oj.uz

Submission #97481

# Submission time Handle Problem Language Result Execution time Memory
97481 2019-02-16T11:37:58 Z maruii Training (IOI07_training) C++14
100 / 100
 151 ms 4608 KB 
#include <bits/stdc++.h>
using namespace std;
#define ff first
#define ss second
int N, M;
struct ed{int a,b,c;};
vector<int> edge[1001], D[1001];
vector<ed> A[1001], E;
int dp[1001][1024], nth[1001], prt[10][1001], deg[1001], dth[1001];
void dfs(int x){
	D[dth[x]].push_back(x);
	for(auto &i: edge[x]){
		if(prt[0][x]==i) continue;
		prt[0][i] = x;
		dth[i] = dth[x]+1;
		dfs(i);
		nth[i] = deg[x];
		++deg[x];
	}
}
int main(){
	ios_base::sync_with_stdio(0), cin.tie(0);
	cin>>N>>M;
	int ans = 0;
	for(int i=0; i<M; ++i){
		int x,y,z; cin>>x>>y>>z;
		if(z) E.push_back({z, x, y}), ans += z;
		else edge[x].push_back(y), edge[y].push_back(x);
	}
	dth[1] = 1;
	dfs(1);
	for(int i=1; i<10; ++i) for(int j=1; j<=N; ++j) prt[i][j] = prt[i-1][prt[i-1][j]];
	for(auto &i: E){
		if((dth[i.b]+dth[i.c]) & 1) continue;
		if(dth[i.b]<dth[i.c]) swap(i.b, i.c);
		int x, y; tie(x, y) = tie(i.b, i.c);
		for(int i=9; i>=0; --i) if(dth[prt[i][x]] >= dth[y]) x = prt[i][x];
		if(x==y){
			A[x].push_back(i);
			continue;
		}
		for(int i=9; i>=0; --i) if(prt[i][x] != prt[i][y]) x = prt[i][x], y = prt[i][y]; 
		A[prt[0][x]].push_back(i);
	}
	for(int d=1000; d; --d){
		for(auto &x: D[d]){
			for(int msk=1; msk<(1<<deg[x]); ++msk){
				for(auto &i: edge[x]) if(prt[0][i]==x && ((msk>>nth[i]) & 1)) dp[x][msk] = max(dp[x][msk], dp[i][(1<<deg[i])-1]+dp[x][msk ^ (1<<nth[i])]);
				for(auto &i: A[x]){
					int p = i.b, q = i.c;
					for(int i=9; i>=0; --i) if(dth[prt[i][p]]>dth[x]) p = prt[i][p];
					for(int i=9; i>=0; --i) if(dth[prt[i][q]]>dth[x]) q = prt[i][q];
					if(!(1 & (msk>>nth[p]) & (q!=x?(msk>>nth[q]):1))) continue;
					int m = msk ^ ((1<<nth[p]) | (q!=x?(1<<nth[q]):0));
					if(!m){
						int t = i.a + dp[i.b][(1<<deg[i.b])-1];
						for(int v=i.b; prt[0][v]!=x; v=prt[0][v]) t += dp[prt[0][v]][((1<<deg[prt[0][v]])-1) ^ (1<<nth[v])];
						if(i.c != x){
							t += dp[i.c][(1<<deg[i.c])-1];
							for(int v=i.c; prt[0][v]!=x; v=prt[0][v]) t += dp[prt[0][v]][((1<<deg[prt[0][v]])-1) ^ (1<<nth[v])];
						}
						dp[x][msk] = max(dp[x][msk], t);
					}
					else dp[x][msk] = max(dp[x][msk], dp[x][m]+dp[x][msk ^ m]);
				}
			}
		}
	}
	cout<<ans-dp[1][(1<<deg[1])-1];
	return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 3 ms 512 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 640 KB Output is correct
2 Correct 3 ms 640 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 4512 KB Output is correct
2 Correct 11 ms 4608 KB Output is correct

Subtask #4
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 512 KB Output is correct
2 Correct 2 ms 512 KB Output is correct

Subtask #5
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 0 ms 512 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 684 KB Output is correct
2 Correct 3 ms 700 KB Output is correct

Subtask #7
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 896 KB Output is correct
2 Correct 1 ms 768 KB Output is correct

Subtask #8
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 1124 KB Output is correct
2 Correct 9 ms 896 KB Output is correct
3 Correct 71 ms 1656 KB Output is correct

Subtask #9
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 2260 KB Output is correct
2 Correct 87 ms 1220 KB Output is correct
3 Correct 18 ms 1536 KB Output is correct

Subtask #10
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 1016 KB Output is correct
2 Correct 7 ms 1764 KB Output is correct
3 Correct 151 ms 4564 KB Output is correct
4 Correct 9 ms 1792 KB Output is correct

Subtask #11
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 2224 KB Output is correct
2 Correct 84 ms 4484 KB Output is correct
3 Correct 45 ms 1780 KB Output is correct
4 Correct 76 ms 1528 KB Output is correct