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Submission #729814

# Submission time Handle Problem Language Result Execution time Memory
729814 2023-04-24T16:09:36 Z Tigerpants Tug of War (BOI15_tug) C++17
100 / 100
 83 ms 11636 KB 
#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <functional>
#include <bitset>

using namespace std;

typedef long long int ll;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef set<ll> sll;
typedef vector<sll> vsll;
typedef map<ll, ll> mll_ll;

#define rep(i, a, b) for (ll i = a; i < b; i++)
#define mp(a, b) make_pair(a, b)
#define pb(a) push_back(a)
#define sz(a) a.size()

const ll MAXW = 20 * 30001;

ll n, k;

vll v;
vpll e;
vsll g;

ll getE(ll i, ll o) {
    return (o == e[i].first) ? e[i].second: e[i].first;
}

vll diffs;

ll DFS(ll cur) {
    if (sz(g[cur]) == 0) {
        return 0;
    }
    ll p = *g[cur].begin();
    ll nxt = getE(p, cur);
    g[cur].erase(p);
    g[nxt].erase(p);
    return v[p] - DFS(nxt);
}

bitset<MAXW> dp;

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    cin >> n >> k;
    v.resize(2 * n);
    e.resize(2 * n);
    g.resize(2 * n);

    rep(i, 0, 2 * n) {
        ll l, r;
        cin >> l >> r >> v[i];
        l--; r--;
        e[i] = mp(l, r + n);
        g[l].insert(i);
        g[r + n].insert(i);
    }

    vll leaves;
    rep(i, 0, 2 * n) {
        if (sz(g[i]) == 1) leaves.pb(i);
    }

    ll diff = 0;

    while (!leaves.empty()) {
        ll nxt = leaves.back();
        leaves.pop_back();
        ll p = *g[nxt].begin();
        diff += (nxt >= n) ? v[p] : -v[p];
        ll oth = getE(p, nxt);
        g[oth].erase(p);
        g[nxt].clear();

        if (sz(g[oth]) == 1) leaves.pb(oth);
    }

    rep(i, 0, 2 * n) {
        if ((sz(g[i]) != 0) && (sz(g[i]) != 2)) {
            cout << "NO" << endl;
            return 0;
        }
    }

    rep(i, 0, 2 * n) {
        if (sz(g[i])) {
            diffs.pb(llabs(DFS(i)));
        }
    }

    mll_ll w;
    rep(i, 0, sz(diffs)) {
        ll t = diffs[i];
        w[t]++;
        while (w[t] == 3) {
            w[t] -= 2;
            t *= 2;
            w[t]++;
        }
    }

    diff = llabs(diff);

    dp[0] = true;

    ll S = 0;

    for (mll_ll::iterator itr = w.begin(); itr != w.end(); itr++) {
        rep(i, 0, itr->second) {
            dp |= (dp << itr->first);
            S += itr->first;
        }
    }

    bool is_poss = false;
    rep(i, 0, MAXW) {
        is_poss |= (llabs((2 * i) - S + diff) <= k) && dp[i];
    }

    if (is_poss) {
        cout << "YES" << endl;
    } else {
        cout << "NO" << endl;
    }

    // now we check whether we have attained a sum S in dp for which: |2 * S - diff| ≤ k

    return 0;
}

Compilation message

tug.cpp: In function 'int main()':
tug.cpp:21:39: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   21 | #define rep(i, a, b) for (ll i = a; i < b; i++)
      |                                       ^
tug.cpp:104:5: note: in expansion of macro 'rep'
  104 |     rep(i, 0, sz(diffs)) {
      |     ^~~

