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Submission #258994

# Submission time Handle Problem Language Result Execution time Memory
258994 2020-08-07T00:29:36 Z daniel920712 Boat (APIO16_boat) C++14
9 / 100
 2000 ms 7452 KB 
#include <iostream>
#include <stdio.h>
#include <stdlib.h>
#include <set>
#include <map>
#include <time.h>

using namespace std;
long long MOD=1e9+7;
long long DP[505][2005];
long long CCon[505];
long long Con2[505];
bool use[505][2005]={0};
long long cha[2005],Con[2005],R[2005];
map < long long , long long > all;
long long N,now=0;
long long a[505],b[505];
map < long long , long long > con,r;
set < long long > have;

long long Pow(long long a,long long b)
{
    if(b==0) return 1;
    long long t=Pow(a,b/2);
    t*=t;
    t%=MOD;
    if(b%2) t*=a;
    return t%MOD;
}
long long C(long long x,long long y)
{
    return CCon[x]*Con2[y]%MOD*Con2[x-y]%MOD;
}
long long F(long long x,long long y)
{
    long long i,j,k,tt,ttt=0,aa=1;
    if(x==0) return y!=(now);
    if(use[x][y]) return DP[x][y];
    use[x][y]=1;
    DP[x][y]=F(x-1,y);
    for(i=0;i<y;i++)
    {
        ttt=0;
        if(!(cha[i]>=a[x]&&R[i]<cha[y]&&R[i]<=b[x])) continue;
        ttt=0;
        DP[x][y]+=Con[i]*F(x-1,i)%MOD;
        DP[x][y]%=MOD;
        for(j=x;j>=1;j--)
        {
            if(cha[i]>=a[j]&&R[i]<cha[y]&&R[i]<=b[j])
            {
                ttt++;
                aa=Con[i];
                for(k=2;k<=ttt;k++)
                {
                    aa*=(Con[i]-k+1);
                    aa%=MOD;
                    aa*=Pow(k,MOD-2);
                    aa%=MOD;
                    //aa*=C(ttt-2,k-2);
                    //aa%=MOD;

                    if(aa==0) break;
                    //printf("%lld %lld %lld %lld\n",Con[i],k,ttt,aa);
                    DP[x][y]+=aa*C(ttt-2,k-2)%MOD*F(j-1,i)%MOD;
                    DP[x][y]%=MOD;

                }
            }
        }
        //break;
    }
    //printf("%lld %lld %lld\n",x,cha[y],DP[x][y]);
    return DP[x][y];
}

int main()
{
    //freopen("3_01.in","rt",stdin);
    long long N,M,i;
    scanf("%lld",&N);
    CCon[0]=1;
    Con2[0]=1;
    for(i=1;i<=N;i++)
    {
        CCon[i]=CCon[i-1]*i%MOD;
        Con2[i]=Pow(CCon[i],MOD-2);
    }
    for(i=1;i<=N;i++)
    {
        scanf("%lld %lld",&a[i],&b[i]);
        have.insert(a[i]);
        have.insert(a[i]+1);
        have.insert(b[i]);
        have.insert(b[i]+1);
    }
    for(auto i:have)
    {
        if(i==*prev(have.end()))
        {
            con[i]=1;
            r[i]=i;
        }
        if(have.lower_bound(i)!=have.begin())
        {
            con[*prev(have.lower_bound(i))]=i-*prev(have.lower_bound(i));
            r[*prev(have.lower_bound(i))]=i-1;
        }
    }
    for(auto i:con)
    {
        cha[now]=i.first;
        Con[now]=i.second;
        R[now]=r[i.first];
        now++;
    }
    cha[now]=1e9+5;
    Con[now]=0;
    R[now]=2e9;
    printf("%lld\n",F(N,now));


