Submission #1000838

# Submission time Handle Problem Language Result Execution time Memory
1000838 2024-06-18T09:59:15 Z LOLOLO Tug of War (BOI15_tug) C++17
100 / 100
1614 ms 12780 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
 
#define           f     first
#define           s     second
#define           pb    push_back
#define           ep    emplace
#define           eb    emplace_back
#define           lb    lower_bound
#define           ub    upper_bound
#define       all(x)    x.begin(), x.end()
#define      rall(x)    x.rbegin(), x.rend()
#define   uniquev(v)    sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define     mem(f,x)    memset(f , x , sizeof(f))
#define        sz(x)    (ll)(x).size()
#define  __lcm(a, b)    (1ll * ((a) / __gcd((a), (b))) * (b))
#define          mxx    *max_element
#define          mnn    *min_element
#define    cntbit(x)    __builtin_popcountll(x)
#define       len(x)    (int)(x.length())
 
const int N = 1e5 + 100;
set <pair <int, int>> ed[N];
bool used[N];
int st = 0, s[N];

pair <int, int> dfs(int u, int v) {
    if (used[u])
        return {0, 0};

    used[u] = 1; 
    pair <int, int> A = {0, 0};
    for (auto x : ed[u]) {
        if (x.s == v)
            continue;
 
        A = dfs(x.f, x.s);
        A.f += s[x.s];
        swap(A.f, A.s);
    }
 
    return A;
}
 
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
 
    int n, k;
    cin >> n >> k;
 
    int S = 0;
    for (int i = 1; i <= n * 2; i++) {
        int l, r;
        cin >> l >> r >> s[i];
        ed[l].insert({r + n, i});
        ed[r + n].insert({l, i});
        S += s[i];
    } 
 
    queue <int> pq;
    int sz = n * 2;
    for (int i = 1; i <= sz; i++) {
        if (sz(ed[i]) == 0) {
            cout << "NO\n";
            return 0;
        }
 
        if (sz(ed[i]) == 1)
            pq.push(i);
    }
 
    int L = 0;
    while (sz(pq)) {
        int t = pq.front();
        pq.pop();

        if (sz(ed[t]) == 0) {
            continue;
        }
 
        auto it = *ed[t].begin();
        int nxt = it.f, cost = it.s;
        pair <int, int> pat = {t, cost};
 
        ed[nxt].erase(pat);
        ed[t].clear();
        if (t <= n)
            L += s[cost];
 
        if (sz(ed[nxt]) == 1) {
            pq.push(nxt);
        }
    }
 
    for (int i = 1; i <= sz; i++) {
        if (sz(ed[i]) > 2) {
            cout << "NO\n";
            return 0;
        }
    }
 
    bitset <1000001> dp;
    dp[0] = 1;
 
    for (int i = 1; i <= sz; i++) {
        if (sz(ed[i]) == 2 && used[i] == 0) {
            auto it = *ed[i].begin();
            pair <int, int> A = dfs(i, it.s);
            dp = (dp << A.f) | (dp << A.s);
        }
    }
 
 
    for (int i = 0; i <= 600000; i++) {
        if (dp[i]) {
            if (abs((S - (L + i)) - (L + i)) <= k) {
                cout << "YES\n";
                return 0;
            }
        }
    }
 
