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Submission #679651

# Submission time Handle Problem Language Result Execution time Memory
679651 2023-01-08T20:08:09 Z bebra Boat (APIO16_boat) C++17
100 / 100
 408 ms 4384 KB 
#include <bits/stdc++.h>
using namespace std;

#define dbg(x) cerr << #x << ": " << x << endl;

const int MOD = 1e9 + 7;

int add(int a, int b) {
    int res = a + b;
    if (res >= MOD) res -= MOD;
    return res;
}

int mul(long long a, int b) {
    return a * b % MOD;
}

int binpow(int base, int power) {
    int res = 1;
    while (power > 0) {
        if (power & 1) {
            res = mul(res, base);
        }
        base = mul(base, base);
        power >>= 1;
    }
    return res;
}

const int MAX_N = 500 + 5;
int dp[MAX_N][MAX_N * 2];
int c[MAX_N * 2][MAX_N];

int a[MAX_N];
int b[MAX_N];


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

    int n;
    cin >> n;
    vector<int> p;
    for (int i = 1; i <= n; ++i) {
        cin >> a[i] >> b[i];
        p.push_back(a[i]);
        p.push_back(b[i] + 1);
    }
    sort(p.begin(), p.end());
    p.resize(unique(p.begin(), p.end()) - p.begin());
    vector<pair<int, int>> segments;
    for (int i = 0; i < (int)p.size() - 1; ++i) {
        for (int j = 1; j <= n; ++j) {
            if (a[j] <= p[i] && p[i + 1] - 1 <= b[j]) {
                segments.emplace_back(p[i], p[i + 1] - 1);
                break;
            }
        }
    }
    int m = segments.size();
    segments.insert(segments.begin(), {-1, -1});
    for (int i = 1; i <= m; ++i) {
        auto [l, r] = segments[i];
        c[i][1] = r - l + 1;
        for (int j = 2; j <= n; ++j) {
            c[i][j] = mul(c[i][j - 1], mul(r - l + j, binpow(j, MOD - 2)));
        }
    }
    for (int j = 0; j <= m; ++j) {
        dp[0][j] = 1;
    }
    for (int i = 1; i <= n; ++i) {
        dp[i][0] = 1;
        for (int j = 1; j <= m; ++j) {
            auto [l, r] = segments[j];
            dp[i][j] = dp[i][j - 1];
            int cnt = 0;
            for (int k = i; k >= 1; --k) {
                if (a[k] <= l && r <= b[k]) {
                    ++cnt;
                    dp[i][j] = add(dp[i][j], mul(dp[k - 1][j - 1], c[j][cnt]));
                }
            }
        }
    }
    cout << dp[n][m] - 1 << '\n';
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 172 ms 3284 KB Output is correct
2 Correct 171 ms 3236 KB Output is correct
3 Correct 173 ms 3284 KB Output is correct
4 Correct 170 ms 3336 KB Output is correct
5 Correct 172 ms 3180 KB Output is correct
6 Correct 125 ms 3224 KB Output is correct
7 Correct 123 ms 3184 KB Output is correct
8 Correct 128 ms 3344 KB Output is correct
9 Correct 125 ms 3276 KB Output is correct
10 Correct 127 ms 3276 KB Output is correct
11 Correct 121 ms 3280 KB Output is correct
12 Correct 124 ms 3172 KB Output is correct
13 Correct 124 ms 3244 KB Output is correct
14 Correct 123 ms 3320 KB Output is correct
15 Correct 119 ms 3296 KB Output is correct
16 Correct 35 ms 2380 KB Output is correct
17 Correct 36 ms 2380 KB Output is correct
18 Correct 35 ms 2412 KB Output is correct
19 Correct 39 ms 2380 KB Output is correct
20 Correct 38 ms 2480 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 172 ms 3284 KB Output is correct
2 Correct 171 ms 3236 KB Output is correct
3 Correct 173 ms 3284 KB Output is correct
4 Correct 170 ms 3336 KB Output is correct
5 Correct 172 ms 3180 KB Output is correct
6 Correct 125 ms 3224 KB Output is correct
7 Correct 123 ms 3184 KB Output is correct
8 Correct 128 ms 3344 KB Output is correct
9 Correct 125 ms 3276 KB Output is correct
10 Correct 127 ms 3276 KB Output is correct
11 Correct 121 ms 3280 KB Output is correct
12 Correct 124 ms 3172 KB Output is correct
13 Correct 124 ms 3244 KB Output is correct
14 Correct 123 ms 3320 KB Output is correct
15 Correct 119 ms 3296 KB Output is correct
16 Correct 35 ms 2380 KB Output is correct
17 Correct 36 ms 2380 KB Output is correct
18 Correct 35 ms 2412 KB Output is correct
19 Correct 39 ms 2380 KB Output is correct
20 Correct 38 ms 2480 KB Output is correct
21 Correct 348 ms 4044 KB Output is correct
22 Correct 351 ms 4080 KB Output is correct
23 Correct 356 ms 4024 KB Output is correct
24 Correct 338 ms 3980 KB Output is correct
25 Correct 355 ms 4132 KB Output is correct
26 Correct 347 ms 4052 KB Output is correct
27 Correct 368 ms 4172 KB Output is correct
28 Correct 345 ms 3976 KB Output is correct
29 Correct 359 ms 3968 KB Output is correct
30 Correct 245 ms 4244 KB Output is correct
31 Correct 237 ms 4224 KB Output is correct
