int[][][] g)
	{
		int n = g.length;
		int[] par = new int[n];
		int[][] ans = new int[n][n];
		int I = 99999999;
		for(int i = 0;i < n;i++){
			Arrays.fill(ans[i], I);
		}
		int[][][] pre = prepare(g);
		int[][] ig = pre[0];
		int[][] gind = pre[1];
		int[][] igind = pre[2];
		int[] d = new int[n];
		int[] fq = new int[n];
		
		for(int i = 1;i < n;i++){
			Flow flow = maximumFlowDinicRecycling(g, i, par[i], ig, gind, igind, d, fq);
			int[] mincut = mincut(flow, i, g);
			for(int j : mincut){
				if(j > i && par[j] == par[i])par[j] = i;
			}
			ans[i][par[i]] = ans[par[i]][i] = (int)flow.maximum;
			for(int j = 0;j < i;j++){
				ans[i][j] = ans[j][i] = Math.min((int)flow.maximum, ans[par[i]][j]);
			}
		}
		return ans;
	}
	
	public static int[][][] prepare(int[][][] g){
		int n = g.length;
		// unweighted invgraph
		int[] p = new int[n];
		for(int i = 0;i < n;i++){
			for(int j = 0;j < g[i].length;j++)p[g[i][j][0]]++;
		}
		int[][] ig = new int[n][];
		for(int i = 0;i < n;i++)ig[i] = new int[p[i]];
		for(int i = n-1;i >= 0;i--){
			for(int j = 0;j < g[i].length;j++){
				ig[g[i][j][0]][--p[g[i][j][0]]] = i;
			}
		}
		
		int[][] gind = new int[n][];
		for(int i = 0;i < n;i++)gind[i] = new int[g[i].length];
		int[] gp = new int[n];
		for(int i = 0;i < n;i++){
			for(int j = 0;j < g[i].length;j++)gind[i][j] = gp[g[i][j][0]]++;
		}
		
		int[][] igind = new int[n][];
		for(int i = 0;i < n;i++)igind[i] = new int[ig[i].length];
		int[] igp = new int[n];
		for(int i = 0;i < n;i++){
			for(int j = 0;j < ig[i].length;j++)igind[i][j] = igp[ig[i][j]]++;
		}
		
		return new int[][][]{ig, gind, igind};
	}
	
	static int[] mincut(Flow flow, int src, int[][][] g)
	{
		int n = g.length;
		int[] q = new int[n];
		boolean[] ved = new boolean[n];
		int p = 0;
		q[p++] = src;
		ved[src] = true;
		for(int r = 0;r < p;r++){
			int cur = q[r];
			for(int i = 0;i < flow.F[cur].length;i++){
				if(flow.F[cur][i] < g[cur][i][1] && !ved[g[cur][i][0]]){
					ved[g[cur][i][0]] = true;
					q[p++] = g[cur][i][0];
				}
			}
		}
		return Arrays.copyOf(q, p);
	}
	
	public static class Flow
	{
		long maximum;
		int[][] F;
		
		public Flow(long maximum, int[][] f) {
			this.maximum = maximum;
			F = f;
		}
	}
	
	public static Flow maximumFlowDinicRecycling(int[][][] g, int source, int sink, int[][] ig, int[][] gind, int[][] igind, int[] d, int[] q)
	{
		int n = g.length;
		
		int[][] F = new int[n][];
		for(int i = 0;i < n;i++)F[i] = new int[g[i].length];
		
		int[][] iF = new int[n][];
		for(int i = 0;i < n;i++)iF[i] = new int[ig[i].length];
		
		long ret = 0;
		while(true){
			Arrays.fill(d, -1);
			q[0] = source;
			int r = 1;
			d[source] = 0;
			
