oj.uz

Submission #752724

# Submission time Handle Problem Language Result Execution time Memory
752724 2023-06-03T13:36:36 Z GrindMachine Tug of War (BOI15_tug) C++17
71 / 100
 414 ms 4052 KB 
// Om Namah Shivaya

#pragma GCC optimize("O3","unroll-loops")
#pragma GCC target("avx2")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "YES" << endl
#define no cout << "NO" << endl

#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a, b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a, b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*

refs:
https://github.com/tmwilliamlin168/CompetitiveProgramming/blob/master/BtOI/15-Tug.cpp
https://github.com/nikolapesic2802/Programming-Practice/blob/master/Tug%20of%20War/main.cpp

*/

const int MOD = 1e9 + 7;
const int N = 3e4 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

vector<array<ll,3>> adj[N];

void solve(int test_case)
{
    ll n,k; cin >> n >> k;
    vector<ll> deg(2*n+5);

    rep1(i,2*n){
        ll u,v,w; cin >> u >> v >> w;
        v += n;
        adj[u].pb({v,w,i});
        adj[v].pb({u,w,i});
        deg[u]++, deg[v]++;
    }

    queue<ll> q;
    vector<bool> vis_node(2*n+5), vis_edge(2*n+5);

    rep1(i,2*n){
        if(deg[i] < 2){
            q.push(i);
        }
    }

    ll diff = 0;

    while(!q.empty()){
        ll u = q.front();
        q.pop();
    
        vis_node[u] = 1;

        if(!deg[u]){
            no;
            return;
        }

        for(auto [v, w, id] : adj[u]){
            if(vis_edge[id]) conts;
            vis_edge[id] = 1;
            deg[v]--;

            if(deg[v] < 2){
                q.push(v);
            }

            if(u <= n) diff += w;
            else diff -= w;
        }
    }

    rep1(u,2*n){
        if(vis_node[u]) conts;
        vector<array<ll,3>> good;

        for(auto [v, w, id] : adj[u]){
            if(vis_node[v]) conts;
            good.pb({v,w,id});
        }

        assert(sz(good) == 2);
        adj[u] = good;
    }

    vector<ll> vals;

    rep1(u,2*n){
        if(vis_node[u]) conts;

        vector<ll> weights;
        ll ptr = u;
        ll prev_id = -1;

        while(true){
            if(ptr == u and prev_id != -1){
                break;
            }

            vis_node[ptr] = 1;

            for(auto [v, w, id] : adj[ptr]){
                if(id == prev_id) conts;
                weights.pb(w);
                ptr = v;
                prev_id = id;
                break;
            }
        }

        ll val = 0;
        rep(i,sz(weights)){
            ll c = -1;
            if(!(i & 1)) c = 1;
            val += c * weights[i];
        }

        val = abs(val);
        vals.pb(val);
    }

    bitset<40*N> dp;
    dp[20*N] = 1;

    trav(x,vals){
        dp = (dp << x) | (dp >> x);
    }

    rep(i,40*N){
        if(dp[i]){
            ll d = i - 20*N;
            ll diff2 = diff + d;
            if(abs(diff2) <= k){
                yes;
                return;
            }
        }
    }

    no;
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Compilation message

tug.cpp: In function 'void solve(int)':
tug.cpp:33:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   33 | #define rep(i, n) for(int i = 0; i < n; ++i)
      |                                    ^
tug.cpp:157:9: note: in expansion of macro 'rep'
  157 |         rep(i,sz(weights)){
      |         ^~~

