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Submission #161114

# Submission time Handle Problem Language Result Execution time Memory
161114 2019-10-31T14:20:48 Z pzdba Boat (APIO16_boat) C++14
100 / 100
 1726 ms 10448 KB 
#include <bits/stdc++.h>
using namespace std;
const int mod = 1e9+7;
int dp[501][1001];
int tmp[1001][501];
int D[1001][501], C[1001][1001];
int sum[1001][501];
vector<int> v;
int binPow(int a, int b){
    int ans = 1;
    while(b){
        if(b%2 == 1) ans = ans*1ll*a%mod;
        a = a*1ll*a%mod;
        b/=2;
    }
    return ans;
}
int f[1001], inv[1001], a[501], b[501], l[501], r[501];
int ncr(int a, int b){
    int l = v[a]-v[a-1];
    if(b > l) return 0;
    else if(b == l) return 1;
    int mn = min(l-b, b);
    return tmp[a][mn]*1ll*inv[mn]%mod;
}

int main(){
    C[0][0] = 1;
    for(int i=1;i<=1000;i++){
        C[i][0] = C[i][i] = 1;
        for(int j=1;j<i;j++){
            C[i][j] = (C[i-1][j] + C[i-1][j-1])%mod;
        }
    }
    f[0] = 1;
    for(int i=1;i<=1000;i++) f[i] = f[i-1]*1ll*i%mod;
    for(int i=0;i<=1000;i++) inv[i] = binPow(f[i], mod-2);
    int n;
    scanf("%d", &n);

    for(int i=1;i<=n;i++){
        scanf("%d%d", &a[i], &b[i]);
        v.push_back(a[i]-1);
        v.push_back(b[i]);
    }   
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());
    for(int i=1;i<=n;i++){
        l[i] = lower_bound(v.begin(), v.end(), a[i]) - v.begin();
        r[i] = lower_bound(v.begin(), v.end(), b[i]) - v.begin();
    }
    // for(int i=1;i<v.size();i++){
    //     for(int j=1;j<=n;j++){
    //         D[i][j] = ncr(v[i]-v[i-1], j);
    //         for(int l=0;l<j;l++){
    //             sum[i][j] = (sum[i][j] + D[i][l+1]*1ll*C[j-1][l])%mod;
    //         }
    //     }
    // }
    for(int j=1;j<v.size();j++){
        for(int i=1;i<=n;i++){
            if(i == 1) tmp[j][i] = v[j]-v[j-1];
            else tmp[j][i] = tmp[j][i-1]*1ll*(v[j]-v[j-1]-i+1)%mod;
        }
    }
    for(int j=0;j<=1000;j++) dp[0][j] = 1;
    int ans = 0;
    for(int i=1;i<=n;i++){
        for(int j=1;j<v.size();j++){
            for(int l=0;l<i;l++){
                sum[j][i] = (sum[j][i] + ncr(j, l+1)*1ll*C[i-1][l])%mod;
            }

            if(l[i] <= j && j <= r[i]){
                int cnt = 0;
                for(int k=i;k>=1;k--){
                    if(l[k] <= j && j <= r[k]) cnt++;
                    dp[i][j] = (dp[i][j] + dp[k-1][j-1]*1ll*sum[j][cnt])%mod;
                }
            }
            dp[i][j] = (dp[i][j] + dp[i][j-1])%mod;
        }
        ans = (ans + dp[i][v.size()-1])%mod;
    }
    printf("%d\n", ans);
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:60:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int j=1;j<v.size();j++){
                 ~^~~~~~~~~
boat.cpp:69:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j=1;j<v.size();j++){
                     ~^~~~~~~~~
boat.cpp:39:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
boat.cpp:42:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d%d", &a[i], &b[i]);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 967 ms 10448 KB Output is correct
2 Correct 955 ms 10156 KB Output is correct
3 Correct 975 ms 10284 KB Output is correct
4 Correct 971 ms 10240 KB Output is correct
5 Correct 961 ms 10224 KB Output is correct
6 Correct 974 ms 10272 KB Output is correct