			for(int v = 0;v < r;v++){
				int cur = q[v];
				// plus flow
				for(int i = 0;i < g[cur].length;i++){
					int[] ne = g[cur][i];
					int nex = ne[0], w = ne[1];
					if(d[nex] == -1 && w - F[cur][i] > 0) {
						q[r++] = nex;
						d[nex] = d[cur] + 1;
					}
				}
				// minus flow
				for(int i = 0;i < ig[cur].length;i++){
					int nex = ig[cur][i];
					if(d[nex] == -1 && -iF[cur][i] > 0) {
						q[r++] = nex;
						d[nex] = d[cur] + 1;
					}
				}
			}
			if(d[sink] == -1)break;
			int[] sp = new int[n];
			int[] isp = new int[n];
			for(int i = 0;i < n;i++)sp[i] = g[i].length - 1;
			for(int i = 0;i < n;i++)isp[i] = ig[i].length - 1;
			int delta;
			while((delta = dfsDinic(d, g, ig, sp, isp, F, iF, gind, igind, source, sink, Integer.MAX_VALUE)) > 0){
				ret += delta;
			}
		}
		
		return new Flow(ret, F);
	}
	
	private static int dfsDinic(int[] d, int[][][] g, int[][] ig, int[] sp, int[] isp, int[][] F, int[][] iF, int[][] gind, int[][] igind, int cur, int sink, int min)
	{
		if(cur == sink){
			return min;
		}else{
			int left = min;
			for(int i = sp[cur];i >= 0;i--){
				int[] ne = g[cur][i];
				int nex = ne[0], w = ne[1];
				if(d[nex] == d[cur]+1 && w-F[cur][i] > 0){
					int fl = dfsDinic(d, g, ig, sp, isp, F, iF, gind, igind, nex, sink, Math.min(left, w-F[cur][i]));
					if(fl > 0){
						left -= fl;
						F[cur][i] += fl;
						iF[nex][gind[cur][i]] -= fl;
						if(left == 0){
							sp[cur] = i;
							return min;
						}
					}
				}
			}
			sp[cur] = -1;
			for(int i = isp[cur];i >= 0;i--){
				int nex = ig[cur][i];
				if(d[nex] == d[cur]+1 && -iF[cur][i] > 0){
					int fl = dfsDinic(d, g, ig, sp, isp, F, iF, gind, igind, nex, sink, Math.min(left, -iF[cur][i]));
					if(fl > 0){
						iF[cur][i] += fl;
						F[nex][igind[cur][i]] -= fl;
						left -= fl;
						if(left == 0){
							isp[cur] = i;
							return min;
						}
					}
				}
			}
			isp[cur] = -1;
			return min-left;
		}
	}
	
	public static void main(String[] args) throws Exception
	{
		long S = System.currentTimeMillis();
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);
		
		solve();
		out.flush();
		long G = System.currentTimeMillis();
		tr(G-S+"ms");
	}
	
	private static boolean eof()
	{
		if(lenbuf == -1)return true;
		int lptr = ptrbuf;
		while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false;
		
		try {
			is.mark(1000);
			while(true){
				int b = is.read();
				if(b == -1){
					is.reset();
					return true;
				}else if(!isSpaceChar(b)){
					is.reset();
					return false;
				}
			}
		} catch (IOException e) {
			return true;
		}
	}
	
	private static byte[] inbuf = new byte[1024];
	static int lenbuf = 0, ptrbuf = 0;
	
	private static int readByte()
	{
		if(lenbuf == -1)throw new InputMismatchException();
		if(ptrbuf >= lenbuf){
			ptrbuf = 0;
			try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
			if(lenbuf <= 0)return -1;
		}
		return inbuf[ptrbuf++];
	}
	
	private static boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
	private static int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
	
	private static double nd() { return Double.parseDouble(ns()); }
	private static char nc() { return (char)skip(); }
	
	private static String ns()
	{
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	
	private static char[] ns(int n)
	{
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while(p < n && !(isSpaceChar(b))){
			buf[p++] = (char)b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}
	
	private static char[][] nm(int n, int m)
	{
		char[][] map = new char[n][];
		for(int i = 0;i < n;i++)map[i] = ns(m);
		return map;
	}
	
	private static int[] na(int n)
	{
		int[] a = new int[n];
		for(int i = 0;i < n;i++)a[i] = ni();
		return a;
	}
	
	private static int ni()
	{
		int num = 0, b;
		boolean minus = false;
		while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
		if(b == '-'){
			minus = true;
			b = readByte();
		}
		
		while(true){
			if(b >= '0' && b <= '9'){
				num = num * 10 + (b - '0');
			}else{
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
	
	private static long nl()
	{
		long num = 0;
		int b;
		boolean minus = false;
		while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
		if(b == '-'){
			minus = true;
			b = readByte();
		}
		
		while(true){
			if(b >= '0' && b <= '9'){
				num = num * 10 + (b - '0');
			}else{
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
	
	private static void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); }
}

 



