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답안 #172571

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
172571 2020-01-02T03:34:32 Z eggag32 철인 이종 경기 (APIO18_duathlon) C++17
36 / 100
 155 ms 12024 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 2808 KB Output is correct
4 Correct 4 ms 2684 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 9 ms 2680 KB Output is correct
9 Correct 5 ms 2680 KB Output is correct
10 Correct 5 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 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 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 2676 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 5 ms 2728 KB Output is correct
35 Correct 5 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 2808 KB Output is correct
4 Correct 4 ms 2684 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 9 ms 2680 KB Output is correct
9 Correct 5 ms 2680 KB Output is correct
10 Correct 5 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 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 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 2676 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 5 ms 2728 KB Output is correct
35 Correct 5 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 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 103 ms 12024 KB Output is correct
2 Correct 103 ms 12024 KB Output is correct
3 Correct 101 ms 10360 KB Output is correct
4 Correct 146 ms 11128 KB Output is correct
5 Correct 106 ms 9692 KB Output is correct
6 Correct 155 ms 10616 KB Output is correct
7 Correct 104 ms 9336 KB Output is correct
8 Correct 100 ms 9848 KB Output is correct
9 Correct 99 ms 8952 KB Output is correct
10 Correct 105 ms 9208 KB Output is correct
11 Correct 78 ms 8952 KB Output is correct
12 Correct 78 ms 8824 KB Output is correct
13 Correct 71 ms 8824 KB Output is correct
14 Correct 95 ms 8820 KB Output is correct
15 Correct 50 ms 8696 KB Output is correct
16 Correct 50 ms 8568 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 6264 KB Output is correct
20 Correct 9 ms 6136 KB Output is correct
21 Correct 9 ms 6648 KB Output is correct
22 Correct 8 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 8 ms 4728 KB Output is correct
7 Correct 8 ms 5112 KB Output is correct
8 Correct 7 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 8 ms 4728 KB Output is correct
13 Correct 7 ms 4728 KB Output is correct
14 Correct 8 ms 4700 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 7 ms 4728 KB Output is correct
19 Correct 8 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 116 ms 8252 KB Output is correct
2 Correct 115 ms 8340 KB Output is correct
3 Correct 117 ms 8312 KB Output is correct
4 Correct 123 ms 8316 KB Output is correct
5 Correct 122 ms 8312 KB Output is correct
6 Correct 126 ms 11996 KB Output is correct
7 Correct 98 ms 9392 KB Output is correct
8 Correct 98 ms 9080 KB Output is correct
9 Correct 89 ms 8824 KB Output is correct
10 Correct 86 ms 8312 KB Output is correct
11 Correct 98 ms 8436 KB Output is correct
12 Correct 109 ms 8440 KB Output is correct
13 Correct 121 ms 8312 KB Output is correct
14 Correct 114 ms 8312 KB Output is correct
15 Correct 71 ms 8312 KB Output is correct
16 Correct 45 ms 7928 KB Output is correct
17 Correct 52 ms 8560 KB Output is correct
18 Correct 52 ms 8556 KB Output is correct
19 Correct 54 ms 8648 KB Output is correct
20 Correct 53 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 4732 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 81 ms 8312 KB Output is correct
2 Correct 83 ms 8212 KB Output is correct
3 Incorrect 111 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 2808 KB Output is correct
4 Correct 4 ms 2684 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 9 ms 2680 KB Output is correct
9 Correct 5 ms 2680 KB Output is correct
10 Correct 5 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 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 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 2676 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 5 ms 2728 KB Output is correct
35 Correct 5 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 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 2808 KB Output is correct
4 Correct 4 ms 2684 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 9 ms 2680 KB Output is correct
9 Correct 5 ms 2680 KB Output is correct
10 Correct 5 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 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 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 2676 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 5 ms 2728 KB Output is correct
35 Correct 5 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 4728 KB Output isn't correct
39 Halted 0 ms 0 KB -