oj.uz

Submission #113983

# Submission time Handle Problem Language Result Execution time Memory
113983 2019-05-29T12:25:36 Z patrikpavic2 Boat (APIO16_boat) C++17
100 / 100
 816 ms 18396 KB 
#include <cstdio>
#include <cstring>
#include <vector>
#include <cstring>
#include <algorithm>

#define X first
#define Y second
#define PB push_back

using namespace std;

typedef long long ll;

const int N = 1005;
const int MOD = 1e9 + 7;

inline int add(const int &A, const int &B){
    if(A + B >= MOD) return A + B - MOD;
    return A + B;
}

inline int mul(const int &A, const int &B){
    return (ll)A * B % MOD;
}

inline int sub(const int &A, const int &B){
    if(A - B < 0) return A - B + MOD;
    return A - B;
}

inline int eks(const int &A, int B){
    int ans = 1, bs = A;
    for(;B;B >>= 1){
        if(B & 1)
            ans = mul(ans, bs);
        bs = mul(bs, bs);
    }
    return ans;
}

int n, inv[N], fak[N];
int ch[N][N], L[N], R[N], b_L[N], b_R[N], m, in[N][N], ch2[N][N], pos[N][N], dp[N][N];
vector < int > v;

void precompute(){
    fak[0] = 1; inv[0] = 1;
    for(int i = 1;i < N;i++){
        fak[i] = mul(i, fak[i - 1]);
        inv[i] = eks(fak[i], MOD - 2);
    }
    for(int i = 0;i < N;i++){
        ch[i][i] = 1; ch[i][0] = 1;
    }
    for(int i = 1;i < N;i++){
        for(int j = 1;j < i;j++){
            ch[i][j] = add(ch[i - 1][j], ch[i - 1][j - 1]);
        }
    }
}

int f(int bl, int i){
    if(bl == m) return 1;
    if(dp[bl][i] != -1) return dp[bl][i];
    int ret = f(bl + 1, i);
    int cnt = 0;
    for(int j = i;j < n;j++){
        cnt += in[j][bl];
        if(in[j][bl]){
            ret = add(ret, mul(f(bl + 1, j + 1), pos[bl][cnt]));
        }
    }
    return dp[bl][i] = ret;
}

int brute(int i,int lst){
    if(i == n) return 1;
    int ret = brute(i + 1, lst);
    for(int j = max(L[i], lst + 1);j <= R[i];j++)
        ret += brute(i + 1, j);
    return ret;
}