    return 0;
}
/*
2
32 47
18 78
*/

Compilation message

boat.cpp: In function 'long long int F(long long int, long long int)':
boat.cpp:36:21: warning: unused variable 'tt' [-Wunused-variable]
     long long i,j,k,tt,ttt=0,aa=1;
                     ^~
boat.cpp: In function 'int main()':
boat.cpp:80:17: warning: unused variable 'M' [-Wunused-variable]
     long long N,M,i;
                 ^
boat.cpp:81:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%lld",&N);
     ~~~~~^~~~~~~~~~~
boat.cpp:91:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%lld %lld",&a[i],&b[i]);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 110 ms 7420 KB Output is correct
2 Correct 107 ms 7416 KB Output is correct
3 Correct 124 ms 7452 KB Output is correct
4 Correct 98 ms 7416 KB Output is correct
5 Correct 109 ms 7416 KB Output is correct
6 Correct 130 ms 6392 KB Output is correct
7 Correct 125 ms 6184 KB Output is correct
8 Correct 139 ms 6776 KB Output is correct
9 Correct 137 ms 6648 KB Output is correct
10 Correct 126 ms 6808 KB Output is correct
11 Correct 123 ms 6648 KB Output is correct
12 Correct 125 ms 7160 KB Output is correct
13 Correct 126 ms 6820 KB Output is correct
14 Correct 125 ms 6392 KB Output is correct
15 Correct 129 ms 6904 KB Output is correct
16 Correct 56 ms 4088 KB Output is correct
17 Correct 60 ms 4088 KB Output is correct
18 Correct 51 ms 4088 KB Output is correct
19 Correct 55 ms 4092 KB Output is correct
20 Correct 53 ms 4216 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 110 ms 7420 KB Output is correct
2 Correct 107 ms 7416 KB Output is correct
3 Correct 124 ms 7452 KB Output is correct
4 Correct 98 ms 7416 KB Output is correct
5 Correct 109 ms 7416 KB Output is correct
6 Correct 130 ms 6392 KB Output is correct
7 Correct 125 ms 6184 KB Output is correct
8 Correct 139 ms 6776 KB Output is correct
9 Correct 137 ms 6648 KB Output is correct
10 Correct 126 ms 6808 KB Output is correct
11 Correct 123 ms 6648 KB Output is correct
12 Correct 125 ms 7160 KB Output is correct
13 Correct 126 ms 6820 KB Output is correct
14 Correct 125 ms 6392 KB Output is correct
15 Correct 129 ms 6904 KB Output is correct
16 Correct 56 ms 4088 KB Output is correct
17 Correct 60 ms 4088 KB Output is correct
18 Correct 51 ms 4088 KB Output is correct
19 Correct 55 ms 4092 KB Output is correct
20 Correct 53 ms 4216 KB Output is correct
21 Execution timed out 2090 ms 1912 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2072 ms 1000 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 110 ms 7420 KB Output is correct
2 Correct 107 ms 7416 KB Output is correct
3 Correct 124 ms 7452 KB Output is correct
4 Correct 98 ms 7416 KB Output is correct
5 Correct 109 ms 7416 KB Output is correct
6 Correct 130 ms 6392 KB Output is correct
7 Correct 125 ms 6184 KB Output is correct
8 Correct 139 ms 6776 KB Output is correct
9 Correct 137 ms 6648 KB Output is correct
10 Correct 126 ms 6808 KB Output is correct
11 Correct 123 ms 6648 KB Output is correct
12 Correct 125 ms 7160 KB Output is correct
13 Correct 126 ms 6820 KB Output is correct
14 Correct 125 ms 6392 KB Output is correct
15 Correct 129 ms 6904 KB Output is correct
16 Correct 56 ms 4088 KB Output is correct
17 Correct 60 ms 4088 KB Output is correct
18 Correct 51 ms 4088 KB Output is correct
19 Correct 55 ms 4092 KB Output is correct
20 Correct 53 ms 4216 KB Output is correct
21 Execution timed out 2090 ms 1912 KB Time limit exceeded
22 Halted 0 ms 0 KB -