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Submission #153035

# Submission time Handle Problem Language Result Execution time Memory
153035 2019-09-11T14:21:15 Z arnold518 Boat (APIO16_boat) C++14
100 / 100
 1108 ms 11516 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 1000;
const ll MOD = 1e9+7;

int N, S, A[MAXN+10], B[MAXN+10];
vector<int> comp;

ll inv[MAXN+10], bino[MAXN+10][MAXN+10], comb[MAXN+10], f[MAXN+10];
ll dp[MAXN+10][MAXN+10], ans;

int getcomp(int x) { return lower_bound(comp.begin(), comp.end(), x)-comp.begin(); }

ll mypow(ll x, ll y)
{
    if(y==0) return 1;
    if(y%2) return mypow(x, y-1)*x%MOD;
    ll t=mypow(x, y/2);
    return t*t%MOD;
}

int main()
{
    int i, j, k;
    bino[0][0]=1;
    for(i=1; i<=MAXN; i++) for(j=0; j<=i; j++)
    {
        if(j==0 || j==i) bino[i][j]=1;
        else bino[i][j]=(bino[i-1][j]+bino[i-1][j-1])%MOD;
    }

    inv[0]=1;
    for(i=1; i<=MAXN; i++) inv[i]=mypow(i, MOD-2);

    scanf("%d", &N);
    for(i=1; i<=N; i++)
    {
        scanf("%d%d", &A[i], &B[i]); B[i]++;
        comp.push_back(A[i]);
        comp.push_back(B[i]);
    }
    comp.push_back(0);
    sort(comp.begin(), comp.end());
    comp.erase(unique(comp.begin(), comp.end()), comp.end());
    S=comp.size()-2;

    ll a=comp[2]-comp[1];

    memset(comb, 0, sizeof(comb)); memset(f, 0, sizeof(f));
    comb[0]=1;
    for(j=1; j<=min((ll)N, a); j++) comb[j]=comb[j-1]*(a-j+1)%MOD*inv[j]%MOD;
    for(j=1; j<=N; j++)
    {
        for(k=1; k<=j; k++)
        {
            f[j]+=comb[k]*bino[j-1][k-1]%MOD;
            f[j]%=MOD;
        }
    }

    int cnt=0;
    for(i=1; i<=N; i++)
    {
        if(!(A[i]<=comp[1] && comp[1]<B[i])) continue;
        cnt++;
        dp[i][1]=f[cnt];
    }
    dp[0][1]=1;

    for(i=2; i<=S; i++)
    {
        dp[0][i]=1;
        a=comp[i+1]-comp[i];

        memset(comb, 0, sizeof(comb)); memset(f, 0, sizeof(f));
        comb[0]=1;
        for(j=1; j<=min((ll)N, a); j++) comb[j]=comb[j-1]*(a-j+1)%MOD*inv[j]%MOD;
        for(j=1; j<=N; j++)
        {
            for(k=1; k<=j; k++)
            {
                f[j]+=comb[k]*bino[j-1][k-1]%MOD;
                f[j]%=MOD;
            }
        }

        for(j=1; j<=N; j++)
        {
            if(!(A[j]<=comp[i] && comp[i]<B[j])) { dp[j][i]=dp[j][i-1]; continue; }
            int cnt=1;
            for(k=j-1; k>=0; k--)
            {
                dp[j][i]+=f[cnt]*dp[k][i-1]%MOD;
                dp[j][i]%=MOD;
                if(A[k]<=comp[i] && comp[i]<B[k]) cnt++;
            }
            dp[j][i]+=dp[j][i-1]; dp[j][i]%=MOD;
        }
    }

