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Submission #712224

# Submission time Handle Problem Language Result Execution time Memory
712224 2023-03-18T12:01:00 Z Radin_Zahedi2 Duathlon (APIO18_duathlon) C++17
8 / 100
 84 ms 20444 KB 
#include<bits/stdc++.h>
//#pragma GCC optimize("O2")
using namespace std;
using ll = long long;
using ld = long double;
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define sz(x) (int)x.size()
#define endl '\n'
const int mod = 1e9 + 7;
const int inf = 2e9 + 5;
const ll linf = 9e18 + 5;


int n, m;
const int N = 1e5 + 5;
const int M = 2e5 + 5;
vector<int> adj1[N];
bool mark[N];
int h[N];
int par[N];
int up[N];

vector<int> adj2[N + M];
bool mark2[N + M];

int block[N];
int bcnt[N];

int len[N + M];
int par2[N + M];
int total[N + M];

void init() {
}

void input() {
	cin >> n >> m;

	for (int i = 1; i <= m; i++) {
		int u, v;
		cin >> u >> v;
//		u = i; v = i + 1;

		adj1[u].pb(v);
		adj1[v].pb(u);
	}
}

void dfshp(int u) {
	mark[u] = true;

	for (auto v : adj1[u]) {
		if (!mark[v]) {
			h[v] = h[u] + 1;
			par[v] = u;
			dfshp(v);
		}
	}
}

void dfsup(int u) {
	mark[u] = true;

	up[u] = h[u];
	for (auto v : adj1[u]) {
		if (!mark[v]) {
			dfsup(v);
			up[u] = min(up[u], up[v]);
		}
		else {
			up[u] = min(up[u], h[v]);
		}
	}
}

void dfsbd(int u) {
	mark[u] = true;

	for (auto v : adj1[u]) {
		if (!mark[v]) {
			if (up[v] == h[u]) {
				block[v] = v;
				bcnt[v] = 1;
			}
			else {
				block[v] = block[u];
			}

			dfsbd(v);
		}
	}
}

void dfslen(int u) {
	if (u <= n) {
		len[u] = bcnt[u];
	}
	else {
		len[u] = 1;
	}

	for (auto v : adj2[u]) {
		if (v != par2[u]) {
			par2[v] = u;
			dfslen(v);
			len[u] += len[v] - 1;
		}
	}
}

void dfstotal(int u, const int x) {
	total[u] = x;

	for (auto v : adj2[u]) {
		if (v != par2[u]) {
			dfstotal(v, x);
		}
	}
}

pair<int, bool> dfscnt(int u) {
	mark[u] = true;
	int ans = 1;

	bool path = true;
	int pcnt = 0;
	for (auto v : adj1[u]) {
		if (!mark[v]) {
			pair<int, bool> wef = dfscnt(v);
			ans += wef.fi;
			path &= wef.se;
		}
		else {
			pcnt++;
		}
	}
	if (pcnt == 2) {
		path = false;
	}

	return mp(ans, path);
}

void solve() {
	vector<int> roots;

	ll ans = 0;
	fill(mark + 1, mark + n + 1, false);
	for (int u = 1; u <= n; u++) {
		if (!mark[u]) {
		//	dfshp(u);
			pair<int, bool> wef = dfscnt(u);
			int nn = wef.fi;
			
			if (wef.se) {
				ans += 1ll * nn * (nn - 1) * (nn - 2) / 3;
			}
			else {
				ans += 1ll * nn * (nn - 1) * (nn - 2);
			}
			
			roots.pb(u);
		}
	}

	cout << ans;
/*

	fill(mark + 1, mark + n + 1, false);
	for (auto r : roots) {
		if (!mark[r]) {
			dfsup(r);
		}
	}

	fill(mark + 1, mark + n + 1, false);
	for (auto r : roots) {
		if (!mark[r]) {
			dfsbd(r);
		}
	}


	for (int u = 1; u <= n; u++) {
		bcnt[block[u]]++;
	}
	bcnt[0] = 0;


	for (int u = 1; u <= n; u++) {
		bool cut = false;
		for (auto v : adj1[u]) {
			if (par[v] == u && block[v] == v) {
				cut = true;
			}
		}

		if (cut) {
			adj2[block[u]].pb(u + n);
			adj2[u + n].pb(block[u]);
		}


		if (block[u] == u) {
			adj2[block[u]].pb(par[u] + n);
			adj2[par[u] + n].pb(block[u]);
		}
	}


	int ans = 0;
	for (auto r : roots) {
		dfslen(r + n);
		dfstotal(r + n, len[r + n]);

		ans += mull(len[r + n], mull(len[r + n] - 1, len[r + n] - 2));
	}

	for (int u = 1; u <= n; u++) {
		if (!mark2[u]) {
			continue;
		}

		for (auto v : adj2[u]) {
			if (par2[u] != v) {
				ans -= mull(bcnt[u] - 1, mull(len[v], len[v] - 1));
				ans %= mod;
			}
		}

		ans -= mull(bcnt[u] - 1, mull(total[u] - len[u] + 1, total[u] - len[u]));
		ans %= mod;
	}

	ans += mod;
	ans %= mod;
	cout << ans;*/
}

void output() {
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);

	int number_of_testcases = 1;
	//cin >> number_of_testcases;
	while (number_of_testcases--) {
		init();

		input();

		solve();

		output();
	}

	return 0;
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Incorrect 5 ms 9684 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Incorrect 5 ms 9684 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 19092 KB Output is correct
2 Correct 49 ms 20444 KB Output is correct
3 Correct 67 ms 17228 KB Output is correct
4 Correct 58 ms 18824 KB Output is correct
5 Correct 57 ms 16236 KB Output is correct
6 Correct 84 ms 16268 KB Output is correct
7 Correct 48 ms 15420 KB Output is correct
8 Correct 46 ms 15852 KB Output is correct
9 Correct 65 ms 14772 KB Output is correct
10 Correct 69 ms 15312 KB Output is correct
11 Correct 52 ms 14292 KB Output is correct
12 Correct 61 ms 14084 KB Output is correct
13 Correct 44 ms 14156 KB Output is correct
14 Correct 45 ms 13992 KB Output is correct
15 Correct 38 ms 13388 KB Output is correct
16 Correct 39 ms 13276 KB Output is correct
17 Correct 7 ms 10492 KB Output is correct
18 Correct 7 ms 10456 KB Output is correct
19 Correct 6 ms 10376 KB Output is correct
20 Correct 6 ms 10372 KB Output is correct
21 Correct 6 ms 10388 KB Output is correct
22 Correct 6 ms 10392 KB Output is correct

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 5 ms 9684 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Incorrect 49 ms 13052 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Incorrect 5 ms 9684 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 65 ms 13052 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Incorrect 5 ms 9684 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Incorrect 5 ms 9684 KB Output isn't correct
4 Halted 0 ms 0 KB -