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 2 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 2 ms 472 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 472 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 2 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 2 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 2 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 2 ms 472 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 472 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 2 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 2 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 5 ms 1248 KB Output is correct
27 Correct 7 ms 1124 KB Output is correct
28 Correct 5 ms 1236 KB Output is correct
29 Correct 12 ms 1264 KB Output is correct
30 Correct 5 ms 1236 KB Output is correct
31 Correct 7 ms 1252 KB Output is correct
32 Correct 6 ms 1252 KB Output is correct
33 Correct 8 ms 1264 KB Output is correct
34 Correct 3 ms 1124 KB Output is correct
35 Correct 8 ms 1364 KB Output is correct
36 Correct 5 ms 1236 KB Output is correct
37 Correct 7 ms 1136 KB Output is correct
38 Correct 5 ms 1236 KB Output is correct
39 Correct 8 ms 1264 KB Output is correct
40 Correct 5 ms 1264 KB Output is correct
41 Correct 8 ms 1232 KB Output is correct
42 Correct 5 ms 1232 KB Output is correct
43 Correct 7 ms 1236 KB Output is correct
44 Correct 4 ms 1236 KB Output is correct
45 Correct 7 ms 1236 KB Output is correct
46 Correct 5 ms 1248 KB Output is correct
47 Correct 3 ms 1120 KB Output is correct
48 Correct 5 ms 1240 KB Output is correct
49 Correct 5 ms 1284 KB Output is correct
50 Correct 4 ms 1356 KB Output is correct
51 Correct 4 ms 1236 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 4196 KB Output is correct
2 Correct 10 ms 4112 KB Output is correct
3 Correct 11 ms 4188 KB Output is correct
4 Correct 10 ms 4004 KB Output is correct
5 Correct 11 ms 4196 KB Output is correct
6 Correct 13 ms 4060 KB Output is correct
7 Correct 10 ms 4180 KB Output is correct
8 Correct 10 ms 4052 KB Output is correct
9 Correct 11 ms 4180 KB Output is correct
10 Correct 11 ms 4112 KB Output is correct
11 Correct 17 ms 4200 KB Output is correct
12 Correct 16 ms 4052 KB Output is correct
13 Correct 13 ms 4220 KB Output is correct
14 Correct 10 ms 4180 KB Output is correct
15 Correct 10 ms 4040 KB Output is correct
16 Correct 12 ms 4256 KB Output is correct
17 Correct 9 ms 4016 KB Output is correct
18 Correct 11 ms 4180 KB Output is correct
19 Correct 14 ms 4008 KB Output is correct
20 Correct 11 ms 4192 KB Output is correct
21 Correct 18 ms 4072 KB Output is correct
22 Correct 21 ms 4172 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 2 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 2 ms 472 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 472 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 2 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 2 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 5 ms 1248 KB Output is correct
27 Correct 7 ms 1124 KB Output is correct
28 Correct 5 ms 1236 KB Output is correct
29 Correct 12 ms 1264 KB Output is correct
30 Correct 5 ms 1236 KB Output is correct
31 Correct 7 ms 1252 KB Output is correct
32 Correct 6 ms 1252 KB Output is correct
33 Correct 8 ms 1264 KB Output is correct
34 Correct 3 ms 1124 KB Output is correct
35 Correct 8 ms 1364 KB Output is correct
36 Correct 5 ms 1236 KB Output is correct
37 Correct 7 ms 1136 KB Output is correct
38 Correct 5 ms 1236 KB Output is correct
39 Correct 8 ms 1264 KB Output is correct
40 Correct 5 ms 1264 KB Output is correct
41 Correct 8 ms 1232 KB Output is correct
42 Correct 5 ms 1232 KB Output is correct
43 Correct 7 ms 1236 KB Output is correct
44 Correct 4 ms 1236 KB Output is correct
45 Correct 7 ms 1236 KB Output is correct
46 Correct 5 ms 1248 KB Output is correct
47 Correct 3 ms 1120 KB Output is correct
48 Correct 5 ms 1240 KB Output is correct
49 Correct 5 ms 1284 KB Output is correct
50 Correct 4 ms 1356 KB Output is correct
51 Correct 4 ms 1236 KB Output is correct
52 Correct 11 ms 4196 KB Output is correct
53 Correct 10 ms 4112 KB Output is correct
54 Correct 11 ms 4188 KB Output is correct
55 Correct 10 ms 4004 KB Output is correct
56 Correct 11 ms 4196 KB Output is correct
57 Correct 13 ms 4060 KB Output is correct
58 Correct 10 ms 4180 KB Output is correct
59 Correct 10 ms 4052 KB Output is correct
60 Correct 11 ms 4180 KB Output is correct
61 Correct 11 ms 4112 KB Output is correct
62 Correct 17 ms 4200 KB Output is correct
63 Correct 16 ms 4052 KB Output is correct
64 Correct 13 ms 4220 KB Output is correct
65 Correct 10 ms 4180 KB Output is correct
66 Correct 10 ms 4040 KB Output is correct
67 Correct 12 ms 4256 KB Output is correct
68 Correct 9 ms 4016 KB Output is correct
69 Correct 11 ms 4180 KB Output is correct
70 Correct 14 ms 4008 KB Output is correct
71 Correct 11 ms 4192 KB Output is correct
72 Correct 18 ms 4072 KB Output is correct
73 Correct 21 ms 4172 KB Output is correct
74 Correct 68 ms 11544 KB Output is correct
75 Correct 74 ms 11160 KB Output is correct
76 Correct 48 ms 11468 KB Output is correct
77 Correct 72 ms 11240 KB Output is correct
78 Correct 48 ms 11472 KB Output is correct
79 Correct 57 ms 11592 KB Output is correct
80 Correct 83 ms 11260 KB Output is correct
81 Correct 61 ms 11112 KB Output is correct
82 Correct 30 ms 11112 KB Output is correct
83 Correct 55 ms 11524 KB Output is correct
84 Correct 66 ms 11144 KB Output is correct
85 Correct 61 ms 11472 KB Output is correct
86 Correct 65 ms 11324 KB Output is correct
87 Correct 50 ms 11584 KB Output is correct
88 Correct 72 ms 11160 KB Output is correct
89 Correct 47 ms 11584 KB Output is correct
90 Correct 73 ms 11224 KB Output is correct
91 Correct 52 ms 11468 KB Output is correct
92 Correct 66 ms 11240 KB Output is correct
93 Correct 40 ms 11520 KB Output is correct
94 Correct 39 ms 11536 KB Output is correct
95 Correct 49 ms 11576 KB Output is correct
96 Correct 57 ms 11636 KB Output is correct
97 Correct 41 ms 11500 KB Output is correct
98 Correct 38 ms 11544 KB Output is correct