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답안 #172573

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
172573 2020-01-02T03:37:49 Z eggag32 철인 이종 경기 (APIO18_duathlon) C++17
36 / 100
 161 ms 12116 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];
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;
ll ans2 = 0;
int vis4[100005];
ll cnt1[2];

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);
}

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);
}

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){
			vi cyc(100005, 0);
			rep(i, id){
				if(dfs4(last[i], -1)) cyc[i] = 1;
				else{
					for(ll j = 2; j < cn[i]; j++) ans2 += (ll)(2 * (j - 1) * (cn[i] - j) * 1LL);
				}
			}
			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

# 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 5 ms 2680 KB Output is correct
8 Correct 6 ms 2680 KB Output is correct
9 Correct 5 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 2680 KB Output is correct
13 Correct 5 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 2552 KB Output is correct
17 Correct 5 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 4 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 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 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 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 5 ms 2680 KB Output is correct
8 Correct 6 ms 2680 KB Output is correct
9 Correct 5 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 2680 KB Output is correct
13 Correct 5 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 2552 KB Output is correct
17 Correct 5 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 4 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 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 2680 KB Output is correct
36 Correct 6 ms 4728 KB Output is correct
37 Correct 6 ms 4600 KB Output is correct
38 Incorrect 6 ms 4600 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 100 ms 12112 KB Output is correct
2 Correct 105 ms 12024 KB Output is correct
3 Correct 107 ms 10380 KB Output is correct
4 Correct 111 ms 11108 KB Output is correct
5 Correct 109 ms 9720 KB Output is correct
6 Correct 109 ms 10488 KB Output is correct
7 Correct 156 ms 9376 KB Output is correct
8 Correct 159 ms 9844 KB Output is correct
9 Correct 154 ms 8952 KB Output is correct
10 Correct 161 ms 9308 KB Output is correct
11 Correct 113 ms 8816 KB Output is correct
12 Correct 104 ms 8772 KB Output is correct
13 Correct 65 ms 8920 KB Output is correct
14 Correct 61 ms 8696 KB Output is correct
15 Correct 51 ms 8568 KB Output is correct
16 Correct 70 ms 8568 KB Output is correct
17 Correct 10 ms 6264 KB Output is correct
18 Correct 10 ms 6140 KB Output is correct
19 Correct 10 ms 6264 KB Output is correct
20 Correct 12 ms 6264 KB Output is correct
21 Correct 10 ms 6648 KB Output is correct
22 Correct 9 ms 6264 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 4728 KB Output is correct
7 Correct 7 ms 5112 KB Output is correct
8 Correct 7 ms 4856 KB Output is correct
9 Correct 7 ms 4728 KB Output is correct
10 Correct 7 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 9 ms 4700 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 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 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 80 ms 8268 KB Output is correct
2 Correct 80 ms 8368 KB Output is correct
3 Correct 88 ms 8312 KB Output is correct
4 Correct 77 ms 8228 KB Output is correct
5 Correct 118 ms 8312 KB Output is correct
6 Correct 122 ms 12116 KB Output is correct
7 Correct 100 ms 9456 KB Output is correct
8 Correct 131 ms 9108 KB Output is correct
9 Correct 113 ms 8824 KB Output is correct
10 Correct 117 ms 8312 KB Output is correct
11 Correct 85 ms 8312 KB Output is correct
12 Correct 77 ms 8328 KB Output is correct
13 Correct 78 ms 8312 KB Output is correct
14 Correct 70 ms 8440 KB Output is correct
15 Correct 69 ms 8440 KB Output is correct
16 Correct 42 ms 7928 KB Output is correct
17 Correct 57 ms 8548 KB Output is correct
18 Correct 48 ms 8560 KB Output is correct
19 Correct 52 ms 8556 KB Output is correct
20 Correct 51 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 83 ms 8264 KB Output is correct
2 Correct 93 ms 8284 KB Output is correct
3 Incorrect 96 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 5 ms 2680 KB Output is correct
8 Correct 6 ms 2680 KB Output is correct
9 Correct 5 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 2680 KB Output is correct
13 Correct 5 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 2552 KB Output is correct
17 Correct 5 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 4 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 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 2680 KB Output is correct
36 Correct 6 ms 4728 KB Output is correct
37 Correct 6 ms 4600 KB Output is correct
38 Incorrect 6 ms 4600 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 5 ms 2680 KB Output is correct
8 Correct 6 ms 2680 KB Output is correct
9 Correct 5 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 2680 KB Output is correct
13 Correct 5 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 2552 KB Output is correct
17 Correct 5 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 4 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 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 2680 KB Output is correct
36 Correct 6 ms 4728 KB Output is correct
37 Correct 6 ms 4600 KB Output is correct
38 Incorrect 6 ms 4600 KB Output isn't correct
39 Halted 0 ms 0 KB -