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Submission #376783

# Submission time Handle Problem Language Result Execution time Memory
376783 2021-03-12T03:49:06 Z KoD Boat (APIO16_boat) C++17
100 / 100
 607 ms 6892 KB 
#include <bits/stdc++.h>

template <class T>
using Vec = std::vector<T>;

constexpr int MOD = 1000000007;

struct Fp {
    int val;
    Fp(const int val = 0): val(((val % MOD) + MOD) % MOD) { }
    Fp& operator += (const Fp &other) {
        if ((val += other.val) >= MOD) val -= MOD;
        return *this;
    }
    Fp operator + (const Fp &other) const {
        return Fp(*this) += other;
    }
    Fp& operator -= (const Fp &other) {
        if ((val += MOD - other.val) >= MOD) val -= MOD;
        return *this;
    }
    Fp operator - (const Fp &other) const {
        return Fp(*this) -= other;
    }
    Fp& operator *= (const Fp &other) {
        val = (long long) val * other.val % MOD;
        return *this;
    }
    Fp operator * (const Fp &other) const {
        return Fp(*this) *= other;
    }
    Fp& operator /= (const Fp &other) {
        return *this *= other.inv();
    }
    Fp operator / (const Fp &other) const {
        return Fp(*this) /= other;
    }
    Fp inv() const {
        return pow(MOD - 2);
    }
    Fp pow(int e) const {
        Fp ret(1), mult(*this);
        while (e > 0) {
            if (e & 1) ret *= mult;
            mult *= mult;
            e >>= 1;
        }
        return ret;
    }
};

