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Submission #153029

# Submission time Handle Problem Language Result Execution time Memory
153029 2019-09-11T14:00:47 Z arnold518 Boat (APIO16_boat) C++14
100 / 100
 1127 ms 11552 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(600ll, 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(600ll, 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 761 ms 11228 KB Output is correct
2 Correct 728 ms 11384 KB Output is correct
3 Correct 727 ms 11440 KB Output is correct
4 Correct 730 ms 11504 KB Output is correct
5 Correct 732 ms 11484 KB Output is correct
6 Correct 727 ms 11372 KB Output is correct
7 Correct 729 ms 11440 KB Output is correct
8 Correct 739 ms 11388 KB Output is correct
9 Correct 729 ms 11300 KB Output is correct
10 Correct 751 ms 11308 KB Output is correct
11 Correct 744 ms 11408 KB Output is correct
12 Correct 737 ms 11428 KB Output is correct
13 Correct 728 ms 11300 KB Output is correct
14 Correct 727 ms 11312 KB Output is correct
15 Correct 730 ms 11324 KB Output is correct
16 Correct 139 ms 10016 KB Output is correct
17 Correct 148 ms 9980 KB Output is correct
18 Correct 143 ms 9976 KB Output is correct
19 Correct 148 ms 9976 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 761 ms 11228 KB Output is correct
2 Correct 728 ms 11384 KB Output is correct
3 Correct 727 ms 11440 KB Output is correct
4 Correct 730 ms 11504 KB Output is correct
5 Correct 732 ms 11484 KB Output is correct
6 Correct 727 ms 11372 KB Output is correct
7 Correct 729 ms 11440 KB Output is correct
8 Correct 739 ms 11388 KB Output is correct
9 Correct 729 ms 11300 KB Output is correct
10 Correct 751 ms 11308 KB Output is correct
11 Correct 744 ms 11408 KB Output is correct
12 Correct 737 ms 11428 KB Output is correct
13 Correct 728 ms 11300 KB Output is correct
14 Correct 727 ms 11312 KB Output is correct
15 Correct 730 ms 11324 KB Output is correct
16 Correct 139 ms 10016 KB Output is correct
17 Correct 148 ms 9980 KB Output is correct
18 Correct 143 ms 9976 KB Output is correct
19 Correct 148 ms 9976 KB Output is correct
20 Correct 143 ms 9976 KB Output is correct
21 Correct 899 ms 11320 KB Output is correct
22 Correct 898 ms 11284 KB Output is correct
23 Correct 886 ms 11316 KB Output is correct
24 Correct 878 ms 11328 KB Output is correct
25 Correct 882 ms 11412 KB Output is correct
26 Correct 968 ms 11344 KB Output is correct
27 Correct 995 ms 11480 KB Output is correct
28 Correct 982 ms 11312 KB Output is correct
29 Correct 970 ms 11332 KB Output is correct
30 Correct 740 ms 11236 KB Output is correct
31 Correct 730 ms 11316 KB Output is correct
32 Correct 729 ms 11316 KB Output is correct
33 Correct 731 ms 11316 KB Output is correct
34 Correct 734 ms 11336 KB Output is correct
35 Correct 732 ms 11368 KB Output is correct
36 Correct 729 ms 11332 KB Output is correct
37 Correct 729 ms 11320 KB Output is correct
38 Correct 726 ms 11316 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 7904 KB Output is correct
2 Correct 18 ms 7804 KB Output is correct
3 Correct 19 ms 7900 KB Output is correct
4 Correct 19 ms 7800 KB Output is correct
5 Correct 19 ms 7800 KB Output is correct
6 Correct 20 ms 7800 KB Output is correct
7 Correct 20 ms 7800 KB Output is correct
8 Correct 20 ms 7800 KB Output is correct
9 Correct 20 ms 7928 KB Output is correct
10 Correct 20 ms 7924 KB Output is correct
11 Correct 19 ms 7928 KB Output is correct
12 Correct 22 ms 7800 KB Output is correct
13 Correct 18 ms 7800 KB Output is correct
14 Correct 19 ms 7800 KB Output is correct
15 Correct 19 ms 7800 KB Output is correct
16 Correct 15 ms 7772 KB Output is correct
