oj.uz

Submission #978204

# Submission time Handle Problem Language Result Execution time Memory
978204 2024-05-09T03:17:31 Z model_code Ski 2 (JOI24_ski2) C++17
100 / 100
 246 ms 433132 KB 
#include <bits/stdc++.h>

using namespace std;

using ll = long long;

const ll INF = 1LL << 60;

void chmin(ll &a, ll b) { a = min(a, b); }

// [0] * m + [1] * m + ... + [w-1] * m + [w] * inf ã®å…ˆé ­ num é …ã®å’Œ
int f(int m, int w, int num) {
    int k = min(num / m, w);
    return k * (k - 1) / 2 * m + k * (num - k * m);
}

int main() {
    int n, k;
    cin >> n >> k;
    vector<int> h(n), c(n), hs;
    for (int i = 0; i < n; i++) {
        cin >> h[i] >> c[i];
        hs.push_back(h[i]);
        hs.push_back(h[i] + 1);
    }
    sort(hs.begin(), hs.end());
    hs.erase(unique(hs.begin(), hs.end()), hs.end());
    int sz = hs.size();
    vector<int> cnt(sz);
    vector<ll> min_c(sz, INF);
    for (int i = 0; i < n; i++) {
        int p = lower_bound(hs.begin(), hs.end(), h[i]) - hs.begin();
        ++cnt[p];
        chmin(min_c[p], c[i]);
    }
    vector dp(sz + 1, vector(n + 1, vector<ll>(n + 1, INF)));
    dp[0][1][0] = 0;
    ll mn = INF;
    for (int i = 0; i < sz; i++) {
        int w = (i + 1 < sz ? min(n, hs[i + 1] - hs[i]) : n);
        for (int m = 1; m <= n; m++) {
            for (int r = 0; r <= n; r++) {
                ll now = dp[i][m][r];
                if (now == INF) continue;
                if (m < n) chmin(dp[i][m + 1][r], now + mn);
                int num = r + cnt[i];
                chmin(dp[i + 1][m][max(num - m * w, 0)], now + (ll) k * f(m, w, num));
            }
        }
        chmin(mn, min_c[i]);
    }
    ll ans = INF;
    for (int m = 1; m <= n; m++) chmin(ans, dp[sz][m][0]);
    cout << ans << endl;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 128 ms 190028 KB Output is correct
2 Correct 97 ms 168520 KB Output is correct
3 Correct 88 ms 147028 KB Output is correct
4 Correct 73 ms 118784 KB Output is correct
5 Correct 73 ms 119624 KB Output is correct
6 Correct 57 ms 94556 KB Output is correct
7 Correct 16 ms 19804 KB Output is correct
8 Correct 2 ms 3164 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4696 KB Output is correct
2 Correct 3 ms 4696 KB Output is correct
3 Correct 5 ms 6748 KB Output is correct
4 Correct 5 ms 7004 KB Output is correct
5 Correct 60 ms 75100 KB Output is correct
6 Correct 60 ms 74444 KB Output is correct
7 Correct 104 ms 188712 KB Output is correct
8 Correct 138 ms 192888 KB Output is correct
9 Correct 15 ms 17496 KB Output is correct
10 Correct 28 ms 36188 KB Output is correct
11 Correct 28 ms 36188 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 436 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 600 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 436 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct

