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Submission #887615

# Submission time Handle Problem Language Result Execution time Memory
887615 2023-12-14T20:25:11 Z Shayan86 Tug of War (BOI15_tug) C++17
18 / 100
 358 ms 4912 KB 
#include <bits/stdc++.h>
using namespace std;

#pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// Ofast, O0, O1, O2, O3, unroll-loops, fast-math, trapv

typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;

#define Mp          make_pair
#define sep         ' '
#define endl        '\n'
#define F	        first
#define S	        second
#define pb          push_back
#define all(x)      (x).begin(),(x).end()
#define kill(res)	cout << res << '\n', exit(0);
#define set_dec(x)	cout << fixed << setprecision(x);
#define fast_io     ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define file_io     freopen("input.txt", "r", stdin) ; freopen("output.txt", "w", stdout);

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const ll N = 6e4 + 50;
const ll Mod = 1e9 + 7;

ll n, k, s[N], par[N], h[N], f[N], sum, cnt;
pair<pii, int> edge;

bool mark[N];
vector<ll> vec;
vector<pii> adj[N];

void dfs(int v){
    mark[v] = 1;
    for(auto [u, w]: adj[v]){
        if(u == par[v]) continue;
        else if(mark[u]){
            edge = Mp(Mp(v, u), w);
            continue;
        }
        par[u] = v; h[u] = h[v] + 1; f[u] = w - f[v]; dfs(u);

        if(h[v] % 2) sum += w;
        else sum -= w;
    }
}

const ll M = 10 * N;

bitset<2*M> diff;

void check(int v){
    mark[v] = 1;
    for(auto [u, w]: adj[v]){
        if(!mark[u]) check(u);
    }
    cnt++; sum += adj[v].size();
}

int main(){
    fast_io;

    cin >> n >> k;

    int l, r;
    for(int i = 1; i <= 2*n; i++){
        cin >> l >> r >> s[i]; r += n;
        adj[l].pb(Mp(r, s[i]));
        adj[r].pb(Mp(l, s[i]));
    }

    for(int i = 1; i <= 2*n; i++){
        if(!mark[i]){
            sum = 0; cnt = 0; check(i);
            if(sum != cnt * 2) kill("NO");
        }
    }
    fill(mark, mark + N, 0);

    diff[M] = 1;
    for(int i = 1; i <= 2*n; i++){
        if(!mark[i]){
            sum = 0; dfs(i);
            
            int v = edge.F.F;
            int u = edge.F.S;
            int w = edge.S;

            if(h[v] % 2) sum -= w;
            else sum += w;

            ll sum2 = sum; // f[u] + f[v] - w
            if(h[v] % 2) sum2 -= (f[u] + f[v] - w);
            else sum2 += (f[u] + f[v] - w);
            
            if(sum2 >= 0) diff = diff << sum2;
            else diff = diff >> (-sum2);

            vec.pb(abs(sum - sum2));
            //cout << sum2 << sep << sum - sum2 << endl;
        }
    }

    for(auto x: vec){
        diff = (diff >> x) | (diff << x);
    }

    ll res = Mod;
    for(int i = 0; i < 2*M; i++) if(diff[i]) res = min(res, abs(M-i));

    //cout << res << endl;
    if(res <= k) cout << "YES";
    else cout << "NO";

}

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3416 KB Output is correct
2 Correct 2 ms 3420 KB Output is correct
3 Correct 2 ms 3420 KB Output is correct
4 Correct 2 ms 3416 KB Output is correct
5 Correct 2 ms 3420 KB Output is correct
6 Correct 2 ms 3420 KB Output is correct
7 Correct 2 ms 3420 KB Output is correct
8 Correct 2 ms 3420 KB Output is correct
9 Correct 3 ms 3420 KB Output is correct
10 Correct 2 ms 3420 KB Output is correct
11 Correct 2 ms 3420 KB Output is correct
12 Correct 2 ms 3420 KB Output is correct
13 Correct 2 ms 3420 KB Output is correct
14 Correct 2 ms 3432 KB Output is correct
15 Correct 2 ms 3420 KB Output is correct
16 Correct 2 ms 3428 KB Output is correct
17 Correct 2 ms 3420 KB Output is correct
18 Correct 3 ms 3420 KB Output is correct
19 Correct 2 ms 3384 KB Output is correct
20 Correct 2 ms 3416 KB Output is correct
21 Correct 1 ms 2908 KB Output is correct
22 Correct 2 ms 3420 KB Output is correct
23 Correct 2 ms 3420 KB Output is correct
24 Correct 2 ms 3420 KB Output is correct
25 Correct 2 ms 3420 KB Output is correct