32 Correct 257 ms 4304 KB Output is correct
33 Correct 244 ms 4176 KB Output is correct
34 Correct 238 ms 4192 KB Output is correct
35 Correct 335 ms 4300 KB Output is correct
36 Correct 329 ms 4296 KB Output is correct
37 Correct 337 ms 4248 KB Output is correct
38 Correct 325 ms 4172 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1108 KB Output is correct
2 Correct 7 ms 1124 KB Output is correct
3 Correct 6 ms 1068 KB Output is correct
4 Correct 7 ms 1108 KB Output is correct
5 Correct 6 ms 1108 KB Output is correct
6 Correct 7 ms 1108 KB Output is correct
7 Correct 7 ms 1108 KB Output is correct
8 Correct 7 ms 1108 KB Output is correct
9 Correct 7 ms 1036 KB Output is correct
10 Correct 7 ms 1108 KB Output is correct
11 Correct 6 ms 1108 KB Output is correct
12 Correct 6 ms 1040 KB Output is correct
13 Correct 7 ms 1052 KB Output is correct
14 Correct 7 ms 1116 KB Output is correct
15 Correct 6 ms 1108 KB Output is correct
16 Correct 4 ms 852 KB Output is correct
17 Correct 4 ms 852 KB Output is correct
18 Correct 4 ms 852 KB Output is correct
19 Correct 4 ms 852 KB Output is correct
20 Correct 4 ms 852 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 172 ms 3284 KB Output is correct
2 Correct 171 ms 3236 KB Output is correct
3 Correct 173 ms 3284 KB Output is correct
4 Correct 170 ms 3336 KB Output is correct
5 Correct 172 ms 3180 KB Output is correct
6 Correct 125 ms 3224 KB Output is correct
7 Correct 123 ms 3184 KB Output is correct
8 Correct 128 ms 3344 KB Output is correct
9 Correct 125 ms 3276 KB Output is correct
10 Correct 127 ms 3276 KB Output is correct
11 Correct 121 ms 3280 KB Output is correct
12 Correct 124 ms 3172 KB Output is correct
13 Correct 124 ms 3244 KB Output is correct
14 Correct 123 ms 3320 KB Output is correct
15 Correct 119 ms 3296 KB Output is correct
16 Correct 35 ms 2380 KB Output is correct
17 Correct 36 ms 2380 KB Output is correct
18 Correct 35 ms 2412 KB Output is correct
19 Correct 39 ms 2380 KB Output is correct
20 Correct 38 ms 2480 KB Output is correct
21 Correct 348 ms 4044 KB Output is correct
22 Correct 351 ms 4080 KB Output is correct
23 Correct 356 ms 4024 KB Output is correct
24 Correct 338 ms 3980 KB Output is correct
25 Correct 355 ms 4132 KB Output is correct
26 Correct 347 ms 4052 KB Output is correct
27 Correct 368 ms 4172 KB Output is correct
28 Correct 345 ms 3976 KB Output is correct
29 Correct 359 ms 3968 KB Output is correct
30 Correct 245 ms 4244 KB Output is correct
31 Correct 237 ms 4224 KB Output is correct
32 Correct 257 ms 4304 KB Output is correct
33 Correct 244 ms 4176 KB Output is correct
34 Correct 238 ms 4192 KB Output is correct
35 Correct 335 ms 4300 KB Output is correct
36 Correct 329 ms 4296 KB Output is correct
37 Correct 337 ms 4248 KB Output is correct
38 Correct 325 ms 4172 KB Output is correct
39 Correct 6 ms 1108 KB Output is correct
40 Correct 7 ms 1124 KB Output is correct
41 Correct 6 ms 1068 KB Output is correct
42 Correct 7 ms 1108 KB Output is correct
43 Correct 6 ms 1108 KB Output is correct
44 Correct 7 ms 1108 KB Output is correct
45 Correct 7 ms 1108 KB Output is correct
46 Correct 7 ms 1108 KB Output is correct
47 Correct 7 ms 1036 KB Output is correct
48 Correct 7 ms 1108 KB Output is correct
49 Correct 6 ms 1108 KB Output is correct
50 Correct 6 ms 1040 KB Output is correct
51 Correct 7 ms 1052 KB Output is correct
52 Correct 7 ms 1116 KB Output is correct
53 Correct 6 ms 1108 KB Output is correct
54 Correct 4 ms 852 KB Output is correct
55 Correct 4 ms 852 KB Output is correct
56 Correct 4 ms 852 KB Output is correct
57 Correct 4 ms 852 KB Output is correct
58 Correct 4 ms 852 KB Output is correct
59 Correct 395 ms 4264 KB Output is correct
60 Correct 371 ms 4256 KB Output is correct
61 Correct 387 ms 4360 KB Output is correct
62 Correct 380 ms 4296 KB Output is correct
63 Correct 374 ms 4188 KB Output is correct
64 Correct 395 ms 4180 KB Output is correct
65 Correct 406 ms 4260 KB Output is correct
66 Correct 408 ms 4208 KB Output is correct
67 Correct 402 ms 4364 KB Output is correct
68 Correct 392 ms 4172 KB Output is correct
69 Correct 364 ms 4284 KB Output is correct
70 Correct 368 ms 4232 KB Output is correct
71 Correct 369 ms 4300 KB Output is correct
72 Correct 374 ms 4200 KB Output is correct
73 Correct 383 ms 4384 KB Output is correct
74 Correct 84 ms 2596 KB Output is correct
75 Correct 87 ms 2652 KB Output is correct
76 Correct 85 ms 2652 KB Output is correct
77 Correct 86 ms 2620 KB Output is correct
78 Correct 84 ms 2596 KB Output is correct