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1492 KB Output is correct
2 Correct 2 ms 1492 KB Output is correct
3 Correct 3 ms 1492 KB Output is correct
4 Correct 2 ms 1492 KB Output is correct
5 Correct 3 ms 1492 KB Output is correct
6 Correct 3 ms 1492 KB Output is correct
7 Correct 2 ms 1612 KB Output is correct
8 Correct 2 ms 1492 KB Output is correct
9 Correct 2 ms 1612 KB Output is correct
10 Correct 2 ms 1492 KB Output is correct
11 Correct 2 ms 1492 KB Output is correct
12 Correct 2 ms 1492 KB Output is correct
13 Correct 2 ms 1492 KB Output is correct
14 Correct 2 ms 1492 KB Output is correct
15 Correct 2 ms 1492 KB Output is correct
16 Correct 2 ms 1492 KB Output is correct
17 Correct 3 ms 1492 KB Output is correct
18 Correct 2 ms 1492 KB Output is correct
19 Correct 2 ms 1492 KB Output is correct
20 Correct 2 ms 1492 KB Output is correct
21 Correct 1 ms 1492 KB Output is correct
22 Correct 2 ms 1492 KB Output is correct
23 Correct 3 ms 1492 KB Output is correct
24 Correct 2 ms 1492 KB Output is correct
25 Correct 2 ms 1492 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1492 KB Output is correct
2 Correct 2 ms 1492 KB Output is correct
3 Correct 3 ms 1492 KB Output is correct
4 Correct 2 ms 1492 KB Output is correct
5 Correct 3 ms 1492 KB Output is correct
6 Correct 3 ms 1492 KB Output is correct
7 Correct 2 ms 1612 KB Output is correct
8 Correct 2 ms 1492 KB Output is correct
9 Correct 2 ms 1612 KB Output is correct
10 Correct 2 ms 1492 KB Output is correct
11 Correct 2 ms 1492 KB Output is correct
12 Correct 2 ms 1492 KB Output is correct
13 Correct 2 ms 1492 KB Output is correct
14 Correct 2 ms 1492 KB Output is correct
15 Correct 2 ms 1492 KB Output is correct
16 Correct 2 ms 1492 KB Output is correct
17 Correct 3 ms 1492 KB Output is correct
18 Correct 2 ms 1492 KB Output is correct
19 Correct 2 ms 1492 KB Output is correct
20 Correct 2 ms 1492 KB Output is correct
21 Correct 1 ms 1492 KB Output is correct
22 Correct 2 ms 1492 KB Output is correct
23 Correct 3 ms 1492 KB Output is correct
24 Correct 2 ms 1492 KB Output is correct
25 Correct 2 ms 1492 KB Output is correct
26 Correct 112 ms 1948 KB Output is correct
27 Correct 18 ms 1876 KB Output is correct
28 Correct 110 ms 1956 KB Output is correct
29 Correct 18 ms 1876 KB Output is correct
30 Correct 116 ms 1952 KB Output is correct
31 Correct 19 ms 1876 KB Output is correct
32 Correct 116 ms 1948 KB Output is correct
33 Correct 22 ms 1876 KB Output is correct
34 Correct 14 ms 1952 KB Output is correct
35 Correct 18 ms 1876 KB Output is correct
36 Correct 114 ms 1944 KB Output is correct
37 Correct 18 ms 1964 KB Output is correct
38 Correct 114 ms 1948 KB Output is correct
39 Correct 18 ms 1876 KB Output is correct
40 Correct 103 ms 1944 KB Output is correct
41 Correct 20 ms 1876 KB Output is correct
42 Correct 133 ms 1948 KB Output is correct
43 Correct 22 ms 1876 KB Output is correct
44 Correct 132 ms 1948 KB Output is correct
45 Correct 22 ms 1964 KB Output is correct
46 Correct 108 ms 1948 KB Output is correct
47 Correct 3 ms 1876 KB Output is correct
48 Correct 62 ms 1912 KB Output is correct
49 Correct 66 ms 1920 KB Output is correct
50 Correct 116 ms 1952 KB Output is correct
51 Correct 110 ms 1956 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 357 ms 3260 KB Output is correct
2 Correct 9 ms 3192 KB Output is correct
3 Correct 399 ms 3264 KB Output is correct
4 Correct 8 ms 3252 KB Output is correct
5 Correct 362 ms 3284 KB Output is correct
6 Correct 8 ms 3156 KB Output is correct
7 Correct 374 ms 3268 KB Output is correct
8 Correct 9 ms 3156 KB Output is correct
9 Correct 357 ms 3264 KB Output is correct
10 Correct 8 ms 3156 KB Output is correct
11 Correct 414 ms 3284 KB Output is correct
12 Correct 8 ms 3156 KB Output is correct
13 Correct 333 ms 3264 KB Output is correct
14 Correct 327 ms 3284 KB Output is correct
15 Correct 8 ms 3156 KB Output is correct
16 Correct 402 ms 3284 KB Output is correct
17 Correct 8 ms 3156 KB Output is correct
18 Correct 344 ms 3260 KB Output is correct
19 Correct 7 ms 3156 KB Output is correct
20 Correct 379 ms 3284 KB Output is correct
21 Correct 9 ms 3156 KB Output is correct
22 Correct 161 ms 3260 KB Output is correct

