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Submission #297415

# Submission time Handle Problem Language Result Execution time Memory
297415 2020-09-11T14:37:07 Z srvlt Duathlon (APIO18_duathlon) C++14
10 / 100
 65 ms 11768 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define pb push_back
#define all(x) begin(x), end(x)
#define SZ(x) (int)(x).size()
#define cps(x) sort(all(x)), (x).erase(unique(all(x)), end(x))
#define cps2(x, y) sort(all(x), y), (x).erase(unique(all(x)), end(x))
#define mem(x, y) memset(& x, y, sizeof(x))
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const int n0 = 1003;
int n, m, root, used[n0], sz[n0];
int up[n0], up2[n0], in[n0], T, last[n0], up3[n0][n0];
vector <int> g[n0];
ll cur;

void dfs(int v, int p) {
	used[v] = 1, sz[v] = 1, in[v] = ++T;
	up[v] = up2[v] = in[v];
	for (int to : g[v]) {
		if (to == p) continue;
		if (used[to] == 1 && in[to] < in[v])
			up[v] = min(up[v], in[to]), up2[v] = min(up2[v], in[to]);
		if (!used[to]) {
			dfs(to, v);
			sz[v] += sz[to];
			up[v] = min(up[v], up[to]);
		}
	}
	used[v] = 2;
}

void dfs2(int v, int p) {
	used[v] = 1;
	if (v == root) last[v] = 1;
	else {
		last[v] = last[p];
		if (up3[p][v] == 1) last[v] = max(last[v], in[p]);
		if (up2[v] == 1) last[v] = max(last[v], in[v]);
	}
	int mn = -1, mn2 = -1;
	for (int to : g[v]) {
		if (!used[to]) {
			if (mn == -1 || up[mn] > up[to]) {
				mn2 = mn;
				mn = to;
			}	else if (mn2 == -1 || up[mn2] > up[to]) {
				mn2 = to;
			}
		}
	}
	for (int to : g[v]) {
		if (!used[to]) {
			if (mn == to) {
				int x = up2[v];
				if (mn2 != -1) x = min(x, up[mn2]);
				up3[v][to] = x;
			}	else up3[v][to] = min(up2[v], up[mn]);
		}
	}
	ll bad = 1, bad2 = 0;
	for (int to : g[v]) {
		if (!used[to]) {
			dfs2(to, v);
			int tmp = last[v];
			if (up3[v][to] == 1) tmp = max(tmp, in[v]);
			if (v != root && up[to] > 1) {
				if (up[to] >= tmp) {
					cur += bad * sz[to];
				}
				if (up[to] >= 1) {
					cur += bad2 * sz[to];
				}
			}
			if (up[to] == 1) bad2 += sz[to];
			else bad += sz[to];
		}
	}
}

ll comp;
void go(int v) {
	used[v] = 1, comp++;
	for (int to : g[v])
		if (!used[to]) go(to);
}

int main() {
	ios_base::sync_with_stdio(false), cin.tie(NULL);
	cin >> n >> m;
	for (int i = 0; i < m; i++) {
		int x, y;
		cin >> x >> y;
		g[x].pb(y), g[y].pb(x);
	}
	ll res = 0;
	for (int i = 1; i <= n; i++) {
		if (!used[i]) {
			comp = 0;
			go(i);
			res += comp * (comp - 1) * (comp - 2);
		}
	}
	for (int i = 1; i <= n; i++) {
		root = i, cur = T = 0;
		mem(used, 0);
		dfs(i, i);
		mem(used, 0), mem(last, 0);
		dfs2(i, i);
		cur *= 2;
		res -= cur;
	}
	cout << res;
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 416 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Incorrect 1 ms 512 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 416 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Incorrect 1 ms 512 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 55 ms 11516 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 4088 KB Output is correct
2 Correct 55 ms 4088 KB Output is correct
3 Correct 56 ms 4092 KB Output is correct
4 Correct 64 ms 4224 KB Output is correct
5 Correct 62 ms 4164 KB Output is correct
6 Correct 62 ms 4188 KB Output is correct
7 Correct 59 ms 4344 KB Output is correct
8 Correct 59 ms 4216 KB Output is correct
9 Correct 65 ms 4216 KB Output is correct
10 Correct 52 ms 4088 KB Output is correct
11 Correct 41 ms 4088 KB Output is correct
12 Correct 23 ms 4088 KB Output is correct
13 Correct 16 ms 4096 KB Output is correct
14 Correct 4 ms 3968 KB Output is correct
15 Correct 5 ms 3968 KB Output is correct
16 Correct 3 ms 3200 KB Output is correct
17 Correct 35 ms 4344 KB Output is correct
18 Correct 36 ms 3960 KB Output is correct
19 Correct 37 ms 4088 KB Output is correct
20 Correct 39 ms 3704 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Runtime error 51 ms 11768 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 4088 KB Output is correct
2 Correct 57 ms 4088 KB Output is correct
3 Incorrect 63 ms 4216 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Runtime error 56 ms 11768 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 416 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Incorrect 1 ms 512 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 416 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Incorrect 1 ms 512 KB Output isn't correct
8 Halted 0 ms 0 KB -