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답안 #172564

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
172564 2020-01-02T03:12:13 Z eggag32 철인 이종 경기 (APIO18_duathlon) C++17
28 / 100
 115 ms 11796 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){
		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 4 ms 2680 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2552 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 2684 KB Output is correct
11 Correct 5 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 5 ms 2680 KB Output is correct
15 Correct 4 ms 2684 KB Output is correct
16 Correct 4 ms 2728 KB Output is correct
17 Correct 4 ms 2728 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 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 2684 KB Output is correct
26 Correct 4 ms 2680 KB Output is correct
27 Correct 4 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 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 2684 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 2552 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 2684 KB Output is correct
11 Correct 5 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 5 ms 2680 KB Output is correct
15 Correct 4 ms 2684 KB Output is correct
16 Correct 4 ms 2728 KB Output is correct
17 Correct 4 ms 2728 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 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 2684 KB Output is correct
26 Correct 4 ms 2680 KB Output is correct
27 Correct 4 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 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 2684 KB Output is correct
36 Correct 6 ms 4600 KB Output is correct
37 Correct 6 ms 4600 KB Output is correct
38 Incorrect 6 ms 4604 KB Output isn't correct
39 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 99 ms 11796 KB Output is correct
2 Correct 93 ms 11672 KB Output is correct
3 Correct 95 ms 10104 KB Output is correct
4 Correct 104 ms 10876 KB Output is correct
5 Correct 104 ms 9592 KB Output is correct
6 Correct 95 ms 9720 KB Output is correct
7 Correct 98 ms 9208 KB Output is correct
8 Correct 103 ms 9464 KB Output is correct
9 Incorrect 102 ms 8952 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 6 ms 4728 KB Output is correct
2 Correct 6 ms 4728 KB Output is correct
3 Correct 8 ms 4728 KB Output is correct
4 Correct 7 ms 5116 KB Output is correct
5 Correct 7 ms 4728 KB Output is correct
6 Correct 6 ms 4728 KB Output is correct
7 Correct 7 ms 5112 KB Output is correct
8 Correct 6 ms 4776 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 4732 KB Output is correct
12 Correct 6 ms 4728 KB Output is correct
13 Correct 7 ms 4728 KB Output is correct
14 Correct 7 ms 4728 KB Output is correct
15 Correct 6 ms 4728 KB Output is correct
16 Correct 6 ms 4728 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 4732 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 72 ms 8264 KB Output is correct
2 Correct 79 ms 8312 KB Output is correct
3 Correct 115 ms 8332 KB Output is correct
4 Correct 78 ms 8440 KB Output is correct
5 Correct 78 ms 8320 KB Output is correct
6 Correct 97 ms 10232 KB Output is correct
7 Correct 89 ms 9264 KB Output is correct
8 Correct 86 ms 9080 KB Output is correct
9 Correct 81 ms 8824 KB Output is correct
10 Correct 68 ms 8312 KB Output is correct
11 Correct 74 ms 8336 KB Output is correct
12 Correct 74 ms 8312 KB Output is correct
13 Correct 69 ms 8284 KB Output is correct
14 Correct 73 ms 8316 KB Output is correct
15 Correct 58 ms 8156 KB Output is correct
16 Correct 40 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 52 ms 8556 KB Output is correct
20 Correct 52 ms 8568 KB Output is correct

Subtask #6
0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4732 KB Output is correct
2 Correct 6 ms 4728 KB Output is correct
3 Incorrect 7 ms 4708 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 79 ms 8248 KB Output is correct
2 Correct 86 ms 8312 KB Output is correct
3 Incorrect 110 ms 8216 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 2552 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 2684 KB Output is correct
11 Correct 5 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 5 ms 2680 KB Output is correct
15 Correct 4 ms 2684 KB Output is correct
16 Correct 4 ms 2728 KB Output is correct
17 Correct 4 ms 2728 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 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 2684 KB Output is correct
26 Correct 4 ms 2680 KB Output is correct
27 Correct 4 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 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 2684 KB Output is correct
36 Correct 6 ms 4600 KB Output is correct
37 Correct 6 ms 4600 KB Output is correct
38 Incorrect 6 ms 4604 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 2552 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 2684 KB Output is correct
11 Correct 5 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 5 ms 2680 KB Output is correct
15 Correct 4 ms 2684 KB Output is correct
16 Correct 4 ms 2728 KB Output is correct
17 Correct 4 ms 2728 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 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 2684 KB Output is correct
26 Correct 4 ms 2680 KB Output is correct
27 Correct 4 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 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 2684 KB Output is correct
36 Correct 6 ms 4600 KB Output is correct
37 Correct 6 ms 4600 KB Output is correct
38 Incorrect 6 ms 4604 KB Output isn't correct
39 Halted 0 ms 0 KB -