    //for(i=1; i<=N; i++) { for(j=1; j<=S; j++) printf("%lld ", dp[i][j]-dp[i][j-1]); printf("\n"); }
    for(i=1; i<=N; i++) ans+=dp[i][S], ans%=MOD;
    printf("%lld", ans);
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:40:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &N);
     ~~~~~^~~~~~~~~~
boat.cpp:43:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d%d", &A[i], &B[i]); B[i]++;
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 729 ms 11340 KB Output is correct
2 Correct 730 ms 11316 KB Output is correct
3 Correct 731 ms 11384 KB Output is correct
4 Correct 728 ms 11384 KB Output is correct
5 Correct 731 ms 11280 KB Output is correct
6 Correct 739 ms 11420 KB Output is correct
7 Correct 733 ms 11516 KB Output is correct
8 Correct 736 ms 11352 KB Output is correct
9 Correct 728 ms 11432 KB Output is correct
10 Correct 732 ms 11356 KB Output is correct
11 Correct 725 ms 11284 KB Output is correct
12 Correct 728 ms 11412 KB Output is correct
13 Correct 729 ms 11428 KB Output is correct
14 Correct 728 ms 11388 KB Output is correct
15 Correct 726 ms 11388 KB Output is correct
16 Correct 138 ms 9936 KB Output is correct
17 Correct 153 ms 10192 KB Output is correct
18 Correct 181 ms 10104 KB Output is correct
19 Correct 149 ms 10104 KB Output is correct
20 Correct 143 ms 9976 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 729 ms 11340 KB Output is correct
2 Correct 730 ms 11316 KB Output is correct
3 Correct 731 ms 11384 KB Output is correct
4 Correct 728 ms 11384 KB Output is correct
5 Correct 731 ms 11280 KB Output is correct
6 Correct 739 ms 11420 KB Output is correct
7 Correct 733 ms 11516 KB Output is correct
8 Correct 736 ms 11352 KB Output is correct
9 Correct 728 ms 11432 KB Output is correct
10 Correct 732 ms 11356 KB Output is correct
11 Correct 725 ms 11284 KB Output is correct
12 Correct 728 ms 11412 KB Output is correct
13 Correct 729 ms 11428 KB Output is correct
14 Correct 728 ms 11388 KB Output is correct
15 Correct 726 ms 11388 KB Output is correct
16 Correct 138 ms 9936 KB Output is correct
17 Correct 153 ms 10192 KB Output is correct
18 Correct 181 ms 10104 KB Output is correct
19 Correct 149 ms 10104 KB Output is correct
20 Correct 143 ms 9976 KB Output is correct
21 Correct 902 ms 11296 KB Output is correct
22 Correct 899 ms 11384 KB Output is correct
23 Correct 865 ms 11388 KB Output is correct
24 Correct 874 ms 11320 KB Output is correct
25 Correct 886 ms 11220 KB Output is correct
26 Correct 987 ms 11516 KB Output is correct
27 Correct 1006 ms 11308 KB Output is correct
28 Correct 971 ms 11268 KB Output is correct
29 Correct 968 ms 11356 KB Output is correct
30 Correct 735 ms 11404 KB Output is correct
31 Correct 730 ms 11360 KB Output is correct
32 Correct 734 ms 11320 KB Output is correct
33 Correct 729 ms 11200 KB Output is correct
34 Correct 723 ms 11316 KB Output is correct
35 Correct 728 ms 11396 KB Output is correct
36 Correct 731 ms 11220 KB Output is correct
37 Correct 725 ms 11324 KB Output is correct
38 Correct 724 ms 11200 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 7800 KB Output is correct
2 Correct 17 ms 7800 KB Output is correct
3 Correct 17 ms 7800 KB Output is correct
4 Correct 18 ms 7928 KB Output is correct
5 Correct 19 ms 7800 KB Output is correct
6 Correct 19 ms 7928 KB Output is correct
7 Correct 20 ms 7800 KB Output is correct
8 Correct 19 ms 7928 KB Output is correct
9 Correct 20 ms 7800 KB Output is correct
10 Correct 18 ms 7800 KB Output is correct
11 Correct 17 ms 7800 KB Output is correct
12 Correct 18 ms 7800 KB Output is correct
13 Correct 18 ms 7928 KB Output is correct
14 Correct 17 ms 7928 KB Output is correct
15 Correct 17 ms 7928 KB Output is correct