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1492 KB Output is correct
2 Correct 2 ms 1492 KB Output is correct
3 Correct 3 ms 1492 KB Output is correct
4 Correct 2 ms 1492 KB Output is correct
5 Correct 3 ms 1492 KB Output is correct
6 Correct 3 ms 1492 KB Output is correct
7 Correct 2 ms 1612 KB Output is correct
8 Correct 2 ms 1492 KB Output is correct
9 Correct 2 ms 1612 KB Output is correct
10 Correct 2 ms 1492 KB Output is correct
11 Correct 2 ms 1492 KB Output is correct
12 Correct 2 ms 1492 KB Output is correct
13 Correct 2 ms 1492 KB Output is correct
14 Correct 2 ms 1492 KB Output is correct
15 Correct 2 ms 1492 KB Output is correct
16 Correct 2 ms 1492 KB Output is correct
17 Correct 3 ms 1492 KB Output is correct
18 Correct 2 ms 1492 KB Output is correct
19 Correct 2 ms 1492 KB Output is correct
20 Correct 2 ms 1492 KB Output is correct
21 Correct 1 ms 1492 KB Output is correct
22 Correct 2 ms 1492 KB Output is correct
23 Correct 3 ms 1492 KB Output is correct
24 Correct 2 ms 1492 KB Output is correct
25 Correct 2 ms 1492 KB Output is correct
26 Correct 112 ms 1948 KB Output is correct
27 Correct 18 ms 1876 KB Output is correct
28 Correct 110 ms 1956 KB Output is correct
29 Correct 18 ms 1876 KB Output is correct
30 Correct 116 ms 1952 KB Output is correct
31 Correct 19 ms 1876 KB Output is correct
32 Correct 116 ms 1948 KB Output is correct
33 Correct 22 ms 1876 KB Output is correct
34 Correct 14 ms 1952 KB Output is correct
35 Correct 18 ms 1876 KB Output is correct
36 Correct 114 ms 1944 KB Output is correct
37 Correct 18 ms 1964 KB Output is correct
38 Correct 114 ms 1948 KB Output is correct
39 Correct 18 ms 1876 KB Output is correct
40 Correct 103 ms 1944 KB Output is correct
41 Correct 20 ms 1876 KB Output is correct
42 Correct 133 ms 1948 KB Output is correct
43 Correct 22 ms 1876 KB Output is correct
44 Correct 132 ms 1948 KB Output is correct
45 Correct 22 ms 1964 KB Output is correct
46 Correct 108 ms 1948 KB Output is correct
47 Correct 3 ms 1876 KB Output is correct
48 Correct 62 ms 1912 KB Output is correct
49 Correct 66 ms 1920 KB Output is correct
50 Correct 116 ms 1952 KB Output is correct
51 Correct 110 ms 1956 KB Output is correct
52 Correct 357 ms 3260 KB Output is correct
53 Correct 9 ms 3192 KB Output is correct
54 Correct 399 ms 3264 KB Output is correct
55 Correct 8 ms 3252 KB Output is correct
56 Correct 362 ms 3284 KB Output is correct
57 Correct 8 ms 3156 KB Output is correct
58 Correct 374 ms 3268 KB Output is correct
59 Correct 9 ms 3156 KB Output is correct
60 Correct 357 ms 3264 KB Output is correct
61 Correct 8 ms 3156 KB Output is correct
62 Correct 414 ms 3284 KB Output is correct
63 Correct 8 ms 3156 KB Output is correct
64 Correct 333 ms 3264 KB Output is correct
65 Correct 327 ms 3284 KB Output is correct
66 Correct 8 ms 3156 KB Output is correct
67 Correct 402 ms 3284 KB Output is correct
68 Correct 8 ms 3156 KB Output is correct
69 Correct 344 ms 3260 KB Output is correct
70 Correct 7 ms 3156 KB Output is correct
71 Correct 379 ms 3284 KB Output is correct
72 Correct 9 ms 3156 KB Output is correct
73 Correct 161 ms 3260 KB Output is correct
74 Runtime error 3 ms 4052 KB Execution killed with signal 11
75 Halted 0 ms 0 KB -