Subtask #4
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 436 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 600 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 436 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 948 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 1 ms 860 KB Output is correct
27 Correct 1 ms 836 KB Output is correct
28 Correct 1 ms 860 KB Output is correct
29 Correct 1 ms 860 KB Output is correct
30 Correct 1 ms 860 KB Output is correct
31 Correct 1 ms 860 KB Output is correct
32 Correct 1 ms 948 KB Output is correct
33 Correct 1 ms 860 KB Output is correct
34 Correct 1 ms 860 KB Output is correct
35 Correct 1 ms 860 KB Output is correct
36 Correct 1 ms 860 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 1 ms 436 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 604 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 1 ms 604 KB Output is correct
48 Correct 1 ms 604 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 128 ms 190028 KB Output is correct
2 Correct 97 ms 168520 KB Output is correct
3 Correct 88 ms 147028 KB Output is correct
4 Correct 73 ms 118784 KB Output is correct
5 Correct 73 ms 119624 KB Output is correct
6 Correct 57 ms 94556 KB Output is correct
7 Correct 16 ms 19804 KB Output is correct
8 Correct 2 ms 3164 KB Output is correct
9 Correct 3 ms 4696 KB Output is correct
10 Correct 3 ms 4696 KB Output is correct
11 Correct 5 ms 6748 KB Output is correct
12 Correct 5 ms 7004 KB Output is correct
13 Correct 60 ms 75100 KB Output is correct
14 Correct 60 ms 74444 KB Output is correct
15 Correct 104 ms 188712 KB Output is correct
16 Correct 138 ms 192888 KB Output is correct
17 Correct 15 ms 17496 KB Output is correct
18 Correct 28 ms 36188 KB Output is correct
19 Correct 28 ms 36188 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 0 ms 436 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 600 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 436 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 948 KB Output is correct
44 Correct 1 ms 860 KB Output is correct
45 Correct 1 ms 860 KB Output is correct
46 Correct 1 ms 836 KB Output is correct
47 Correct 1 ms 860 KB Output is correct
48 Correct 1 ms 860 KB Output is correct
49 Correct 1 ms 860 KB Output is correct
50 Correct 1 ms 860 KB Output is correct
51 Correct 1 ms 948 KB Output is correct
52 Correct 1 ms 860 KB Output is correct
53 Correct 1 ms 860 KB Output is correct
54 Correct 1 ms 860 KB Output is correct
55 Correct 1 ms 860 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 1 ms 436 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 1 ms 604 KB Output is correct
65 Correct 1 ms 604 KB Output is correct
66 Correct 1 ms 604 KB Output is correct
67 Correct 1 ms 604 KB Output is correct
68 Correct 110 ms 195184 KB Output is correct
69 Correct 109 ms 191588 KB Output is correct
70 Correct 116 ms 196832 KB Output is correct
71 Correct 115 ms 190640 KB Output is correct
72 Correct 109 ms 191572 KB Output is correct
73 Correct 114 ms 203092 KB Output is correct
74 Correct 124 ms 205104 KB Output is correct
75 Correct 113 ms 212928 KB Output is correct
76 Correct 113 ms 218776 KB Output is correct
77 Correct 112 ms 218768 KB Output is correct
78 Correct 117 ms 195704 KB Output is correct
79 Correct 126 ms 194640 KB Output is correct
80 Correct 125 ms 191344 KB Output is correct
81 Correct 3 ms 4700 KB Output is correct
82 Correct 3 ms 4536 KB Output is correct
83 Correct 2 ms 3164 KB Output is correct
84 Correct 2 ms 3404 KB Output is correct
85 Correct 2 ms 3164 KB Output is correct
86 Correct 15 ms 19804 KB Output is correct
87 Correct 21 ms 24164 KB Output is correct
88 Correct 39 ms 45620 KB Output is correct
89 Correct 53 ms 67096 KB Output is correct
90 Correct 6 ms 9560 KB Output is correct

