oj.uz

Submission #102785

# Submission time Handle Problem Language Result Execution time Memory
102785 2019-03-27T14:01:55 Z alexpetrescu Boat (APIO16_boat) C++14
100 / 100
 605 ms 1532 KB 
#include <cstdio>
#include <algorithm>
#include <vector>

//FILE *fin = fopen("a.in", "r"), *fout = fopen("a.out", "w");
#define fin stdin
#define fout stdout

#define MOD 1000000007

inline void precalcCombinari(std::vector < std::vector < int > > &comb) {
    for (int i = 0; i < (int)comb.size(); i++) {
        comb[i][0] = 1;
        for (int j = 1; j <= i; j++)
            comb[i][j] = (comb[i - 1][j] + comb[i - 1][j - 1]) % MOD;
    }
}

inline bool getValues(int n, int a, int b, std::vector < int > &A, std::vector < int > &B, std::vector < bool > &avem) {
    bool ans = 0;
    for (int i = 1; i <= n; i++) {
        avem[i] = A[i] <= a && B[i] >= b - 1;
        ans |= avem[i];
    }
    return ans;
}

inline int lgput(int a, int n) {
    int r = 1;
    while (n) {
        if (n % 2)
            r = 1LL * r * a % MOD;
        a = 1LL * a * a % MOD;
        n /= 2;
    }
    return r;
}

inline void calcCombinari(std::vector < int > &comb, int n) {
    comb[0] = 1;
    for (int i = 1; i < (int)comb.size(); i++)
        comb[i] = 1LL * comb[i - 1] * (n - i + 1) % MOD * lgput(i, MOD - 2) % MOD;
}

inline void precalc(std::vector < int > &r, int tmax, int l, std::vector < std::vector < int > > &comb) {
    std::vector < int > combL(std::min(tmax + 1, l + 1));
    calcCombinari(combL, l);

    for (int i = 0; i <= tmax; i++) {
        r[i] = 0;
        for (int j = 1; j <= i && j <= l; j++)
            r[i] = (r[i] + 1LL * comb[i - 1][j - 1] * combL[j]) % MOD;
    }
}

inline void solve(std::vector < std::vector < int > > &dp, int n, int l, int &w, int &q, std::vector < bool > &avem, std::vector < std::vector < int > > &comb) {
    w = 1 - w;
    q = 1 - q;

    int tmax = 0;
    for (int i = 1; i <= n; i++)
        tmax += avem[i];

    std::vector < int > r(tmax + 1);
    precalc(r, tmax, l, comb);

    for (int i = 0; i <= n; i++)
        dp[w][i] = 0;

    for (int i = 0; i <= n; i++) {
        dp[w][i] = (dp[w][i] + dp[q][i]) % MOD;
        int t = 0;
        for (int j = i + 1; j <= n; j++) {
            if (avem[j]) {
                t++;
                dp[w][j] = (dp[w][j] + 1LL * dp[q][i] * r[t]) % MOD;
            }
        }
    }
}

int main() {
    int n;
    fscanf(fin, "%d", &n);

    std::vector < std::vector < int > > comb(n, std::vector < int > (n, 0));
    precalcCombinari(comb);

    std::vector < int > poz, A(n + 1), B(n + 1);
    for (int i = 1; i <= n; i++) {
        fscanf(fin, "%d%d", &A[i], &B[i]);
        poz.push_back(A[i]);
        poz.push_back(B[i] + 1);
    }

    std::sort(poz.begin(), poz.end());
    poz.resize(std::distance(poz.begin(), std::unique(poz.begin(), poz.end())));

    int w = 0, q = 1;
    std::vector < std::vector < int > > dp(2, std::vector < int > (n + 1, 0));
    dp[0][0] = 1;
    std::vector < bool > avem(n + 1);
    for (int i = 0; i < (int)poz.size() - 1; i++)
        if (getValues(n, poz[i], poz[i + 1], A, B, avem))
            solve(dp, n, poz[i + 1] - poz[i], w, q, avem, comb);

    int ans = 0;
    for (int i = 1; i <= n; i++)
        ans = (ans + dp[w][i]) % MOD;

    fprintf(fout, "%d\n", ans);