int main(){
    memset(dp, -1, sizeof(dp));
    precompute();
    scanf("%d", &n);
    for(int i = 0;i < n;i++){
        scanf("%d%d", L + i, R + i);
        v.PB(L[i]); v.PB(R[i] + 1);
    }
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());
    m = v.size() - 1;
    for(int i = 0;i < m;i++){
        b_L[i] = v[i]; b_R[i] = v[i + 1] - 1;
        //printf("BLOK %d : %d %d\n", i, b_L[i], b_R[i]);
    }
    for(int i = 0;i < n;i++){
        for(int j = 0;j < m;j++){
            if(L[i] <= b_L[j] && b_R[j] <= R[i])
                in[i][j] = 1;
        }
    }
    for(int i = 0;i < m;i++){
        int len = b_R[i] - b_L[i] + 1;
        int cur = len; ch2[i][0] = 1;
        for(int j = 1;j <= n;j++){
            ch2[i][j] = mul(cur, inv[j]);
            //printf("%d povrh %d = %d\n", len, j, ch2[i][j]);
            cur = mul(cur, len - j);
        }
    }
    for(int i = 0;i < m;i++){
        for(int j = 1;j <= n;j++){
            for(int k = 0;k < j;k++){
                pos[i][j] = add(pos[i][j], mul(ch2[i][k + 1], ch[j - 1][k]));
            }
            //printf("pos[%d][%d] = %d\n", i, j, pos[i][j]);
        }
    }
    printf("%d\n", sub(f(0,0), 1));
  //  printf("%d\n", sub(brute(0,0), 1));
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:87:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
boat.cpp:89:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d%d", L + i, R + i);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 430 ms 17884 KB Output is correct
2 Correct 463 ms 17912 KB Output is correct
3 Correct 421 ms 18040 KB Output is correct
4 Correct 438 ms 17884 KB Output is correct
5 Correct 421 ms 17912 KB Output is correct
6 Correct 454 ms 18168 KB Output is correct
7 Correct 462 ms 18188 KB Output is correct
8 Correct 451 ms 18200 KB Output is correct
9 Correct 437 ms 18296 KB Output is correct
10 Correct 437 ms 18244 KB Output is correct
11 Correct 435 ms 18172 KB Output is correct
12 Correct 433 ms 18168 KB Output is correct
13 Correct 459 ms 18120 KB Output is correct
14 Correct 461 ms 18212 KB Output is correct
15 Correct 458 ms 18260 KB Output is correct
16 Correct 87 ms 11612 KB Output is correct
17 Correct 98 ms 11768 KB Output is correct
18 Correct 93 ms 11684 KB Output is correct
19 Correct 92 ms 11796 KB Output is correct
20 Correct 89 ms 11768 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 430 ms 17884 KB Output is correct
2 Correct 463 ms 17912 KB Output is correct
3 Correct 421 ms 18040 KB Output is correct
4 Correct 438 ms 17884 KB Output is correct
5 Correct 421 ms 17912 KB Output is correct
6 Correct 454 ms 18168 KB Output is correct
7 Correct 462 ms 18188 KB Output is correct
8 Correct 451 ms 18200 KB Output is correct
9 Correct 437 ms 18296 KB Output is correct
10 Correct 437 ms 18244 KB Output is correct
11 Correct 435 ms 18172 KB Output is correct
12 Correct 433 ms 18168 KB Output is correct
13 Correct 459 ms 18120 KB Output is correct
14 Correct 461 ms 18212 KB Output is correct
15 Correct 458 ms 18260 KB Output is correct
16 Correct 87 ms 11612 KB Output is correct
17 Correct 98 ms 11768 KB Output is correct
18 Correct 93 ms 11684 KB Output is correct
19 Correct 92 ms 11796 KB Output is correct
20 Correct 89 ms 11768 KB Output is correct
21 Correct 595 ms 17460 KB Output is correct
22 Correct 584 ms 17528 KB Output is correct
23 Correct 586 ms 17436 KB Output is correct
24 Correct 613 ms 17296 KB Output is correct
25 Correct 629 ms 17424 KB Output is correct
26 Correct 673 ms 17384 KB Output is correct
27 Correct 764 ms 17420 KB Output is correct
28 Correct 647 ms 17144 KB Output is correct
29 Correct 664 ms 17304 KB Output is correct
30 Correct 489 ms 18168 KB Output is correct
31 Correct 476 ms 18320 KB Output is correct
32 Correct 441 ms 18296 KB Output is correct
33 Correct 441 ms 18140 KB Output is correct
34 Correct 457 ms 18128 KB Output is correct
35 Correct 449 ms 17788 KB Output is correct
36 Correct 410 ms 17884 KB Output is correct
37 Correct 422 ms 17988 KB Output is correct
38 Correct 418 ms 18068 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 10240 KB Output is correct
2 Correct 14 ms 10240 KB Output is correct
3 Correct 14 ms 10240 KB Output is correct