int main() {
    int N;
    std::cin >> N;
    Vec<int> A(N), B(N);
    Vec<int> cmp;
    cmp.reserve(2 * N);
    for (int i = 0; i < N; ++i) {
        std::cin >> A[i] >> B[i];
        B[i] += 1;
        cmp.push_back(A[i]);
        cmp.push_back(B[i]);
    }
    std::sort(cmp.begin(), cmp.end());
    cmp.erase(std::unique(cmp.begin(), cmp.end()), cmp.end());
    for (auto &x: A) {
        x = std::lower_bound(cmp.begin(), cmp.end(), x) - cmp.begin();
    }
    for (auto &x: B) {
        x = std::lower_bound(cmp.begin(), cmp.end(), x) - cmp.begin();
    }
    const auto size = (int) cmp.size() - 1;
    Vec<Vec<Fp>> coeff(size, Vec<Fp>(N + 1));
    for (int k = 0; k < size; ++k) {
        Fp val(cmp[k + 1] - cmp[k]);
        for (int j = 1; j <= N; ++j) {
            if (cmp[k + 1] - cmp[k] < j) {
                break;
            }
            coeff[k][j] = val;
            val *= Fp(cmp[k + 1] - cmp[k] - j);
            val /= Fp(j + 1);
        }
    }
    Vec<Vec<Fp>> dp(size, Vec<Fp>(1));
    for (int k = 0; k < size; ++k) {
        dp[k][0] = Fp(1);
    }
    Fp ans;
    for (int i = 0; i < N; ++i) {
        Vec<Vec<Fp>> next(size, Vec<Fp>(i + 2));
        Fp sum;
        for (int k = 0; k < size; ++k) {
            next[k][0] += sum;
            for (int j = 0; j <= i; ++j) {
                if (dp[k][j].val == 0) {
                    continue;
                }
                next[k][j] += dp[k][j];
                if (A[i] <= k && k < B[i]) {
                    next[k][j + 1] += dp[k][j];
                    const auto end = dp[k][j] * coeff[k][j + 1];
                    ans += end;
                    sum += end;
                }
            }
        }
        dp = std::move(next);
    }
    std::cout << ans.val << '\n';
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 303 ms 6764 KB Output is correct
2 Correct 296 ms 6764 KB Output is correct
3 Correct 299 ms 6636 KB Output is correct
4 Correct 300 ms 6636 KB Output is correct
5 Correct 298 ms 6636 KB Output is correct
6 Correct 297 ms 6892 KB Output is correct
7 Correct 293 ms 6764 KB Output is correct
8 Correct 301 ms 6636 KB Output is correct
9 Correct 299 ms 6788 KB Output is correct
10 Correct 297 ms 6764 KB Output is correct
11 Correct 303 ms 6696 KB Output is correct
12 Correct 295 ms 6636 KB Output is correct
13 Correct 299 ms 6764 KB Output is correct
14 Correct 297 ms 6636 KB Output is correct
15 Correct 308 ms 6636 KB Output is correct
16 Correct 53 ms 1720 KB Output is correct
17 Correct 58 ms 1772 KB Output is correct
18 Correct 55 ms 1772 KB Output is correct
19 Correct 57 ms 1900 KB Output is correct
20 Correct 56 ms 1772 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 303 ms 6764 KB Output is correct
2 Correct 296 ms 6764 KB Output is correct
3 Correct 299 ms 6636 KB Output is correct
4 Correct 300 ms 6636 KB Output is correct
5 Correct 298 ms 6636 KB Output is correct
6 Correct 297 ms 6892 KB Output is correct
7 Correct 293 ms 6764 KB Output is correct
8 Correct 301 ms 6636 KB Output is correct
9 Correct 299 ms 6788 KB Output is correct
10 Correct 297 ms 6764 KB Output is correct
11 Correct 303 ms 6696 KB Output is correct
12 Correct 295 ms 6636 KB Output is correct
13 Correct 299 ms 6764 KB Output is correct
14 Correct 297 ms 6636 KB Output is correct
15 Correct 308 ms 6636 KB Output is correct
16 Correct 53 ms 1720 KB Output is correct
17 Correct 58 ms 1772 KB Output is correct
18 Correct 55 ms 1772 KB Output is correct
19 Correct 57 ms 1900 KB Output is correct
20 Correct 56 ms 1772 KB Output is correct
21 Correct 344 ms 6252 KB Output is correct
22 Correct 350 ms 6252 KB Output is correct
23 Correct 320 ms 6252 KB Output is correct
24 Correct 333 ms 6124 KB Output is correct
25 Correct 338 ms 6124 KB Output is correct
26 Correct 432 ms 6124 KB Output is correct
27 Correct 443 ms 6072 KB Output is correct
28 Correct 449 ms 5944 KB Output is correct
29 Correct 439 ms 5932 KB Output is correct
30 Correct 289 ms 6636 KB Output is correct
31 Correct 295 ms 6764 KB Output is correct
32 Correct 301 ms 6636 KB Output is correct
33 Correct 289 ms 6636 KB Output is correct
34 Correct 303 ms 6636 KB Output is correct
35 Correct 293 ms 6636 KB Output is correct
36 Correct 300 ms 6636 KB Output is correct