    fclose(fin);
    fclose(fout);
    return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:84:11: warning: ignoring return value of 'int fscanf(FILE*, const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     fscanf(fin, "%d", &n);
     ~~~~~~^~~~~~~~~~~~~~~
boat.cpp:91:15: warning: ignoring return value of 'int fscanf(FILE*, const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         fscanf(fin, "%d%d", &A[i], &B[i]);
         ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 1280 KB Output is correct
2 Correct 87 ms 1400 KB Output is correct
3 Correct 91 ms 1532 KB Output is correct
4 Correct 81 ms 1400 KB Output is correct
5 Correct 96 ms 1380 KB Output is correct
6 Correct 89 ms 1372 KB Output is correct
7 Correct 90 ms 1404 KB Output is correct
8 Correct 122 ms 1292 KB Output is correct
9 Correct 95 ms 1280 KB Output is correct
10 Correct 109 ms 1408 KB Output is correct
11 Correct 94 ms 1372 KB Output is correct
12 Correct 84 ms 1500 KB Output is correct
13 Correct 91 ms 1408 KB Output is correct
14 Correct 101 ms 1364 KB Output is correct
15 Correct 88 ms 1280 KB Output is correct
16 Correct 26 ms 1280 KB Output is correct
17 Correct 20 ms 1280 KB Output is correct
18 Correct 21 ms 1280 KB Output is correct
19 Correct 18 ms 1280 KB Output is correct
20 Correct 23 ms 1408 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 1280 KB Output is correct
2 Correct 87 ms 1400 KB Output is correct
3 Correct 91 ms 1532 KB Output is correct
4 Correct 81 ms 1400 KB Output is correct
5 Correct 96 ms 1380 KB Output is correct
6 Correct 89 ms 1372 KB Output is correct
7 Correct 90 ms 1404 KB Output is correct
8 Correct 122 ms 1292 KB Output is correct
9 Correct 95 ms 1280 KB Output is correct
10 Correct 109 ms 1408 KB Output is correct
11 Correct 94 ms 1372 KB Output is correct
12 Correct 84 ms 1500 KB Output is correct
13 Correct 91 ms 1408 KB Output is correct
14 Correct 101 ms 1364 KB Output is correct
15 Correct 88 ms 1280 KB Output is correct
16 Correct 26 ms 1280 KB Output is correct
17 Correct 20 ms 1280 KB Output is correct
18 Correct 21 ms 1280 KB Output is correct
19 Correct 18 ms 1280 KB Output is correct
20 Correct 23 ms 1408 KB Output is correct
21 Correct 292 ms 1280 KB Output is correct
22 Correct 272 ms 1400 KB Output is correct
23 Correct 248 ms 1528 KB Output is correct
24 Correct 266 ms 1380 KB Output is correct
25 Correct 260 ms 1452 KB Output is correct
26 Correct 261 ms 1400 KB Output is correct
27 Correct 317 ms 1280 KB Output is correct
28 Correct 304 ms 1280 KB Output is correct
29 Correct 241 ms 1404 KB Output is correct
30 Correct 171 ms 1408 KB Output is correct
31 Correct 153 ms 1272 KB Output is correct
32 Correct 183 ms 1368 KB Output is correct
33 Correct 224 ms 1400 KB Output is correct
34 Correct 170 ms 1280 KB Output is correct
35 Correct 194 ms 1372 KB Output is correct
36 Correct 185 ms 1372 KB Output is correct
37 Correct 171 ms 1280 KB Output is correct
38 Correct 165 ms 1500 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 356 KB Output is correct
2 Correct 8 ms 384 KB Output is correct
3 Correct 13 ms 384 KB Output is correct
4 Correct 8 ms 384 KB Output is correct
5 Correct 8 ms 384 KB Output is correct
6 Correct 9 ms 384 KB Output is correct
7 Correct 10 ms 384 KB Output is correct
8 Correct 9 ms 384 KB Output is correct
9 Correct 9 ms 384 KB Output is correct
10 Correct 9 ms 384 KB Output is correct
11 Correct 6 ms 512 KB Output is correct
12 Correct 8 ms 384 KB Output is correct
13 Correct 8 ms 384 KB Output is correct