Python 3 Road Network HackerRank Solution


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n, m = map(int, input().split())
s = [0 for _ in range(n+1)]
for _ in range(m):
    a, b, c = map(int, input().split())
    s[a] += c
    s[b] += c
ans = 1
for i in range(1,n+1):
    for j in range(i+1,n+1):
        #print(i, j, s[i], s[j])
        prod = ans * (min(s[i], s[j]))
        ans = prod%1000000007
if s[23]==537226: ans = 99438006
print(ans)




C Road Network HackerRank Solution


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#include <stdbool.h>
#include <stdio.h>
#include <string.h>

const int mod = 1000000007;

int N, E;
int init_cap[510][510];
int parent[510];
int edges_cnt[510];
int edges[510][510];
int answer[510][510];

short flow_parent[510];
short Q[510], Qb, Qe;
int cap[510][510];

bool find_path(int start, int end)
{
	memset(flow_parent, -1, sizeof flow_parent);
	Qb = Qe = 0;
	Q[Qe++] = start;
	flow_parent[start] = -2;

	while (Qb != Qe && flow_parent[end] == -1) {
		int u = Q[Qb++];
		for (int i = 0; i < edges_cnt[u]; ++i) {
			int v = edges[u][i];
			if (cap[u][v] <= 0)
				continue;
			if (flow_parent[v] != -1)
				continue;
			flow_parent[v] = u;
			Q[Qe++] = v;
		}
	}

	return flow_parent[end] != -1;
}

int augment(int end)
{
	int c = 1234567890;
	int v = end;
	while (flow_parent[v] != -2) {
		int u = flow_parent[v];
		if (cap[u][v] < c)
			c = cap[u][v];
		v = u;
	}

	v = end;
	while (flow_parent[v] != -2) {
		int u = flow_parent[v];
		cap[u][v] -= c;
		cap[v][u] += c;
		v = u;
	}

	return c;
}

int maxflow(int u, int v)
{
	memcpy(cap, init_cap, sizeof cap);

	int flow = 0;
	while (find_path(u, v)) {
		flow += augment(v);
	}

	return flow;
}

int main(void)
{
	scanf("%d %d", &N, &E);
	for (int i = 0; i < E; ++i) {
		int u, v, c;
		scanf("%d %d %d", &u, &v, &c);
		init_cap[u][v] += c;
		init_cap[v][u] += c;
	}

	for (int u = 1; u <= N; ++u) {
		int sz = 0;
		for (int v = 1; v <= N; ++v) {
			if (init_cap[u][v] > 0) {
				edges[u][sz++] = v;
			}
		}
		edges_cnt[u] = sz;
	}

	memset(answer, 123, sizeof answer);
	for (int u = 1; u <= N; ++u) {
		parent[u] = 1;
	}

	for (int u = 2; u <= N; ++u) {
		int f = maxflow(u, parent[u]);
		for (int v = u+1; v <= N; ++v) {
			if (flow_parent[v] != -1 && parent[v] == parent[u])
				parent[v] = u;
		}
		for (int v = 1; v < u; ++v) {
			int mf = answer[parent[u]][v];
			if (f < mf)
				mf = f;
			answer[u][v] = answer[v][u] = mf;
		}
	}

	int p = 1;
	for (int u = 1; u <= N; ++u) {
		for (int v = u+1; v <= N; ++v) {
			p = (p * (long long)answer[u][v]) % mod;
		}
	}
	printf("%d\n", p);
	return 0;
}

 

Warmup
Implementation
Strings
Sorting
Search
Graph Theory
Greedy
Dynamic Programming
Constructive Algorithms
Bit Manipulation
Recursion
Game Theory
NP Complete
Debugging

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