37 Correct 296 ms 6832 KB Output is correct
38 Correct 301 ms 6636 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 620 KB Output is correct
2 Correct 8 ms 620 KB Output is correct
3 Correct 11 ms 620 KB Output is correct
4 Correct 11 ms 620 KB Output is correct
5 Correct 9 ms 620 KB Output is correct
6 Correct 10 ms 620 KB Output is correct
7 Correct 10 ms 620 KB Output is correct
8 Correct 12 ms 620 KB Output is correct
9 Correct 10 ms 620 KB Output is correct
10 Correct 10 ms 620 KB Output is correct
11 Correct 9 ms 620 KB Output is correct
12 Correct 9 ms 620 KB Output is correct
13 Correct 9 ms 620 KB Output is correct
14 Correct 9 ms 620 KB Output is correct
15 Correct 9 ms 620 KB Output is correct
16 Correct 5 ms 492 KB Output is correct
17 Correct 5 ms 492 KB Output is correct
18 Correct 5 ms 492 KB Output is correct
19 Correct 5 ms 492 KB Output is correct
20 Correct 5 ms 492 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 303 ms 6764 KB Output is correct
2 Correct 296 ms 6764 KB Output is correct
3 Correct 299 ms 6636 KB Output is correct
4 Correct 300 ms 6636 KB Output is correct
5 Correct 298 ms 6636 KB Output is correct
6 Correct 297 ms 6892 KB Output is correct
7 Correct 293 ms 6764 KB Output is correct
8 Correct 301 ms 6636 KB Output is correct
9 Correct 299 ms 6788 KB Output is correct
10 Correct 297 ms 6764 KB Output is correct
11 Correct 303 ms 6696 KB Output is correct
12 Correct 295 ms 6636 KB Output is correct
13 Correct 299 ms 6764 KB Output is correct
14 Correct 297 ms 6636 KB Output is correct
15 Correct 308 ms 6636 KB Output is correct
16 Correct 53 ms 1720 KB Output is correct
17 Correct 58 ms 1772 KB Output is correct
18 Correct 55 ms 1772 KB Output is correct
19 Correct 57 ms 1900 KB Output is correct
20 Correct 56 ms 1772 KB Output is correct
21 Correct 344 ms 6252 KB Output is correct
22 Correct 350 ms 6252 KB Output is correct
23 Correct 320 ms 6252 KB Output is correct
24 Correct 333 ms 6124 KB Output is correct
25 Correct 338 ms 6124 KB Output is correct
26 Correct 432 ms 6124 KB Output is correct
27 Correct 443 ms 6072 KB Output is correct
28 Correct 449 ms 5944 KB Output is correct
29 Correct 439 ms 5932 KB Output is correct
30 Correct 289 ms 6636 KB Output is correct
31 Correct 295 ms 6764 KB Output is correct
32 Correct 301 ms 6636 KB Output is correct
33 Correct 289 ms 6636 KB Output is correct
34 Correct 303 ms 6636 KB Output is correct
35 Correct 293 ms 6636 KB Output is correct
36 Correct 300 ms 6636 KB Output is correct
37 Correct 296 ms 6832 KB Output is correct
38 Correct 301 ms 6636 KB Output is correct
39 Correct 9 ms 620 KB Output is correct
40 Correct 8 ms 620 KB Output is correct
41 Correct 11 ms 620 KB Output is correct
42 Correct 11 ms 620 KB Output is correct
43 Correct 9 ms 620 KB Output is correct
44 Correct 10 ms 620 KB Output is correct
45 Correct 10 ms 620 KB Output is correct
46 Correct 12 ms 620 KB Output is correct
47 Correct 10 ms 620 KB Output is correct
48 Correct 10 ms 620 KB Output is correct
49 Correct 9 ms 620 KB Output is correct
50 Correct 9 ms 620 KB Output is correct
51 Correct 9 ms 620 KB Output is correct
52 Correct 9 ms 620 KB Output is correct
53 Correct 9 ms 620 KB Output is correct
54 Correct 5 ms 492 KB Output is correct
55 Correct 5 ms 492 KB Output is correct
56 Correct 5 ms 492 KB Output is correct
57 Correct 5 ms 492 KB Output is correct
58 Correct 5 ms 492 KB Output is correct
59 Correct 469 ms 6764 KB Output is correct
60 Correct 457 ms 6892 KB Output is correct
61 Correct 458 ms 6764 KB Output is correct
62 Correct 471 ms 6764 KB Output is correct
63 Correct 463 ms 6636 KB Output is correct
64 Correct 595 ms 6764 KB Output is correct
65 Correct 593 ms 6892 KB Output is correct
66 Correct 592 ms 6636 KB Output is correct
67 Correct 597 ms 6636 KB Output is correct
68 Correct 607 ms 6724 KB Output is correct
69 Correct 465 ms 6636 KB Output is correct
70 Correct 453 ms 6636 KB Output is correct
71 Correct 459 ms 6892 KB Output is correct
72 Correct 463 ms 6764 KB Output is correct
73 Correct 455 ms 6636 KB Output is correct
74 Correct 77 ms 1772 KB Output is correct
75 Correct 78 ms 1920 KB Output is correct
76 Correct 79 ms 1772 KB Output is correct
77 Correct 78 ms 1772 KB Output is correct
78 Correct 78 ms 1772 KB Output is correct