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답안 #172565

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
172565 2020-01-02T03:17:37 Z eggag32 철인 이종 경기 (APIO18_duathlon) C++17
28 / 100
 124 ms 12132 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];
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;
	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 = 1;
	for(int u : g[cur]) if(u != prev && ind[u] == ind[cur]){
		if(vis4[u]) return 0;
		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, n) if(!vis4[i]){
				if(!dfs4(i, -1)) cyc[ind[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 5 ms 2680 KB Output is correct
5 Correct 5 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 4 ms 2684 KB Output is correct
13 Correct 5 ms 2680 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 5 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 2680 KB Output is correct
22 Correct 4 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 2680 KB Output is correct
26 Correct 4 ms 2680 KB Output is correct
27 Correct 4 ms 2680 KB Output is correct
28 Correct 4 ms 2680 KB Output is correct
29 Correct 4 ms 2680 KB Output is correct
30 Correct 4 ms 2684 KB Output is correct
31 Correct 4 ms 2680 KB Output is correct
32 Correct 5 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 2680 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 5 ms 2680 KB Output is correct
5 Correct 5 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 4 ms 2684 KB Output is correct
13 Correct 5 ms 2680 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 5 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 2680 KB Output is correct
22 Correct 4 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 2680 KB Output is correct
26 Correct 4 ms 2680 KB Output is correct
27 Correct 4 ms 2680 KB Output is correct
28 Correct 4 ms 2680 KB Output is correct
29 Correct 4 ms 2680 KB Output is correct
30 Correct 4 ms 2684 KB Output is correct
31 Correct 4 ms 2680 KB Output is correct
32 Correct 5 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 2680 KB Output is correct
36 Correct 6 ms 4600 KB Output is correct
37 Correct 6 ms 4728 KB Output is correct
38 Incorrect 6 ms 4728 KB Output isn't correct
39 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 102 ms 12132 KB Output is correct
2 Correct 104 ms 11968 KB Output is correct
3 Correct 96 ms 10444 KB Output is correct
4 Correct 100 ms 11128 KB Output is correct
5 Correct 100 ms 9700 KB Output is correct
6 Correct 98 ms 9720 KB Output is correct
7 Correct 90 ms 9336 KB Output is correct
8 Correct 92 ms 9592 KB Output is correct
9 Incorrect 97 ms 8956 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #4
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 4728 KB Output is correct
2 Correct 7 ms 4728 KB Output is correct
3 Correct 7 ms 4728 KB Output is correct
4 Correct 8 ms 5112 KB Output is correct
5 Correct 7 ms 4728 KB Output is correct
6 Correct 7 ms 4728 KB Output is correct
7 Correct 7 ms 5112 KB Output is correct
8 Correct 8 ms 4728 KB Output is correct
9 Correct 7 ms 4728 KB Output is correct
10 Correct 7 ms 4728 KB Output is correct
11 Correct 7 ms 4728 KB Output is correct
12 Correct 9 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 6 ms 4728 KB Output is correct
16 Correct 6 ms 4732 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 7 ms 4728 KB Output is correct

Subtask #5
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 74 ms 8240 KB Output is correct
2 Correct 73 ms 8276 KB Output is correct
3 Correct 74 ms 8240 KB Output is correct
4 Correct 70 ms 8312 KB Output is correct
5 Correct 72 ms 8284 KB Output is correct
6 Correct 124 ms 10424 KB Output is correct
7 Correct 93 ms 9336 KB Output is correct
8 Correct 85 ms 9080 KB Output is correct
9 Correct 87 ms 8780 KB Output is correct
10 Correct 83 ms 8440 KB Output is correct
11 Correct 79 ms 8312 KB Output is correct
12 Correct 81 ms 8312 KB Output is correct
13 Correct 81 ms 8312 KB Output is correct
14 Correct 71 ms 8184 KB Output is correct
15 Correct 106 ms 8184 KB Output is correct
16 Correct 41 ms 7800 KB Output is correct
17 Correct 51 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 8568 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 6 ms 4728 KB Output is correct
3 Incorrect 6 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 72 ms 8244 KB Output is correct
2 Correct 113 ms 8312 KB Output is correct
3 Incorrect 87 ms 8208 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 5 ms 2680 KB Output is correct
5 Correct 5 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 4 ms 2684 KB Output is correct
13 Correct 5 ms 2680 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 5 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 2680 KB Output is correct
22 Correct 4 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 2680 KB Output is correct
26 Correct 4 ms 2680 KB Output is correct
27 Correct 4 ms 2680 KB Output is correct
28 Correct 4 ms 2680 KB Output is correct
29 Correct 4 ms 2680 KB Output is correct
30 Correct 4 ms 2684 KB Output is correct
31 Correct 4 ms 2680 KB Output is correct
32 Correct 5 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 2680 KB Output is correct
36 Correct 6 ms 4600 KB Output is correct
37 Correct 6 ms 4728 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 5 ms 2680 KB Output is correct
5 Correct 5 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 4 ms 2684 KB Output is correct
13 Correct 5 ms 2680 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 5 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 2680 KB Output is correct
22 Correct 4 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 2680 KB Output is correct
26 Correct 4 ms 2680 KB Output is correct
27 Correct 4 ms 2680 KB Output is correct
28 Correct 4 ms 2680 KB Output is correct
29 Correct 4 ms 2680 KB Output is correct
30 Correct 4 ms 2684 KB Output is correct
31 Correct 4 ms 2680 KB Output is correct
32 Correct 5 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 2680 KB Output is correct
36 Correct 6 ms 4600 KB Output is correct
37 Correct 6 ms 4728 KB Output is correct
38 Incorrect 6 ms 4728 KB Output isn't correct
39 Halted 0 ms 0 KB -