oj.uz

답안 #172570

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
172570 2020-01-02T03:33:04 Z eggag32 철인 이종 경기 (APIO18_duathlon) C++17
36 / 100
 155 ms 12108 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){
	vis4[cur] = 1;
	if(prev != -1){
		cnt1[1] += cnt1[0];
		cnt1[0]++;
	}
	int ret = 0;
	for(int u : g[cur]) if(u != prev && (ind[u] == ind[cur])){
		if(vis4[u]) return 1;
		ret |= dfs4(u, cur);
	}
	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(vis4, 0, sizeof(vis4));
		memset(d, 0, sizeof(d));
		rep(i, n) if(!vis1[i]){
			cc = 0;
			dfs1(i);
			cn[id] = cc;
			id++;
		}
		if(mx == 2){
			int f = 0;
			vi cyc(100005, 0);
			rep(i, id){
				if(dfs4(last[i], -1)) cyc[i] = 1, f = 1;
				else{
					for(ll j = 2; j < cn[i]; j++) ans2 += (ll)(2 * (j - 1) * (cn[i] - j) * 1LL);
				}
			}
			if(!f) goto g;
			rep(i, id) if(cyc[i]){
				ans2 += ((cn[i]) * (cn[i] - 1) * (cn[i] - 2));
			}
			cout << ans2 << endl;
			return 0;
		}
g:;
		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

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 2680 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 4 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 4 ms 2680 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 5 ms 2680 KB Output is correct
14 Correct 5 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 5 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 2680 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 5 ms 2808 KB Output is correct
26 Correct 5 ms 2684 KB Output is correct
27 Correct 5 ms 2680 KB Output is correct
28 Correct 5 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 4 ms 2808 KB Output is correct

Subtask #2
0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 2680 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 4 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 4 ms 2680 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 5 ms 2680 KB Output is correct
14 Correct 5 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 5 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 2680 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 5 ms 2808 KB Output is correct
26 Correct 5 ms 2684 KB Output is correct
27 Correct 5 ms 2680 KB Output is correct
28 Correct 5 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 4 ms 2808 KB Output is correct
36 Correct 6 ms 4732 KB Output is correct
37 Correct 6 ms 4628 KB Output is correct
38 Incorrect 6 ms 4728 KB Output isn't correct
39 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 105 ms 12108 KB Output is correct
2 Correct 107 ms 12024 KB Output is correct
3 Correct 99 ms 10360 KB Output is correct
4 Correct 108 ms 11256 KB Output is correct
5 Correct 149 ms 9848 KB Output is correct
6 Correct 155 ms 10492 KB Output is correct
7 Correct 154 ms 9336 KB Output is correct
8 Correct 94 ms 9848 KB Output is correct
9 Correct 96 ms 8952 KB Output is correct
10 Correct 90 ms 10488 KB Output is correct
11 Correct 73 ms 9976 KB Output is correct
12 Correct 67 ms 9848 KB Output is correct
13 Correct 69 ms 9720 KB Output is correct
14 Correct 66 ms 9692 KB Output is correct
15 Correct 48 ms 9336 KB Output is correct
16 Correct 47 ms 9336 KB Output is correct
17 Correct 9 ms 6264 KB Output is correct
18 Correct 9 ms 6264 KB Output is correct
19 Correct 9 ms 6136 KB Output is correct
20 Correct 9 ms 6264 KB Output is correct
21 Correct 11 ms 6648 KB Output is correct
22 Correct 9 ms 6136 KB Output is correct

Subtask #4
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4728 KB Output is correct
2 Correct 6 ms 4728 KB Output is correct
3 Correct 6 ms 4728 KB Output is correct
4 Correct 7 ms 5112 KB Output is correct
5 Correct 6 ms 4728 KB Output is correct
6 Correct 6 ms 4756 KB Output is correct
7 Correct 7 ms 5112 KB Output is correct
8 Correct 6 ms 4728 KB Output is correct
9 Correct 6 ms 4728 KB Output is correct
10 Correct 6 ms 4728 KB Output is correct
11 Correct 6 ms 4728 KB Output is correct
12 Correct 6 ms 4728 KB Output is correct
13 Correct 6 ms 4728 KB Output is correct
14 Correct 6 ms 4728 KB Output is correct
15 Correct 1 ms 4732 KB Output is correct
16 Correct 6 ms 4664 KB Output is correct
17 Correct 6 ms 4728 KB Output is correct
18 Correct 6 ms 4728 KB Output is correct
19 Correct 6 ms 4728 KB Output is correct
20 Correct 6 ms 4728 KB Output is correct

Subtask #5
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 85 ms 8312 KB Output is correct
2 Correct 72 ms 8312 KB Output is correct
3 Correct 78 ms 8312 KB Output is correct
4 Correct 77 ms 8312 KB Output is correct
5 Correct 79 ms 8312 KB Output is correct
6 Correct 123 ms 12024 KB Output is correct
7 Correct 93 ms 9336 KB Output is correct
8 Correct 92 ms 9080 KB Output is correct
9 Correct 97 ms 8696 KB Output is correct
10 Correct 88 ms 8380 KB Output is correct
11 Correct 107 ms 8312 KB Output is correct
12 Correct 75 ms 8440 KB Output is correct
13 Correct 69 ms 8312 KB Output is correct
14 Correct 72 ms 8440 KB Output is correct
15 Correct 60 ms 8312 KB Output is correct
16 Correct 39 ms 8056 KB Output is correct
17 Correct 48 ms 8560 KB Output is correct
18 Correct 49 ms 8560 KB Output is correct
19 Correct 51 ms 8556 KB Output is correct
20 Correct 49 ms 8544 KB Output is correct

Subtask #6
0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4728 KB Output is correct
2 Correct 2 ms 4728 KB Output is correct
3 Incorrect 7 ms 4728 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 78 ms 8292 KB Output is correct
2 Correct 79 ms 8184 KB Output is correct
3 Incorrect 76 ms 8184 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 2680 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 4 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 4 ms 2680 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 5 ms 2680 KB Output is correct
14 Correct 5 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 5 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 2680 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 5 ms 2808 KB Output is correct
26 Correct 5 ms 2684 KB Output is correct
27 Correct 5 ms 2680 KB Output is correct
28 Correct 5 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 4 ms 2808 KB Output is correct
36 Correct 6 ms 4732 KB Output is correct
37 Correct 6 ms 4628 KB Output is correct
38 Incorrect 6 ms 4728 KB Output isn't correct
39 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 2680 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 4 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 4 ms 2680 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 5 ms 2680 KB Output is correct
14 Correct 5 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 5 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 2680 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 5 ms 2808 KB Output is correct
26 Correct 5 ms 2684 KB Output is correct
27 Correct 5 ms 2680 KB Output is correct
28 Correct 5 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 4 ms 2808 KB Output is correct
36 Correct 6 ms 4732 KB Output is correct
37 Correct 6 ms 4628 KB Output is correct
38 Incorrect 6 ms 4728 KB Output isn't correct
39 Halted 0 ms 0 KB -