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Submission #679242

# Submission time Handle Problem Language Result Execution time Memory
679242 2023-01-07T21:07:34 Z stevancv Boat (APIO16_boat) C++14
58 / 100
 2000 ms 7440 KB 
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define sp ' '
#define en '\n'
#define smin(a, b) a = min(a, b)
#define smax(a, b) a = max(a, b)
#define sadd(a, b) a = Add(a, b)
#define smul(a, b) a = Mul(a, b)
using namespace std;
const int N = 1000 + 2;
const int mod = 1e9 + 7;
int fak[N], inv[N];
int Add(int a, int b) {
    a += b;
    while (a >= mod) a -= mod;
    while (a < 0) a += mod;
    return a;
}
int Mul(int a, int b) {
    ll c = a; c *= b; c %= mod;
    return c;
}
int Exp(int a, int b) {
    int ans = 1;
    while (b > 0) {
        if (b & 1) smul(ans, a);
        smul(a, a);
        b >>= 1;
    }
    return ans;
}
int koef[2 * N][N], dp[2 * N][N];
bool pos[2 * N][N];
int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    fak[0] = inv[0] = 1;
    for (int i = 1; i < N; i++) {
        fak[i] = Mul(fak[i - 1], i);
        inv[i] = Exp(fak[i], mod - 2);
    }
    int n; cin >> n;
    vector<int> a(n), b(n), all;
    all.push_back(-1);
    for (int i = 0; i < n; i++) {
        cin >> a[i] >> b[i];
        a[i] -= 1;
        all.push_back(a[i]);
        all.push_back(b[i]);
    }
    sort(all.begin(), all.end());
    all.erase(unique(all.begin(), all.end()), all.end());
    int x = all.size();
    for (int i = 1; i < x; i++) {
        int l = all[i] - all[i - 1];
        for (int j = 1; j <= n; j++) {
            int p = l, q = 1;
            for (int k = 1; k <= j; k++) {
                sadd(koef[i][j], Mul(Mul(p, inv[k]), Mul(q, inv[k - 1])));
                smul(p, l - k);
                smul(q, j - k);
            }
        }
    }
    for (int i = 0; i < n; i++) {
        a[i] = lower_bound(all.begin(), all.end(), a[i]) - all.begin();
        b[i] = lower_bound(all.begin(), all.end(), b[i]) - all.begin();
    }
    for (int j = 0; j < x; j++) dp[0][j] = 1;
    for (int i = 0; i < n; i++) {
        for (int j = a[i] + 1; j <= b[i]; j++) {
            int y = 1;
            for (int k = i; k >= 0; k--) {
                sadd(dp[i + 1][j], Mul(dp[k][j - 1], koef[j][y]));
                if (pos[j][k - 1]) y += 1;
            }
            pos[j][i] = 1;
        }
        for (int j = 1; j < x; j++) sadd(dp[i + 1][j], dp[i + 1][j - 1]);
    }
    int ans = 0;
    for (int i = 1; i <= n; i++) sadd(ans, dp[i][x - 1]);
    cout << ans << en;
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1407 ms 7264 KB Output is correct
2 Correct 1403 ms 7164 KB Output is correct
3 Correct 1367 ms 7204 KB Output is correct
4 Correct 1417 ms 7272 KB Output is correct
5 Correct 1378 ms 7140 KB Output is correct
6 Correct 1372 ms 7324 KB Output is correct
7 Correct 1383 ms 7164 KB Output is correct
8 Correct 1405 ms 7272 KB Output is correct
9 Correct 1369 ms 7296 KB Output is correct
10 Correct 1382 ms 7240 KB Output is correct
11 Correct 1371 ms 7204 KB Output is correct
12 Correct 1377 ms 7344 KB Output is correct
13 Correct 1366 ms 7220 KB Output is correct
14 Correct 1346 ms 7244 KB Output is correct
15 Correct 1345 ms 7348 KB Output is correct
16 Correct 240 ms 3132 KB Output is correct
17 Correct 258 ms 3116 KB Output is correct
18 Correct 251 ms 3168 KB Output is correct
19 Correct 261 ms 3144 KB Output is correct
20 Correct 252 ms 3148 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1407 ms 7264 KB Output is correct
2 Correct 1403 ms 7164 KB Output is correct
3 Correct 1367 ms 7204 KB Output is correct
4 Correct 1417 ms 7272 KB Output is correct
5 Correct 1378 ms 7140 KB Output is correct
6 Correct 1372 ms 7324 KB Output is correct
7 Correct 1383 ms 7164 KB Output is correct
8 Correct 1405 ms 7272 KB Output is correct
9 Correct 1369 ms 7296 KB Output is correct
10 Correct 1382 ms 7240 KB Output is correct
11 Correct 1371 ms 7204 KB Output is correct
12 Correct 1377 ms 7344 KB Output is correct
13 Correct 1366 ms 7220 KB Output is correct
14 Correct 1346 ms 7244 KB Output is correct
15 Correct 1345 ms 7348 KB Output is correct
16 Correct 240 ms 3132 KB Output is correct
17 Correct 258 ms 3116 KB Output is correct
18 Correct 251 ms 3168 KB Output is correct
19 Correct 261 ms 3144 KB Output is correct
20 Correct 252 ms 3148 KB Output is correct
