Submission #408760

# Submission time Handle Problem Language Result Execution time Memory
408760 2021-05-19T15:26:07 Z Cantfindme Robot (JOI21_ho_t4) C++17
34 / 100
3000 ms 52916 KB
#include <bits/stdc++.h>
using namespace std;
#define int long long
typedef pair<int,int> pi;
#define f first
#define s second
#define FAST ios_base::sync_with_stdio(0); cin.tie(0);
#define all(x) x.begin(),x.end()
 
const int maxn = 100010;
const int INF = LLONG_MAX/2;
const int mod = 1e9+7; 

typedef pair<int, pi> pii;

//struct edge {
	//int v, c, p;
//};

vector <pii> adjlist[maxn];
map <int, int> dp[maxn], sum[maxn];
int dist[maxn];

int n, e;

int32_t main() {
	FAST
	
	cin >> n >> e;
	for (int i =0;i<e;i++) {
		int a,b, c, p;
		cin >> a >> b >> c >> p;
		adjlist[a].push_back(pii(b,pi(c,p)));
		adjlist[b].push_back(pii(a,pi(c,p)));
		sum[a][c] += p;
		sum[b][c] += p;
	}

	//(1) Only change edge i to completely unique colour (guaranteed to exist)
	//(2) Change rest of edges with same colour as edge i

	memset(dist,-1,sizeof dist);

	priority_queue<pii, vector<pii>,greater<pii>> pq;
	pq.push(pii(0,pi(1,0)));
	dist[1] = 0;
	
	while (!pq.empty()) {
		auto [d, cur] = pq.top(); pq.pop();
		auto [x, c] = cur;
		
		if (c != 0) {
			//We must take a (2) here if not void
			if (d != dp[x][c]) continue;
			
			for (auto [v,xx] : adjlist[x]) {
				auto [cc, p] = xx;
				
				if (cc != c) continue;
				
				int nd = d + sum[x][c] - p;
				if (dist[v] == -1 or dist[v] > nd) {
					pq.push(pii(nd,pi(v,0)));
					dist[v] = nd;
				}
			}
		} else {
			if (d != dist[x]) continue;
			
			for (auto [v, xx]: adjlist[x]) {
				auto [cc, p] = xx;
				
				int nd = d + p;
			
				//Take a (1)
				//Straight to dist
				if (dist[v] == -1 or dist[v] > nd) {
					dist[v] = nd;
					pq.push(pii(nd,pi(v,0)));
				}
				
				//Do a suspension
				nd = d;
				if (dp[v].count(cc) == 0 or dp[v][cc] > nd) {
					dp[v][cc] = nd;
					pq.push(pii(nd,pi(v,cc)));
				}				
				
				//Take a (2)
				nd = d + sum[x][cc] - p;
				if (dist[v] == -1 or dist[v] > nd) {
					dist[v] = nd;
					pq.push(pii(nd,pi(v,0)));
				}
			}		
		}
 	}
 	
 	cout << dist[n];
}


# Verdict Execution time Memory Grader output
1 Correct 8 ms 12748 KB Output is correct
2 Correct 7 ms 12748 KB Output is correct
3 Correct 7 ms 12748 KB Output is correct
4 Correct 7 ms 12748 KB Output is correct
5 Correct 8 ms 12876 KB Output is correct
6 Correct 7 ms 12748 KB Output is correct
7 Correct 9 ms 12876 KB Output is correct
8 Correct 8 ms 12876 KB Output is correct
9 Correct 12 ms 13280 KB Output is correct
10 Correct 11 ms 13260 KB Output is correct
11 Correct 9 ms 13132 KB Output is correct
12 Correct 9 ms 13084 KB Output is correct
13 Correct 9 ms 13132 KB Output is correct
14 Correct 9 ms 13132 KB Output is correct
15 Correct 10 ms 13004 KB Output is correct
16 Correct 10 ms 13116 KB Output is correct
17 Correct 10 ms 13004 KB Output is correct
18 Correct 8 ms 12888 KB Output is correct
19 Correct 9 ms 13004 KB Output is correct
20 Correct 9 ms 13004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 159 ms 27616 KB Output is correct
2 Correct 69 ms 20092 KB Output is correct
3 Correct 170 ms 27948 KB Output is correct
4 Correct 104 ms 22476 KB Output is correct
5 Execution timed out 3083 ms 52916 KB Time limit exceeded
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 8 ms 12748 KB Output is correct
2 Correct 7 ms 12748 KB Output is correct
3 Correct 7 ms 12748 KB Output is correct
4 Correct 7 ms 12748 KB Output is correct
5 Correct 8 ms 12876 KB Output is correct
6 Correct 7 ms 12748 KB Output is correct
7 Correct 9 ms 12876 KB Output is correct
8 Correct 8 ms 12876 KB Output is correct
9 Correct 12 ms 13280 KB Output is correct
10 Correct 11 ms 13260 KB Output is correct
11 Correct 9 ms 13132 KB Output is correct
12 Correct 9 ms 13084 KB Output is correct
13 Correct 9 ms 13132 KB Output is correct
14 Correct 9 ms 13132 KB Output is correct
15 Correct 10 ms 13004 KB Output is correct
16 Correct 10 ms 13116 KB Output is correct
17 Correct 10 ms 13004 KB Output is correct
18 Correct 8 ms 12888 KB Output is correct
19 Correct 9 ms 13004 KB Output is correct
20 Correct 9 ms 13004 KB Output is correct
21 Correct 159 ms 27616 KB Output is correct
22 Correct 69 ms 20092 KB Output is correct
23 Correct 170 ms 27948 KB Output is correct
24 Correct 104 ms 22476 KB Output is correct
25 Execution timed out 3083 ms 52916 KB Time limit exceeded
26 Halted 0 ms 0 KB -