Submission #166097

# Submission time Handle Problem Language Result Execution time Memory
166097 2019-11-30T16:48:03 Z DavidDamian Tropical Garden (IOI11_garden) C++11
100 / 100
2896 ms 36792 KB
#include "garden.h"
#include "gardenlib.h"
#include <iostream>
#include<vector>
using namespace std;
///Duplicate nodes
///Directed graph
///Determine the number of nodes that can follow a path and end in P in exactly K steps
vector<int> adjList[300005];
vector<int> original[150005];
short vis[300005];
void buildGraph(int N) ///Creates duplicated and reversed graph 
{
  	///Real node uses its prncipal edge
  	///Duplicated node uses its secondary edge
    for(int u=0;u<N;u++){
        int v=original[u][0]; //Principal edge
        if(original[v][0]!=u || original[v].size()==1){
            adjList[v].push_back(u);
        }
        else{
            adjList[v+N].push_back(u);
        }
        if(original[u].size()==1) continue;
        v=original[u][1]; //Secondary edge
        if(original[v][0]!=u || original[v].size()==1){
            adjList[v].push_back(u+N);
        }
        else{
            adjList[v+N].push_back(u+N);
        }
    }
}
int color[300005];
int d[300005][2];
int C[2]={-1,-1}; //Cycle Size
int inCycle[2];
int t=0;
void dfs(int u) ///Computes distance from P and P+N (duplicated node) to all nodes
{
    color[u]=1;
    for(int v: adjList[u]){
        if(color[v]==0){
            d[v][t]=d[u][t]+1;
            dfs(v);
        }
        else if(color[v]==1){ //P/P+N is on a cycle
            C[t]=d[u][t]+1;
            inCycle[t]=1;
        }
    }
    color[u]=-1;
}
void count_routes(int N, int M, int P, int R[][2], int Q, int G[])
{
    for(int i=0;i<M;i++){
        int u=R[i][0];
        int v=R[i][1];
        original[u].push_back(v);
        original[v].push_back(u);
    }
    buildGraph(N);
    for(int i=0;i<2*N;i++){
        d[i][0]=d[i][1]=1000000000;
    }
    d[P][0]=0;
    dfs(P);
    t++;
    for(int i=0;i<2*N;i++){
        color[i]=0;
    }
    d[P+N][1]=0;
    dfs(P+N);
    for(int i=0;i<Q;i++){ //For each query
        int k=G[i];
        int total=0;
        for(int u=0;u<N;u++){ //For each node
            for(int j=0;j<2;j++){ //Checks if the distance is 0 modulo C
                if(d[u][j]==1000000000) continue; //Not reachable
                if(inCycle[j]){ //Cycle
                    int D=k-d[u][j];
                    if(D>=0){
                        if(D%C[j]==0) total++;
                    }
                }
                else{
                    int D=k-d[u][j]; //Distance is exactly the same
                    if(D==0) total++;
                }
            }
        }
        answer(total);
    }

}
# Verdict Execution time Memory Grader output
1 Correct 12 ms 11100 KB Output is correct
2 Correct 12 ms 11036 KB Output is correct
3 Correct 12 ms 11128 KB Output is correct
4 Correct 12 ms 10920 KB Output is correct
5 Correct 11 ms 10872 KB Output is correct
6 Correct 12 ms 11128 KB Output is correct
7 Correct 11 ms 11000 KB Output is correct
8 Correct 12 ms 10996 KB Output is correct
9 Correct 15 ms 11140 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 11100 KB Output is correct
2 Correct 12 ms 11036 KB Output is correct
3 Correct 12 ms 11128 KB Output is correct
4 Correct 12 ms 10920 KB Output is correct
5 Correct 11 ms 10872 KB Output is correct
6 Correct 12 ms 11128 KB Output is correct
7 Correct 11 ms 11000 KB Output is correct
8 Correct 12 ms 10996 KB Output is correct
9 Correct 15 ms 11140 KB Output is correct
10 Correct 11 ms 10872 KB Output is correct
11 Correct 24 ms 13304 KB Output is correct
12 Correct 49 ms 14864 KB Output is correct
13 Correct 70 ms 29624 KB Output is correct
14 Correct 153 ms 24016 KB Output is correct
15 Correct 196 ms 24376 KB Output is correct
16 Correct 152 ms 20708 KB Output is correct
17 Correct 141 ms 19484 KB Output is correct
18 Correct 48 ms 14836 KB Output is correct
19 Correct 163 ms 24044 KB Output is correct
20 Correct 198 ms 24296 KB Output is correct
21 Correct 164 ms 20836 KB Output is correct
22 Correct 140 ms 19472 KB Output is correct
23 Correct 164 ms 25304 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 11100 KB Output is correct
2 Correct 12 ms 11036 KB Output is correct
3 Correct 12 ms 11128 KB Output is correct
4 Correct 12 ms 10920 KB Output is correct
5 Correct 11 ms 10872 KB Output is correct
6 Correct 12 ms 11128 KB Output is correct
7 Correct 11 ms 11000 KB Output is correct
8 Correct 12 ms 10996 KB Output is correct
9 Correct 15 ms 11140 KB Output is correct
10 Correct 11 ms 10872 KB Output is correct
11 Correct 24 ms 13304 KB Output is correct
12 Correct 49 ms 14864 KB Output is correct
13 Correct 70 ms 29624 KB Output is correct
14 Correct 153 ms 24016 KB Output is correct
15 Correct 196 ms 24376 KB Output is correct
16 Correct 152 ms 20708 KB Output is correct
17 Correct 141 ms 19484 KB Output is correct
18 Correct 48 ms 14836 KB Output is correct
19 Correct 163 ms 24044 KB Output is correct
20 Correct 198 ms 24296 KB Output is correct
21 Correct 164 ms 20836 KB Output is correct
22 Correct 140 ms 19472 KB Output is correct
23 Correct 164 ms 25304 KB Output is correct
24 Correct 13 ms 10872 KB Output is correct
25 Correct 159 ms 13372 KB Output is correct
26 Correct 227 ms 14892 KB Output is correct
27 Correct 1652 ms 29632 KB Output is correct
28 Correct 1648 ms 24060 KB Output is correct
29 Correct 1793 ms 24312 KB Output is correct
30 Correct 1146 ms 20784 KB Output is correct
31 Correct 1108 ms 19476 KB Output is correct
32 Correct 277 ms 14892 KB Output is correct
33 Correct 1676 ms 24052 KB Output is correct
34 Correct 1712 ms 24300 KB Output is correct
35 Correct 1131 ms 20676 KB Output is correct
36 Correct 1694 ms 19480 KB Output is correct
37 Correct 1397 ms 25364 KB Output is correct
38 Correct 2896 ms 36792 KB Output is correct