17 Correct 14 ms 7800 KB Output is correct
18 Correct 15 ms 7800 KB Output is correct
19 Correct 15 ms 7928 KB Output is correct
20 Correct 15 ms 7800 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 761 ms 11228 KB Output is correct
2 Correct 728 ms 11384 KB Output is correct
3 Correct 727 ms 11440 KB Output is correct
4 Correct 730 ms 11504 KB Output is correct
5 Correct 732 ms 11484 KB Output is correct
6 Correct 727 ms 11372 KB Output is correct
7 Correct 729 ms 11440 KB Output is correct
8 Correct 739 ms 11388 KB Output is correct
9 Correct 729 ms 11300 KB Output is correct
10 Correct 751 ms 11308 KB Output is correct
11 Correct 744 ms 11408 KB Output is correct
12 Correct 737 ms 11428 KB Output is correct
13 Correct 728 ms 11300 KB Output is correct
14 Correct 727 ms 11312 KB Output is correct
15 Correct 730 ms 11324 KB Output is correct
16 Correct 139 ms 10016 KB Output is correct
17 Correct 148 ms 9980 KB Output is correct
18 Correct 143 ms 9976 KB Output is correct
19 Correct 148 ms 9976 KB Output is correct
20 Correct 143 ms 9976 KB Output is correct
21 Correct 899 ms 11320 KB Output is correct
22 Correct 898 ms 11284 KB Output is correct
23 Correct 886 ms 11316 KB Output is correct
24 Correct 878 ms 11328 KB Output is correct
25 Correct 882 ms 11412 KB Output is correct
26 Correct 968 ms 11344 KB Output is correct
27 Correct 995 ms 11480 KB Output is correct
28 Correct 982 ms 11312 KB Output is correct
29 Correct 970 ms 11332 KB Output is correct
30 Correct 740 ms 11236 KB Output is correct
31 Correct 730 ms 11316 KB Output is correct
32 Correct 729 ms 11316 KB Output is correct
33 Correct 731 ms 11316 KB Output is correct
34 Correct 734 ms 11336 KB Output is correct
35 Correct 732 ms 11368 KB Output is correct
36 Correct 729 ms 11332 KB Output is correct
37 Correct 729 ms 11320 KB Output is correct
38 Correct 726 ms 11316 KB Output is correct
39 Correct 19 ms 7904 KB Output is correct
40 Correct 18 ms 7804 KB Output is correct
41 Correct 19 ms 7900 KB Output is correct
42 Correct 19 ms 7800 KB Output is correct
43 Correct 19 ms 7800 KB Output is correct
44 Correct 20 ms 7800 KB Output is correct
45 Correct 20 ms 7800 KB Output is correct
46 Correct 20 ms 7800 KB Output is correct
47 Correct 20 ms 7928 KB Output is correct
48 Correct 20 ms 7924 KB Output is correct
49 Correct 19 ms 7928 KB Output is correct
50 Correct 22 ms 7800 KB Output is correct
51 Correct 18 ms 7800 KB Output is correct
52 Correct 19 ms 7800 KB Output is correct
53 Correct 19 ms 7800 KB Output is correct
54 Correct 15 ms 7772 KB Output is correct
55 Correct 14 ms 7800 KB Output is correct
56 Correct 15 ms 7800 KB Output is correct
57 Correct 15 ms 7928 KB Output is correct
58 Correct 15 ms 7800 KB Output is correct
59 Correct 987 ms 11324 KB Output is correct
60 Correct 982 ms 11324 KB Output is correct
61 Correct 962 ms 11372 KB Output is correct
62 Correct 982 ms 11320 KB Output is correct
63 Correct 981 ms 11376 KB Output is correct
64 Correct 1118 ms 11312 KB Output is correct
65 Correct 1109 ms 11312 KB Output is correct
66 Correct 1108 ms 11484 KB Output is correct
67 Correct 1111 ms 11320 KB Output is correct
68 Correct 1127 ms 11456 KB Output is correct
69 Correct 926 ms 11320 KB Output is correct
70 Correct 932 ms 11420 KB Output is correct
71 Correct 925 ms 11352 KB Output is correct
72 Correct 941 ms 11552 KB Output is correct
73 Correct 934 ms 11332 KB Output is correct
74 Correct 193 ms 10120 KB Output is correct
75 Correct 192 ms 10012 KB Output is correct
76 Correct 192 ms 10084 KB Output is correct
77 Correct 191 ms 10068 KB Output is correct
78 Correct 197 ms 10032 KB Output is correct