oj.uz

Submission #172549

# Submission time Handle Problem Language Result Execution time Memory
172549 2020-01-02T02:15:05 Z eggag32 Duathlon (APIO18_duathlon) C++17
5 / 100
 1000 ms 1048580 KB 
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef pair<int, int> pi;
#define debug(x) cerr << #x << ": " << x << endl;
#define debug2(x, y) debug(x) debug(y);
#define repn(i, a, b) for(int i = (int)(a); i < (int)(b); i++)
#define rep(i, a) for(int i = 0; i < (int)(a); i++)
#define all(v) v.begin(), v.end() 
#define mp make_pair
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define fi first
#define se second
#define sq(x) ((x) * (x))

template<class T> T gcd(T a, T b){ return ((b == 0) ? a : gcd(b, a % b)); }

ll n, m;
vi vis2;
vi g[100005];

bool dfs(int cur, int mid, int fin, bool fnd, vi vis){
	vis[cur] = 1;
	if(cur == mid) fnd = 1;
	if(cur == fin){
		if(fnd) return 1;
		return 0;
	}
	int ret = 0;
	for(int u : g[cur]) if(!vis[u]){
		ret |= dfs(u, mid, fin, fnd, vis);
		if(ret) break;
	}
	return ret;
}

bool check(int st, int mid, int fin){
	vis2.assign(n, 0);
	return dfs(st, mid, fin, 0, vis2);
}

ll ans1 = 0;
int vis1[100005];
int vis3[100005];
int ind[100005];
int last[100005];
ll cn[100005];
ll d[100005];
int id = 0;
ll cc = 0;

void dfs1(int cur){
	//initial traversal to compute the subtree sizes
	vis1[cur] = 1;
	ind[cur] = id;
	last[id] = cur;
	cc++;
	d[cur] = 1;
	for(int u : g[cur]) if(!vis1[u]){
		dfs1(u);
		d[cur] += d[u];
	}
}	

void dfs2(int cur){
	vis3[cur] = 1;
	ll sm = 0;
	for(int u : g[cur]) if(!vis3[u]){
		ans1 += (ll)(d[u] * (cn[ind[cur]] - d[u] - 1));
		sm += d[u];
	}
	ans1 += (ll)((cn[ind[cur]] - d[cur]) * sm);
	for(int u : g[cur]) if(!vis3[u]) dfs2(u);
}

ll ans2 = 0;
int vis4[100005];
ll cnt1[2];

bool dfs4(int cur, int prev = -1){
	vis4[cur] = 1;
	if(prev != -1){
		cnt1[1] += cnt1[0];
		cnt1[0]++;
	}
	int ret = 1;
	for(int u : g[cur]){
		if(vis4[u] && u != prev) return 0;
		ret &= dfs4(u, cur);
		if(ret) break;
	}
	return ret;
}

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	//freopen("1.out", "r", stdin);
	//freopen("output.out", "w", stdout);
	cin >> n >> m;
	int mx = 0;
	rep(i, m){
		int a, b;
		cin >> a >> b;
		a--, b--;
		g[a].pb(b);
		g[b].pb(a);
		mx = max({mx, (int)g[a].size(), (int)g[b].size()});
	}
	if(n <= 10 && m <= 100){
		//first subtask
		ll ans = 0;
		rep(i, n) repn(k, i + 1, n) rep(j, n) if(j != i && j != k) if(check(i, j, k)) ans += 2;
		cout << ans << endl;
	}
	else{
		//subtasks 3, 4, 5
		memset(vis1, 0, sizeof(vis1));
		memset(vis3, 0, sizeof(vis3));
		memset(d, 0, sizeof(d));
		rep(i, n) if(!vis1[i]){
			cc = 0;
			dfs1(i);
			cn[id] = cc;
			id++;
		}
		vi cyc(100005, 0);
		rep(i, n) if(!vis4[i]){
			if(dfs4(i, -1)) cyc[ind[i]] = 1;
			else ans2 += cnt1[1];
		}
		if(mx == 2){
			//only in this case we can have cycles
			ans2 = 0;
			rep(i, id){
				if(cyc[i]) ans2 += (cn[i]) * (cn[i - 1]) * (cn[i - 2]);
			}
			cout << ans2 << endl;
			return 0;
		}
		rep(i, n) if(!vis3[i]) dfs2(i);
		cout << ans1 << endl;
	}
	return 0;
}
/*
Things to look out for:
	- Integer overflows
	- Array bounds
	- Special cases
Be careful!
*/

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2808 KB Output is correct
2 Correct 4 ms 2680 KB Output is correct
3 Correct 4 ms 2680 KB Output is correct
4 Correct 4 ms 2680 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2680 KB Output is correct
7 Correct 0 ms 2680 KB Output is correct
8 Correct 6 ms 2680 KB Output is correct
9 Correct 4 ms 2680 KB Output is correct
10 Correct 5 ms 2808 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 19 ms 2680 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 4 ms 2680 KB Output is correct
16 Correct 4 ms 2680 KB Output is correct
17 Correct 4 ms 2680 KB Output is correct
18 Correct 4 ms 2680 KB Output is correct
19 Correct 4 ms 2680 KB Output is correct
20 Correct 4 ms 2680 KB Output is correct
21 Correct 4 ms 2728 KB Output is correct
22 Correct 5 ms 2680 KB Output is correct
23 Correct 4 ms 2680 KB Output is correct
24 Correct 4 ms 2680 KB Output is correct
25 Correct 4 ms 2680 KB Output is correct
26 Correct 4 ms 2684 KB Output is correct
27 Correct 4 ms 2680 KB Output is correct
28 Correct 4 ms 2680 KB Output is correct
29 Correct 5 ms 2680 KB Output is correct
30 Correct 4 ms 2680 KB Output is correct
31 Correct 4 ms 2680 KB Output is correct
32 Correct 4 ms 2680 KB Output is correct
33 Correct 4 ms 2680 KB Output is correct
34 Correct 4 ms 2680 KB Output is correct
35 Correct 7 ms 2680 KB Output is correct