7 Correct 963 ms 10360 KB Output is correct
8 Correct 959 ms 10372 KB Output is correct
9 Correct 971 ms 10192 KB Output is correct
10 Correct 960 ms 10172 KB Output is correct
11 Correct 989 ms 10200 KB Output is correct
12 Correct 979 ms 10352 KB Output is correct
13 Correct 978 ms 10236 KB Output is correct
14 Correct 951 ms 10332 KB Output is correct
15 Correct 957 ms 10328 KB Output is correct
16 Correct 174 ms 6904 KB Output is correct
17 Correct 190 ms 7004 KB Output is correct
18 Correct 180 ms 7044 KB Output is correct
19 Correct 188 ms 7064 KB Output is correct
20 Correct 182 ms 6904 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 967 ms 10448 KB Output is correct
2 Correct 955 ms 10156 KB Output is correct
3 Correct 975 ms 10284 KB Output is correct
4 Correct 971 ms 10240 KB Output is correct
5 Correct 961 ms 10224 KB Output is correct
6 Correct 974 ms 10272 KB Output is correct
7 Correct 963 ms 10360 KB Output is correct
8 Correct 959 ms 10372 KB Output is correct
9 Correct 971 ms 10192 KB Output is correct
10 Correct 960 ms 10172 KB Output is correct
11 Correct 989 ms 10200 KB Output is correct
12 Correct 979 ms 10352 KB Output is correct
13 Correct 978 ms 10236 KB Output is correct
14 Correct 951 ms 10332 KB Output is correct
15 Correct 957 ms 10328 KB Output is correct
16 Correct 174 ms 6904 KB Output is correct
17 Correct 190 ms 7004 KB Output is correct
18 Correct 180 ms 7044 KB Output is correct
19 Correct 188 ms 7064 KB Output is correct
20 Correct 182 ms 6904 KB Output is correct
21 Correct 1061 ms 9904 KB Output is correct
22 Correct 1165 ms 9884 KB Output is correct
23 Correct 1034 ms 9844 KB Output is correct
24 Correct 1002 ms 9976 KB Output is correct
25 Correct 1035 ms 9848 KB Output is correct
26 Correct 1030 ms 9776 KB Output is correct
27 Correct 1079 ms 9848 KB Output is correct
28 Correct 1046 ms 9804 KB Output is correct
29 Correct 1047 ms 9688 KB Output is correct
30 Correct 977 ms 10160 KB Output is correct
31 Correct 956 ms 10208 KB Output is correct
32 Correct 964 ms 10352 KB Output is correct
33 Correct 964 ms 10360 KB Output is correct
34 Correct 946 ms 10436 KB Output is correct
35 Correct 944 ms 10120 KB Output is correct
36 Correct 986 ms 10332 KB Output is correct
37 Correct 956 ms 10192 KB Output is correct
38 Correct 970 ms 10132 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 5496 KB Output is correct
2 Correct 19 ms 5496 KB Output is correct
3 Correct 20 ms 5496 KB Output is correct
4 Correct 21 ms 5496 KB Output is correct
5 Correct 18 ms 5496 KB Output is correct
6 Correct 20 ms 5496 KB Output is correct
7 Correct 20 ms 5496 KB Output is correct
8 Correct 21 ms 5496 KB Output is correct
9 Correct 21 ms 5496 KB Output is correct
10 Correct 20 ms 5504 KB Output is correct
11 Correct 21 ms 5500 KB Output is correct
12 Correct 19 ms 5496 KB Output is correct
13 Correct 20 ms 5500 KB Output is correct
14 Correct 19 ms 5496 KB Output is correct
15 Correct 20 ms 5496 KB Output is correct
16 Correct 13 ms 5112 KB Output is correct
17 Correct 14 ms 5116 KB Output is correct
18 Correct 13 ms 5112 KB Output is correct
19 Correct 13 ms 5112 KB Output is correct
20 Correct 13 ms 5112 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 967 ms 10448 KB Output is correct
2 Correct 955 ms 10156 KB Output is correct
3 Correct 975 ms 10284 KB Output is correct