    cout << "NO\n";
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5976 KB Output is correct
2 Correct 3 ms 5976 KB Output is correct
3 Correct 2 ms 5980 KB Output is correct
4 Correct 2 ms 5980 KB Output is correct
5 Correct 2 ms 5976 KB Output is correct
6 Correct 2 ms 5980 KB Output is correct
7 Correct 2 ms 5980 KB Output is correct
8 Correct 2 ms 5980 KB Output is correct
9 Correct 2 ms 5980 KB Output is correct
10 Correct 2 ms 5876 KB Output is correct
11 Correct 2 ms 5980 KB Output is correct
12 Correct 2 ms 5980 KB Output is correct
13 Correct 2 ms 5980 KB Output is correct
14 Correct 2 ms 5980 KB Output is correct
15 Correct 2 ms 5980 KB Output is correct
16 Correct 2 ms 5980 KB Output is correct
17 Correct 2 ms 5980 KB Output is correct
18 Correct 2 ms 5976 KB Output is correct
19 Correct 2 ms 5980 KB Output is correct
20 Correct 2 ms 5980 KB Output is correct
21 Correct 1 ms 5724 KB Output is correct
22 Correct 1 ms 5980 KB Output is correct
23 Correct 2 ms 5980 KB Output is correct
24 Correct 2 ms 5980 KB Output is correct
25 Correct 2 ms 5980 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5976 KB Output is correct
2 Correct 3 ms 5976 KB Output is correct
3 Correct 2 ms 5980 KB Output is correct
4 Correct 2 ms 5980 KB Output is correct
5 Correct 2 ms 5976 KB Output is correct
6 Correct 2 ms 5980 KB Output is correct
7 Correct 2 ms 5980 KB Output is correct
8 Correct 2 ms 5980 KB Output is correct
9 Correct 2 ms 5980 KB Output is correct
10 Correct 2 ms 5876 KB Output is correct
11 Correct 2 ms 5980 KB Output is correct
12 Correct 2 ms 5980 KB Output is correct
13 Correct 2 ms 5980 KB Output is correct
14 Correct 2 ms 5980 KB Output is correct
15 Correct 2 ms 5980 KB Output is correct
16 Correct 2 ms 5980 KB Output is correct
17 Correct 2 ms 5980 KB Output is correct
18 Correct 2 ms 5976 KB Output is correct
19 Correct 2 ms 5980 KB Output is correct
20 Correct 2 ms 5980 KB Output is correct
21 Correct 1 ms 5724 KB Output is correct
22 Correct 1 ms 5980 KB Output is correct
23 Correct 2 ms 5980 KB Output is correct
24 Correct 2 ms 5980 KB Output is correct
25 Correct 2 ms 5980 KB Output is correct
26 Correct 96 ms 6452 KB Output is correct
27 Correct 15 ms 6232 KB Output is correct
28 Correct 111 ms 6236 KB Output is correct
29 Correct 15 ms 6236 KB Output is correct
30 Correct 94 ms 6448 KB Output is correct
31 Correct 22 ms 6236 KB Output is correct
32 Correct 100 ms 6456 KB Output is correct
33 Correct 20 ms 6236 KB Output is correct
34 Correct 12 ms 6468 KB Output is correct
35 Correct 15 ms 6232 KB Output is correct
36 Correct 96 ms 6236 KB Output is correct
37 Correct 16 ms 6232 KB Output is correct
38 Correct 94 ms 6236 KB Output is correct
39 Correct 15 ms 6232 KB Output is correct
40 Correct 94 ms 6236 KB Output is correct
41 Correct 22 ms 6232 KB Output is correct
42 Correct 97 ms 6236 KB Output is correct
43 Correct 16 ms 6232 KB Output is correct
44 Correct 97 ms 6236 KB Output is correct
45 Correct 15 ms 6232 KB Output is correct
46 Correct 99 ms 6484 KB Output is correct
47 Correct 3 ms 6236 KB Output is correct
48 Correct 48 ms 6456 KB Output is correct
49 Correct 48 ms 6236 KB Output is correct
50 Correct 94 ms 6488 KB Output is correct
51 Correct 108 ms 6232 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 491 ms 8024 KB Output is correct
2 Correct 7 ms 7772 KB Output is correct
3 Correct 521 ms 8028 KB Output is correct
4 Correct 8 ms 7768 KB Output is correct
5 Correct 468 ms 8016 KB Output is correct
6 Correct 7 ms 7768 KB Output is correct
7 Correct 475 ms 8028 KB Output is correct
8 Correct 7 ms 7768 KB Output is correct
9 Correct 479 ms 8012 KB Output is correct
10 Correct 7 ms 7772 KB Output is correct
11 Correct 466 ms 8016 KB Output is correct
12 Correct 8 ms 7772 KB Output is correct
13 Correct 489 ms 8028 KB Output is correct
14 Correct 483 ms 8024 KB Output is correct
15 Correct 8 ms 7772 KB Output is correct
16 Correct 465 ms 8016 KB Output is correct
17 Correct 7 ms 7772 KB Output is correct
18 Correct 474 ms 8028 KB Output is correct
19 Correct 7 ms 7772 KB Output is correct
20 Correct 473 ms 8028 KB Output is correct
21 Correct 8 ms 7772 KB Output is correct
22 Correct 280 ms 8028 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5976 KB Output is correct