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2808 KB Output is correct
2 Correct 4 ms 2680 KB Output is correct
3 Correct 4 ms 2680 KB Output is correct
4 Correct 4 ms 2680 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2680 KB Output is correct
7 Correct 0 ms 2680 KB Output is correct
8 Correct 6 ms 2680 KB Output is correct
9 Correct 4 ms 2680 KB Output is correct
10 Correct 5 ms 2808 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 19 ms 2680 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 4 ms 2680 KB Output is correct
16 Correct 4 ms 2680 KB Output is correct
17 Correct 4 ms 2680 KB Output is correct
18 Correct 4 ms 2680 KB Output is correct
19 Correct 4 ms 2680 KB Output is correct
20 Correct 4 ms 2680 KB Output is correct
21 Correct 4 ms 2728 KB Output is correct
22 Correct 5 ms 2680 KB Output is correct
23 Correct 4 ms 2680 KB Output is correct
24 Correct 4 ms 2680 KB Output is correct
25 Correct 4 ms 2680 KB Output is correct
26 Correct 4 ms 2684 KB Output is correct
27 Correct 4 ms 2680 KB Output is correct
28 Correct 4 ms 2680 KB Output is correct
29 Correct 5 ms 2680 KB Output is correct
30 Correct 4 ms 2680 KB Output is correct
31 Correct 4 ms 2680 KB Output is correct
32 Correct 4 ms 2680 KB Output is correct
33 Correct 4 ms 2680 KB Output is correct
34 Correct 4 ms 2680 KB Output is correct
35 Correct 7 ms 2680 KB Output is correct
36 Execution timed out 1062 ms 1048580 KB Time limit exceeded
37 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1131 ms 1011104 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Runtime error 1002 ms 1048576 KB Execution killed with signal 9 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1073 ms 1048580 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1055 ms 1048580 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1046 ms 1048580 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2808 KB Output is correct
2 Correct 4 ms 2680 KB Output is correct
3 Correct 4 ms 2680 KB Output is correct
4 Correct 4 ms 2680 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2680 KB Output is correct
7 Correct 0 ms 2680 KB Output is correct
8 Correct 6 ms 2680 KB Output is correct
9 Correct 4 ms 2680 KB Output is correct
10 Correct 5 ms 2808 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 19 ms 2680 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 4 ms 2680 KB Output is correct
16 Correct 4 ms 2680 KB Output is correct
17 Correct 4 ms 2680 KB Output is correct
18 Correct 4 ms 2680 KB Output is correct
19 Correct 4 ms 2680 KB Output is correct
20 Correct 4 ms 2680 KB Output is correct
21 Correct 4 ms 2728 KB Output is correct
22 Correct 5 ms 2680 KB Output is correct
23 Correct 4 ms 2680 KB Output is correct
24 Correct 4 ms 2680 KB Output is correct
25 Correct 4 ms 2680 KB Output is correct
26 Correct 4 ms 2684 KB Output is correct
27 Correct 4 ms 2680 KB Output is correct
28 Correct 4 ms 2680 KB Output is correct
29 Correct 5 ms 2680 KB Output is correct
30 Correct 4 ms 2680 KB Output is correct
31 Correct 4 ms 2680 KB Output is correct
32 Correct 4 ms 2680 KB Output is correct
33 Correct 4 ms 2680 KB Output is correct
34 Correct 4 ms 2680 KB Output is correct
35 Correct 7 ms 2680 KB Output is correct
36 Execution timed out 1062 ms 1048580 KB Time limit exceeded
37 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2808 KB Output is correct
2 Correct 4 ms 2680 KB Output is correct
3 Correct 4 ms 2680 KB Output is correct
4 Correct 4 ms 2680 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2680 KB Output is correct
7 Correct 0 ms 2680 KB Output is correct
8 Correct 6 ms 2680 KB Output is correct
9 Correct 4 ms 2680 KB Output is correct
10 Correct 5 ms 2808 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 19 ms 2680 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 4 ms 2680 KB Output is correct
16 Correct 4 ms 2680 KB Output is correct
17 Correct 4 ms 2680 KB Output is correct
18 Correct 4 ms 2680 KB Output is correct
19 Correct 4 ms 2680 KB Output is correct
20 Correct 4 ms 2680 KB Output is correct
21 Correct 4 ms 2728 KB Output is correct
22 Correct 5 ms 2680 KB Output is correct
23 Correct 4 ms 2680 KB Output is correct
24 Correct 4 ms 2680 KB Output is correct
25 Correct 4 ms 2680 KB Output is correct
26 Correct 4 ms 2684 KB Output is correct
27 Correct 4 ms 2680 KB Output is correct
28 Correct 4 ms 2680 KB Output is correct
29 Correct 5 ms 2680 KB Output is correct
30 Correct 4 ms 2680 KB Output is correct
31 Correct 4 ms 2680 KB Output is correct
32 Correct 4 ms 2680 KB Output is correct
33 Correct 4 ms 2680 KB Output is correct
34 Correct 4 ms 2680 KB Output is correct
35 Correct 7 ms 2680 KB Output is correct
36 Execution timed out 1062 ms 1048580 KB Time limit exceeded
37 Halted 0 ms 0 KB -