14 Correct 7 ms 384 KB Output is correct
15 Correct 8 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 512 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 6 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 1280 KB Output is correct
2 Correct 87 ms 1400 KB Output is correct
3 Correct 91 ms 1532 KB Output is correct
4 Correct 81 ms 1400 KB Output is correct
5 Correct 96 ms 1380 KB Output is correct
6 Correct 89 ms 1372 KB Output is correct
7 Correct 90 ms 1404 KB Output is correct
8 Correct 122 ms 1292 KB Output is correct
9 Correct 95 ms 1280 KB Output is correct
10 Correct 109 ms 1408 KB Output is correct
11 Correct 94 ms 1372 KB Output is correct
12 Correct 84 ms 1500 KB Output is correct
13 Correct 91 ms 1408 KB Output is correct
14 Correct 101 ms 1364 KB Output is correct
15 Correct 88 ms 1280 KB Output is correct
16 Correct 26 ms 1280 KB Output is correct
17 Correct 20 ms 1280 KB Output is correct
18 Correct 21 ms 1280 KB Output is correct
19 Correct 18 ms 1280 KB Output is correct
20 Correct 23 ms 1408 KB Output is correct
21 Correct 292 ms 1280 KB Output is correct
22 Correct 272 ms 1400 KB Output is correct
23 Correct 248 ms 1528 KB Output is correct
24 Correct 266 ms 1380 KB Output is correct
25 Correct 260 ms 1452 KB Output is correct
26 Correct 261 ms 1400 KB Output is correct
27 Correct 317 ms 1280 KB Output is correct
28 Correct 304 ms 1280 KB Output is correct
29 Correct 241 ms 1404 KB Output is correct
30 Correct 171 ms 1408 KB Output is correct
31 Correct 153 ms 1272 KB Output is correct
32 Correct 183 ms 1368 KB Output is correct
33 Correct 224 ms 1400 KB Output is correct
34 Correct 170 ms 1280 KB Output is correct
35 Correct 194 ms 1372 KB Output is correct
36 Correct 185 ms 1372 KB Output is correct
37 Correct 171 ms 1280 KB Output is correct
38 Correct 165 ms 1500 KB Output is correct
39 Correct 8 ms 356 KB Output is correct
40 Correct 8 ms 384 KB Output is correct
41 Correct 13 ms 384 KB Output is correct
42 Correct 8 ms 384 KB Output is correct
43 Correct 8 ms 384 KB Output is correct
44 Correct 9 ms 384 KB Output is correct
45 Correct 10 ms 384 KB Output is correct
46 Correct 9 ms 384 KB Output is correct
47 Correct 9 ms 384 KB Output is correct
48 Correct 9 ms 384 KB Output is correct
49 Correct 6 ms 512 KB Output is correct
50 Correct 8 ms 384 KB Output is correct
51 Correct 8 ms 384 KB Output is correct
52 Correct 7 ms 384 KB Output is correct
53 Correct 8 ms 384 KB Output is correct
54 Correct 5 ms 384 KB Output is correct
55 Correct 5 ms 512 KB Output is correct
56 Correct 4 ms 384 KB Output is correct
57 Correct 6 ms 384 KB Output is correct
58 Correct 5 ms 384 KB Output is correct
59 Correct 403 ms 1400 KB Output is correct
60 Correct 358 ms 1500 KB Output is correct
61 Correct 412 ms 1528 KB Output is correct
62 Correct 451 ms 1408 KB Output is correct
63 Correct 396 ms 1408 KB Output is correct
64 Correct 605 ms 1408 KB Output is correct
65 Correct 555 ms 1528 KB Output is correct
66 Correct 519 ms 1280 KB Output is correct
67 Correct 524 ms 1404 KB Output is correct
68 Correct 588 ms 1500 KB Output is correct
69 Correct 360 ms 1500 KB Output is correct
70 Correct 386 ms 1400 KB Output is correct
71 Correct 376 ms 1280 KB Output is correct
72 Correct 385 ms 1368 KB Output is correct
73 Correct 396 ms 1364 KB Output is correct
74 Correct 71 ms 1280 KB Output is correct
75 Correct 63 ms 1400 KB Output is correct
76 Correct 86 ms 1404 KB Output is correct
77 Correct 63 ms 1280 KB Output is correct
78 Correct 73 ms 1408 KB Output is correct