Subtask #6
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 128 ms 190028 KB Output is correct
2 Correct 97 ms 168520 KB Output is correct
3 Correct 88 ms 147028 KB Output is correct
4 Correct 73 ms 118784 KB Output is correct
5 Correct 73 ms 119624 KB Output is correct
6 Correct 57 ms 94556 KB Output is correct
7 Correct 16 ms 19804 KB Output is correct
8 Correct 2 ms 3164 KB Output is correct
9 Correct 3 ms 4696 KB Output is correct
10 Correct 3 ms 4696 KB Output is correct
11 Correct 5 ms 6748 KB Output is correct
12 Correct 5 ms 7004 KB Output is correct
13 Correct 60 ms 75100 KB Output is correct
14 Correct 60 ms 74444 KB Output is correct
15 Correct 104 ms 188712 KB Output is correct
16 Correct 138 ms 192888 KB Output is correct
17 Correct 15 ms 17496 KB Output is correct
18 Correct 28 ms 36188 KB Output is correct
19 Correct 28 ms 36188 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 0 ms 436 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 600 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 436 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 948 KB Output is correct
44 Correct 1 ms 860 KB Output is correct
45 Correct 1 ms 860 KB Output is correct
46 Correct 1 ms 836 KB Output is correct
47 Correct 1 ms 860 KB Output is correct
48 Correct 1 ms 860 KB Output is correct
49 Correct 1 ms 860 KB Output is correct
50 Correct 1 ms 860 KB Output is correct
51 Correct 1 ms 948 KB Output is correct
52 Correct 1 ms 860 KB Output is correct
53 Correct 1 ms 860 KB Output is correct
54 Correct 1 ms 860 KB Output is correct
55 Correct 1 ms 860 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 1 ms 436 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 1 ms 604 KB Output is correct
65 Correct 1 ms 604 KB Output is correct
66 Correct 1 ms 604 KB Output is correct
67 Correct 1 ms 604 KB Output is correct
68 Correct 110 ms 195184 KB Output is correct
69 Correct 109 ms 191588 KB Output is correct
70 Correct 116 ms 196832 KB Output is correct
71 Correct 115 ms 190640 KB Output is correct
72 Correct 109 ms 191572 KB Output is correct
73 Correct 114 ms 203092 KB Output is correct
74 Correct 124 ms 205104 KB Output is correct
75 Correct 113 ms 212928 KB Output is correct
76 Correct 113 ms 218776 KB Output is correct
77 Correct 112 ms 218768 KB Output is correct
78 Correct 117 ms 195704 KB Output is correct
79 Correct 126 ms 194640 KB Output is correct
80 Correct 125 ms 191344 KB Output is correct
81 Correct 3 ms 4700 KB Output is correct
82 Correct 3 ms 4536 KB Output is correct
83 Correct 2 ms 3164 KB Output is correct
84 Correct 2 ms 3404 KB Output is correct
85 Correct 2 ms 3164 KB Output is correct
86 Correct 15 ms 19804 KB Output is correct
87 Correct 21 ms 24164 KB Output is correct
88 Correct 39 ms 45620 KB Output is correct
89 Correct 53 ms 67096 KB Output is correct
90 Correct 6 ms 9560 KB Output is correct
91 Correct 246 ms 433068 KB Output is correct
92 Correct 222 ms 432936 KB Output is correct
93 Correct 235 ms 432980 KB Output is correct
94 Correct 238 ms 433068 KB Output is correct
95 Correct 217 ms 433132 KB Output is correct
96 Correct 224 ms 424540 KB Output is correct
97 Correct 216 ms 429388 KB Output is correct
98 Correct 217 ms 422224 KB Output is correct
99 Correct 219 ms 425068 KB Output is correct
100 Correct 204 ms 415036 KB Output is correct
101 Correct 237 ms 420140 KB Output is correct
102 Correct 204 ms 408600 KB Output is correct
103 Correct 207 ms 412752 KB Output is correct
104 Correct 2 ms 4700 KB Output is correct
105 Correct 3 ms 4700 KB Output is correct
106 Correct 2 ms 3240 KB Output is correct
107 Correct 2 ms 3164 KB Output is correct
108 Correct 39 ms 57036 KB Output is correct
109 Correct 55 ms 78672 KB Output is correct
110 Correct 73 ms 102992 KB Output is correct
111 Correct 6 ms 9564 KB Output is correct