4 Correct 971 ms 10240 KB Output is correct
5 Correct 961 ms 10224 KB Output is correct
6 Correct 974 ms 10272 KB Output is correct
7 Correct 963 ms 10360 KB Output is correct
8 Correct 959 ms 10372 KB Output is correct
9 Correct 971 ms 10192 KB Output is correct
10 Correct 960 ms 10172 KB Output is correct
11 Correct 989 ms 10200 KB Output is correct
12 Correct 979 ms 10352 KB Output is correct
13 Correct 978 ms 10236 KB Output is correct
14 Correct 951 ms 10332 KB Output is correct
15 Correct 957 ms 10328 KB Output is correct
16 Correct 174 ms 6904 KB Output is correct
17 Correct 190 ms 7004 KB Output is correct
18 Correct 180 ms 7044 KB Output is correct
19 Correct 188 ms 7064 KB Output is correct
20 Correct 182 ms 6904 KB Output is correct
21 Correct 1061 ms 9904 KB Output is correct
22 Correct 1165 ms 9884 KB Output is correct
23 Correct 1034 ms 9844 KB Output is correct
24 Correct 1002 ms 9976 KB Output is correct
25 Correct 1035 ms 9848 KB Output is correct
26 Correct 1030 ms 9776 KB Output is correct
27 Correct 1079 ms 9848 KB Output is correct
28 Correct 1046 ms 9804 KB Output is correct
29 Correct 1047 ms 9688 KB Output is correct
30 Correct 977 ms 10160 KB Output is correct
31 Correct 956 ms 10208 KB Output is correct
32 Correct 964 ms 10352 KB Output is correct
33 Correct 964 ms 10360 KB Output is correct
34 Correct 946 ms 10436 KB Output is correct
35 Correct 944 ms 10120 KB Output is correct
36 Correct 986 ms 10332 KB Output is correct
37 Correct 956 ms 10192 KB Output is correct
38 Correct 970 ms 10132 KB Output is correct
39 Correct 21 ms 5496 KB Output is correct
40 Correct 19 ms 5496 KB Output is correct
41 Correct 20 ms 5496 KB Output is correct
42 Correct 21 ms 5496 KB Output is correct
43 Correct 18 ms 5496 KB Output is correct
44 Correct 20 ms 5496 KB Output is correct
45 Correct 20 ms 5496 KB Output is correct
46 Correct 21 ms 5496 KB Output is correct
47 Correct 21 ms 5496 KB Output is correct
48 Correct 20 ms 5504 KB Output is correct
49 Correct 21 ms 5500 KB Output is correct
50 Correct 19 ms 5496 KB Output is correct
51 Correct 20 ms 5500 KB Output is correct
52 Correct 19 ms 5496 KB Output is correct
53 Correct 20 ms 5496 KB Output is correct
54 Correct 13 ms 5112 KB Output is correct
55 Correct 14 ms 5116 KB Output is correct
56 Correct 13 ms 5112 KB Output is correct
57 Correct 13 ms 5112 KB Output is correct
58 Correct 13 ms 5112 KB Output is correct
59 Correct 1621 ms 10424 KB Output is correct
60 Correct 1591 ms 10356 KB Output is correct
61 Correct 1568 ms 10380 KB Output is correct
62 Correct 1646 ms 10340 KB Output is correct
63 Correct 1654 ms 10260 KB Output is correct
64 Correct 1718 ms 10324 KB Output is correct
65 Correct 1726 ms 10352 KB Output is correct
66 Correct 1692 ms 10256 KB Output is correct
67 Correct 1697 ms 10236 KB Output is correct
68 Correct 1687 ms 10372 KB Output is correct
69 Correct 1442 ms 10276 KB Output is correct
70 Correct 1473 ms 10292 KB Output is correct
71 Correct 1424 ms 10372 KB Output is correct
72 Correct 1463 ms 10240 KB Output is correct
73 Correct 1437 ms 10272 KB Output is correct
74 Correct 246 ms 6904 KB Output is correct
75 Correct 244 ms 7036 KB Output is correct
76 Correct 247 ms 7168 KB Output is correct
77 Correct 240 ms 7032 KB Output is correct
78 Correct 242 ms 7004 KB Output is correct