21 Correct 1213 ms 6872 KB Output is correct
22 Correct 1200 ms 6812 KB Output is correct
23 Correct 1167 ms 6988 KB Output is correct
24 Correct 1172 ms 6776 KB Output is correct
25 Correct 1186 ms 6796 KB Output is correct
26 Correct 1320 ms 6564 KB Output is correct
27 Correct 1351 ms 6724 KB Output is correct
28 Correct 1305 ms 6596 KB Output is correct
29 Correct 1331 ms 6700 KB Output is correct
30 Correct 1330 ms 7188 KB Output is correct
31 Correct 1324 ms 7192 KB Output is correct
32 Correct 1339 ms 7204 KB Output is correct
33 Correct 1323 ms 7440 KB Output is correct
34 Correct 1317 ms 7248 KB Output is correct
35 Correct 1321 ms 7304 KB Output is correct
36 Correct 1339 ms 7164 KB Output is correct
37 Correct 1337 ms 7160 KB Output is correct
38 Correct 1330 ms 7140 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 1612 KB Output is correct
2 Correct 19 ms 1676 KB Output is correct
3 Correct 18 ms 1624 KB Output is correct
4 Correct 18 ms 1656 KB Output is correct
5 Correct 18 ms 1612 KB Output is correct
6 Correct 20 ms 1660 KB Output is correct
7 Correct 20 ms 1684 KB Output is correct
8 Correct 19 ms 1620 KB Output is correct
9 Correct 19 ms 1704 KB Output is correct
10 Correct 19 ms 1620 KB Output is correct
11 Correct 18 ms 1620 KB Output is correct
12 Correct 17 ms 1600 KB Output is correct
13 Correct 18 ms 1676 KB Output is correct
14 Correct 18 ms 1640 KB Output is correct
15 Correct 17 ms 1684 KB Output is correct
16 Correct 10 ms 1292 KB Output is correct
17 Correct 10 ms 1224 KB Output is correct
18 Correct 10 ms 1236 KB Output is correct
19 Correct 9 ms 1200 KB Output is correct
20 Correct 10 ms 1212 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1407 ms 7264 KB Output is correct
2 Correct 1403 ms 7164 KB Output is correct
3 Correct 1367 ms 7204 KB Output is correct
4 Correct 1417 ms 7272 KB Output is correct
5 Correct 1378 ms 7140 KB Output is correct
6 Correct 1372 ms 7324 KB Output is correct
7 Correct 1383 ms 7164 KB Output is correct
8 Correct 1405 ms 7272 KB Output is correct
9 Correct 1369 ms 7296 KB Output is correct
10 Correct 1382 ms 7240 KB Output is correct
11 Correct 1371 ms 7204 KB Output is correct
12 Correct 1377 ms 7344 KB Output is correct
13 Correct 1366 ms 7220 KB Output is correct
14 Correct 1346 ms 7244 KB Output is correct
15 Correct 1345 ms 7348 KB Output is correct
16 Correct 240 ms 3132 KB Output is correct
17 Correct 258 ms 3116 KB Output is correct
18 Correct 251 ms 3168 KB Output is correct
19 Correct 261 ms 3144 KB Output is correct
20 Correct 252 ms 3148 KB Output is correct
21 Correct 1213 ms 6872 KB Output is correct
22 Correct 1200 ms 6812 KB Output is correct
23 Correct 1167 ms 6988 KB Output is correct
24 Correct 1172 ms 6776 KB Output is correct
25 Correct 1186 ms 6796 KB Output is correct
26 Correct 1320 ms 6564 KB Output is correct
27 Correct 1351 ms 6724 KB Output is correct
28 Correct 1305 ms 6596 KB Output is correct
29 Correct 1331 ms 6700 KB Output is correct
30 Correct 1330 ms 7188 KB Output is correct
31 Correct 1324 ms 7192 KB Output is correct
32 Correct 1339 ms 7204 KB Output is correct
33 Correct 1323 ms 7440 KB Output is correct
34 Correct 1317 ms 7248 KB Output is correct
35 Correct 1321 ms 7304 KB Output is correct
36 Correct 1339 ms 7164 KB Output is correct
37 Correct 1337 ms 7160 KB Output is correct
38 Correct 1330 ms 7140 KB Output is correct
39 Correct 19 ms 1612 KB Output is correct
40 Correct 19 ms 1676 KB Output is correct
41 Correct 18 ms 1624 KB Output is correct
42 Correct 18 ms 1656 KB Output is correct
43 Correct 18 ms 1612 KB Output is correct
44 Correct 20 ms 1660 KB Output is correct
45 Correct 20 ms 1684 KB Output is correct
46 Correct 19 ms 1620 KB Output is correct
47 Correct 19 ms 1704 KB Output is correct
48 Correct 19 ms 1620 KB Output is correct
49 Correct 18 ms 1620 KB Output is correct
50 Correct 17 ms 1600 KB Output is correct
51 Correct 18 ms 1676 KB Output is correct
52 Correct 18 ms 1640 KB Output is correct
53 Correct 17 ms 1684 KB Output is correct
54 Correct 10 ms 1292 KB Output is correct
55 Correct 10 ms 1224 KB Output is correct
56 Correct 10 ms 1236 KB Output is correct
57 Correct 9 ms 1200 KB Output is correct
58 Correct 10 ms 1212 KB Output is correct
59 Execution timed out 2021 ms 7368 KB Time limit exceeded
60 Halted 0 ms 0 KB -