4 Correct 15 ms 10232 KB Output is correct
5 Correct 15 ms 10240 KB Output is correct
6 Correct 16 ms 10240 KB Output is correct
7 Correct 15 ms 10240 KB Output is correct
8 Correct 15 ms 10240 KB Output is correct
9 Correct 16 ms 10240 KB Output is correct
10 Correct 16 ms 10240 KB Output is correct
11 Correct 15 ms 10240 KB Output is correct
12 Correct 16 ms 10240 KB Output is correct
13 Correct 15 ms 10240 KB Output is correct
14 Correct 14 ms 10240 KB Output is correct
15 Correct 15 ms 10240 KB Output is correct
16 Correct 12 ms 9600 KB Output is correct
17 Correct 12 ms 9472 KB Output is correct
18 Correct 12 ms 9600 KB Output is correct
19 Correct 12 ms 9600 KB Output is correct
20 Correct 13 ms 9472 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 430 ms 17884 KB Output is correct
2 Correct 463 ms 17912 KB Output is correct
3 Correct 421 ms 18040 KB Output is correct
4 Correct 438 ms 17884 KB Output is correct
5 Correct 421 ms 17912 KB Output is correct
6 Correct 454 ms 18168 KB Output is correct
7 Correct 462 ms 18188 KB Output is correct
8 Correct 451 ms 18200 KB Output is correct
9 Correct 437 ms 18296 KB Output is correct
10 Correct 437 ms 18244 KB Output is correct
11 Correct 435 ms 18172 KB Output is correct
12 Correct 433 ms 18168 KB Output is correct
13 Correct 459 ms 18120 KB Output is correct
14 Correct 461 ms 18212 KB Output is correct
15 Correct 458 ms 18260 KB Output is correct
16 Correct 87 ms 11612 KB Output is correct
17 Correct 98 ms 11768 KB Output is correct
18 Correct 93 ms 11684 KB Output is correct
19 Correct 92 ms 11796 KB Output is correct
20 Correct 89 ms 11768 KB Output is correct
21 Correct 595 ms 17460 KB Output is correct
22 Correct 584 ms 17528 KB Output is correct
23 Correct 586 ms 17436 KB Output is correct
24 Correct 613 ms 17296 KB Output is correct
25 Correct 629 ms 17424 KB Output is correct
26 Correct 673 ms 17384 KB Output is correct
27 Correct 764 ms 17420 KB Output is correct
28 Correct 647 ms 17144 KB Output is correct
29 Correct 664 ms 17304 KB Output is correct
30 Correct 489 ms 18168 KB Output is correct
31 Correct 476 ms 18320 KB Output is correct
32 Correct 441 ms 18296 KB Output is correct
33 Correct 441 ms 18140 KB Output is correct
34 Correct 457 ms 18128 KB Output is correct
35 Correct 449 ms 17788 KB Output is correct
36 Correct 410 ms 17884 KB Output is correct
37 Correct 422 ms 17988 KB Output is correct
38 Correct 418 ms 18068 KB Output is correct
39 Correct 14 ms 10240 KB Output is correct
40 Correct 14 ms 10240 KB Output is correct
41 Correct 14 ms 10240 KB Output is correct
42 Correct 15 ms 10232 KB Output is correct
43 Correct 15 ms 10240 KB Output is correct
44 Correct 16 ms 10240 KB Output is correct
45 Correct 15 ms 10240 KB Output is correct
46 Correct 15 ms 10240 KB Output is correct
47 Correct 16 ms 10240 KB Output is correct
48 Correct 16 ms 10240 KB Output is correct
49 Correct 15 ms 10240 KB Output is correct
50 Correct 16 ms 10240 KB Output is correct
51 Correct 15 ms 10240 KB Output is correct
52 Correct 14 ms 10240 KB Output is correct
53 Correct 15 ms 10240 KB Output is correct
54 Correct 12 ms 9600 KB Output is correct
55 Correct 12 ms 9472 KB Output is correct
56 Correct 12 ms 9600 KB Output is correct
57 Correct 12 ms 9600 KB Output is correct
58 Correct 13 ms 9472 KB Output is correct
59 Correct 714 ms 18156 KB Output is correct
60 Correct 742 ms 18164 KB Output is correct
61 Correct 719 ms 18296 KB Output is correct
62 Correct 724 ms 18188 KB Output is correct
63 Correct 725 ms 18044 KB Output is correct
64 Correct 797 ms 18272 KB Output is correct
65 Correct 816 ms 18392 KB Output is correct
66 Correct 800 ms 18316 KB Output is correct
67 Correct 816 ms 18220 KB Output is correct
68 Correct 788 ms 18296 KB Output is correct
69 Correct 804 ms 18268 KB Output is correct
70 Correct 741 ms 18396 KB Output is correct
71 Correct 765 ms 18280 KB Output is correct
72 Correct 804 ms 18340 KB Output is correct
73 Correct 761 ms 18332 KB Output is correct
74 Correct 133 ms 11640 KB Output is correct
75 Correct 133 ms 11716 KB Output is correct
76 Correct 135 ms 11768 KB Output is correct
77 Correct 128 ms 11704 KB Output is correct
78 Correct 128 ms 11768 KB Output is correct