Subtask #2
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3416 KB Output is correct
2 Correct 2 ms 3420 KB Output is correct
3 Correct 2 ms 3420 KB Output is correct
4 Correct 2 ms 3416 KB Output is correct
5 Correct 2 ms 3420 KB Output is correct
6 Correct 2 ms 3420 KB Output is correct
7 Correct 2 ms 3420 KB Output is correct
8 Correct 2 ms 3420 KB Output is correct
9 Correct 3 ms 3420 KB Output is correct
10 Correct 2 ms 3420 KB Output is correct
11 Correct 2 ms 3420 KB Output is correct
12 Correct 2 ms 3420 KB Output is correct
13 Correct 2 ms 3420 KB Output is correct
14 Correct 2 ms 3432 KB Output is correct
15 Correct 2 ms 3420 KB Output is correct
16 Correct 2 ms 3428 KB Output is correct
17 Correct 2 ms 3420 KB Output is correct
18 Correct 3 ms 3420 KB Output is correct
19 Correct 2 ms 3384 KB Output is correct
20 Correct 2 ms 3416 KB Output is correct
21 Correct 1 ms 2908 KB Output is correct
22 Correct 2 ms 3420 KB Output is correct
23 Correct 2 ms 3420 KB Output is correct
24 Correct 2 ms 3420 KB Output is correct
25 Correct 2 ms 3420 KB Output is correct
26 Correct 105 ms 3652 KB Output is correct
27 Correct 17 ms 3420 KB Output is correct
28 Correct 100 ms 3672 KB Output is correct
29 Correct 17 ms 3416 KB Output is correct
30 Correct 105 ms 3672 KB Output is correct
31 Correct 17 ms 3672 KB Output is correct
32 Correct 102 ms 3672 KB Output is correct
33 Correct 17 ms 3884 KB Output is correct
34 Correct 10 ms 3672 KB Output is correct
35 Correct 17 ms 3420 KB Output is correct
36 Correct 102 ms 3676 KB Output is correct
37 Correct 16 ms 3420 KB Output is correct
38 Correct 103 ms 3656 KB Output is correct
39 Correct 16 ms 3672 KB Output is correct
40 Correct 107 ms 3660 KB Output is correct
41 Correct 17 ms 3416 KB Output is correct
42 Correct 104 ms 3420 KB Output is correct
43 Correct 20 ms 3420 KB Output is correct
44 Correct 103 ms 3648 KB Output is correct
45 Correct 19 ms 3416 KB Output is correct
46 Correct 103 ms 3420 KB Output is correct
47 Correct 2 ms 3164 KB Output is correct
48 Correct 61 ms 3676 KB Output is correct
49 Incorrect 70 ms 3672 KB Output isn't correct
50 Halted 0 ms 0 KB -

Subtask #3
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 341 ms 4900 KB Output is correct
2 Correct 6 ms 4188 KB Output is correct
3 Correct 340 ms 4728 KB Output is correct
4 Correct 6 ms 4188 KB Output is correct
5 Correct 346 ms 4912 KB Output is correct
6 Correct 7 ms 4188 KB Output is correct
7 Correct 342 ms 4732 KB Output is correct
8 Correct 6 ms 4184 KB Output is correct
9 Correct 341 ms 4660 KB Output is correct
10 Correct 6 ms 4188 KB Output is correct
11 Correct 344 ms 4652 KB Output is correct
12 Correct 6 ms 4188 KB Output is correct
13 Correct 328 ms 4628 KB Output is correct
14 Correct 342 ms 4692 KB Output is correct
15 Correct 8 ms 4444 KB Output is correct
16 Correct 355 ms 4568 KB Output is correct
17 Correct 6 ms 4188 KB Output is correct
18 Correct 358 ms 4540 KB Output is correct
19 Correct 6 ms 4184 KB Output is correct
20 Correct 353 ms 4592 KB Output is correct
21 Correct 9 ms 4184 KB Output is correct
22 Incorrect 216 ms 4744 KB Output isn't correct
23 Halted 0 ms 0 KB -

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3416 KB Output is correct
2 Correct 2 ms 3420 KB Output is correct
3 Correct 2 ms 3420 KB Output is correct
4 Correct 2 ms 3416 KB Output is correct
5 Correct 2 ms 3420 KB Output is correct
6 Correct 2 ms 3420 KB Output is correct
7 Correct 2 ms 3420 KB Output is correct
8 Correct 2 ms 3420 KB Output is correct
9 Correct 3 ms 3420 KB Output is correct
10 Correct 2 ms 3420 KB Output is correct
11 Correct 2 ms 3420 KB Output is correct
12 Correct 2 ms 3420 KB Output is correct
13 Correct 2 ms 3420 KB Output is correct
14 Correct 2 ms 3432 KB Output is correct
15 Correct 2 ms 3420 KB Output is correct
16 Correct 2 ms 3428 KB Output is correct
17 Correct 2 ms 3420 KB Output is correct
18 Correct 3 ms 3420 KB Output is correct
19 Correct 2 ms 3384 KB Output is correct
20 Correct 2 ms 3416 KB Output is correct
21 Correct 1 ms 2908 KB Output is correct
22 Correct 2 ms 3420 KB Output is correct
23 Correct 2 ms 3420 KB Output is correct
24 Correct 2 ms 3420 KB Output is correct
25 Correct 2 ms 3420 KB Output is correct
26 Correct 105 ms 3652 KB Output is correct
27 Correct 17 ms 3420 KB Output is correct
28 Correct 100 ms 3672 KB Output is correct
29 Correct 17 ms 3416 KB Output is correct
30 Correct 105 ms 3672 KB Output is correct
31 Correct 17 ms 3672 KB Output is correct
32 Correct 102 ms 3672 KB Output is correct
33 Correct 17 ms 3884 KB Output is correct
34 Correct 10 ms 3672 KB Output is correct
35 Correct 17 ms 3420 KB Output is correct
36 Correct 102 ms 3676 KB Output is correct
37 Correct 16 ms 3420 KB Output is correct
38 Correct 103 ms 3656 KB Output is correct
39 Correct 16 ms 3672 KB Output is correct
40 Correct 107 ms 3660 KB Output is correct
41 Correct 17 ms 3416 KB Output is correct
42 Correct 104 ms 3420 KB Output is correct
43 Correct 20 ms 3420 KB Output is correct
44 Correct 103 ms 3648 KB Output is correct
45 Correct 19 ms 3416 KB Output is correct
46 Correct 103 ms 3420 KB Output is correct
47 Correct 2 ms 3164 KB Output is correct
48 Correct 61 ms 3676 KB Output is correct
49 Incorrect 70 ms 3672 KB Output isn't correct
50 Halted 0 ms 0 KB -