2 Correct 3 ms 5976 KB Output is correct
3 Correct 2 ms 5980 KB Output is correct
4 Correct 2 ms 5980 KB Output is correct
5 Correct 2 ms 5976 KB Output is correct
6 Correct 2 ms 5980 KB Output is correct
7 Correct 2 ms 5980 KB Output is correct
8 Correct 2 ms 5980 KB Output is correct
9 Correct 2 ms 5980 KB Output is correct
10 Correct 2 ms 5876 KB Output is correct
11 Correct 2 ms 5980 KB Output is correct
12 Correct 2 ms 5980 KB Output is correct
13 Correct 2 ms 5980 KB Output is correct
14 Correct 2 ms 5980 KB Output is correct
15 Correct 2 ms 5980 KB Output is correct
16 Correct 2 ms 5980 KB Output is correct
17 Correct 2 ms 5980 KB Output is correct
18 Correct 2 ms 5976 KB Output is correct
19 Correct 2 ms 5980 KB Output is correct
20 Correct 2 ms 5980 KB Output is correct
21 Correct 1 ms 5724 KB Output is correct
22 Correct 1 ms 5980 KB Output is correct
23 Correct 2 ms 5980 KB Output is correct
24 Correct 2 ms 5980 KB Output is correct
25 Correct 2 ms 5980 KB Output is correct
26 Correct 96 ms 6452 KB Output is correct
27 Correct 15 ms 6232 KB Output is correct
28 Correct 111 ms 6236 KB Output is correct
29 Correct 15 ms 6236 KB Output is correct
30 Correct 94 ms 6448 KB Output is correct
31 Correct 22 ms 6236 KB Output is correct
32 Correct 100 ms 6456 KB Output is correct
33 Correct 20 ms 6236 KB Output is correct
34 Correct 12 ms 6468 KB Output is correct
35 Correct 15 ms 6232 KB Output is correct
36 Correct 96 ms 6236 KB Output is correct
37 Correct 16 ms 6232 KB Output is correct
38 Correct 94 ms 6236 KB Output is correct
39 Correct 15 ms 6232 KB Output is correct
40 Correct 94 ms 6236 KB Output is correct
41 Correct 22 ms 6232 KB Output is correct
42 Correct 97 ms 6236 KB Output is correct
43 Correct 16 ms 6232 KB Output is correct
44 Correct 97 ms 6236 KB Output is correct
45 Correct 15 ms 6232 KB Output is correct
46 Correct 99 ms 6484 KB Output is correct
47 Correct 3 ms 6236 KB Output is correct
48 Correct 48 ms 6456 KB Output is correct
49 Correct 48 ms 6236 KB Output is correct
50 Correct 94 ms 6488 KB Output is correct
51 Correct 108 ms 6232 KB Output is correct
52 Correct 491 ms 8024 KB Output is correct
53 Correct 7 ms 7772 KB Output is correct
54 Correct 521 ms 8028 KB Output is correct
55 Correct 8 ms 7768 KB Output is correct
56 Correct 468 ms 8016 KB Output is correct
57 Correct 7 ms 7768 KB Output is correct
58 Correct 475 ms 8028 KB Output is correct
59 Correct 7 ms 7768 KB Output is correct
60 Correct 479 ms 8012 KB Output is correct
61 Correct 7 ms 7772 KB Output is correct
62 Correct 466 ms 8016 KB Output is correct
63 Correct 8 ms 7772 KB Output is correct
64 Correct 489 ms 8028 KB Output is correct
65 Correct 483 ms 8024 KB Output is correct
66 Correct 8 ms 7772 KB Output is correct
67 Correct 465 ms 8016 KB Output is correct
68 Correct 7 ms 7772 KB Output is correct
69 Correct 474 ms 8028 KB Output is correct
70 Correct 7 ms 7772 KB Output is correct
71 Correct 473 ms 8028 KB Output is correct
72 Correct 8 ms 7772 KB Output is correct
73 Correct 280 ms 8028 KB Output is correct
74 Correct 1421 ms 12664 KB Output is correct
75 Correct 73 ms 12636 KB Output is correct
76 Correct 1509 ms 12636 KB Output is correct
77 Correct 82 ms 12628 KB Output is correct
78 Correct 1614 ms 12624 KB Output is correct
79 Correct 1570 ms 12632 KB Output is correct
80 Correct 71 ms 12672 KB Output is correct
81 Correct 71 ms 12624 KB Output is correct
82 Correct 1446 ms 12680 KB Output is correct
83 Correct 1522 ms 12684 KB Output is correct
84 Correct 72 ms 12624 KB Output is correct
85 Correct 1487 ms 12676 KB Output is correct
86 Correct 84 ms 12632 KB Output is correct
87 Correct 1510 ms 12680 KB Output is correct
88 Correct 107 ms 12656 KB Output is correct
89 Correct 1591 ms 12680 KB Output is correct
90 Correct 76 ms 12380 KB Output is correct
91 Correct 1473 ms 12632 KB Output is correct
92 Correct 83 ms 12636 KB Output is correct
93 Correct 1402 ms 12632 KB Output is correct
94 Correct 21 ms 12376 KB Output is correct
95 Correct 758 ms 12656 KB Output is correct
96 Correct 754 ms 12780 KB Output is correct
97 Correct 1558 ms 12676 KB Output is correct
98 Correct 1402 ms 12632 KB Output is correct