16 Correct 14 ms 7732 KB Output is correct
17 Correct 15 ms 7800 KB Output is correct
18 Correct 15 ms 7804 KB Output is correct
19 Correct 14 ms 7800 KB Output is correct
20 Correct 14 ms 7800 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 729 ms 11340 KB Output is correct
2 Correct 730 ms 11316 KB Output is correct
3 Correct 731 ms 11384 KB Output is correct
4 Correct 728 ms 11384 KB Output is correct
5 Correct 731 ms 11280 KB Output is correct
6 Correct 739 ms 11420 KB Output is correct
7 Correct 733 ms 11516 KB Output is correct
8 Correct 736 ms 11352 KB Output is correct
9 Correct 728 ms 11432 KB Output is correct
10 Correct 732 ms 11356 KB Output is correct
11 Correct 725 ms 11284 KB Output is correct
12 Correct 728 ms 11412 KB Output is correct
13 Correct 729 ms 11428 KB Output is correct
14 Correct 728 ms 11388 KB Output is correct
15 Correct 726 ms 11388 KB Output is correct
16 Correct 138 ms 9936 KB Output is correct
17 Correct 153 ms 10192 KB Output is correct
18 Correct 181 ms 10104 KB Output is correct
19 Correct 149 ms 10104 KB Output is correct
20 Correct 143 ms 9976 KB Output is correct
21 Correct 902 ms 11296 KB Output is correct
22 Correct 899 ms 11384 KB Output is correct
23 Correct 865 ms 11388 KB Output is correct
24 Correct 874 ms 11320 KB Output is correct
25 Correct 886 ms 11220 KB Output is correct
26 Correct 987 ms 11516 KB Output is correct
27 Correct 1006 ms 11308 KB Output is correct
28 Correct 971 ms 11268 KB Output is correct
29 Correct 968 ms 11356 KB Output is correct
30 Correct 735 ms 11404 KB Output is correct
31 Correct 730 ms 11360 KB Output is correct
32 Correct 734 ms 11320 KB Output is correct
33 Correct 729 ms 11200 KB Output is correct
34 Correct 723 ms 11316 KB Output is correct
35 Correct 728 ms 11396 KB Output is correct
36 Correct 731 ms 11220 KB Output is correct
37 Correct 725 ms 11324 KB Output is correct
38 Correct 724 ms 11200 KB Output is correct
39 Correct 17 ms 7800 KB Output is correct
40 Correct 17 ms 7800 KB Output is correct
41 Correct 17 ms 7800 KB Output is correct
42 Correct 18 ms 7928 KB Output is correct
43 Correct 19 ms 7800 KB Output is correct
44 Correct 19 ms 7928 KB Output is correct
45 Correct 20 ms 7800 KB Output is correct
46 Correct 19 ms 7928 KB Output is correct
47 Correct 20 ms 7800 KB Output is correct
48 Correct 18 ms 7800 KB Output is correct
49 Correct 17 ms 7800 KB Output is correct
50 Correct 18 ms 7800 KB Output is correct
51 Correct 18 ms 7928 KB Output is correct
52 Correct 17 ms 7928 KB Output is correct
53 Correct 17 ms 7928 KB Output is correct
54 Correct 14 ms 7732 KB Output is correct
55 Correct 15 ms 7800 KB Output is correct
56 Correct 15 ms 7804 KB Output is correct
57 Correct 14 ms 7800 KB Output is correct
58 Correct 14 ms 7800 KB Output is correct
59 Correct 987 ms 11476 KB Output is correct
60 Correct 967 ms 11324 KB Output is correct
61 Correct 964 ms 11304 KB Output is correct
62 Correct 1006 ms 11384 KB Output is correct
63 Correct 989 ms 11316 KB Output is correct
64 Correct 1105 ms 11256 KB Output is correct
65 Correct 1108 ms 11400 KB Output is correct
66 Correct 1101 ms 11484 KB Output is correct
67 Correct 1104 ms 11512 KB Output is correct
68 Correct 1105 ms 11432 KB Output is correct
69 Correct 937 ms 11408 KB Output is correct
70 Correct 928 ms 11392 KB Output is correct
71 Correct 917 ms 11368 KB Output is correct
72 Correct 925 ms 11304 KB Output is correct
73 Correct 929 ms 11240 KB Output is correct
74 Correct 188 ms 9976 KB Output is correct
75 Correct 192 ms 9980 KB Output is correct
76 Correct 192 ms 9932 KB Output is correct
77 Correct 192 ms 10024 KB Output is correct
78 Correct 192 ms 10144 KB Output is correct