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Submission #1076351

# Submission time Handle Problem Language Result Execution time Memory
1076351 2024-08-26T13:13:48 Z alexdd Boat (APIO16_boat) C++17
9 / 100
 2000 ms 3928 KB 
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int MOD = 1e9+7;
int put(int a, int exp)
{
    if(exp==0)
        return 1;
    if(exp%2==0)
        return put(a*a%MOD,exp/2);
    else
        return put(a*a%MOD,exp/2)*a%MOD;
}
int n,cate;
int le[505],ri[505];
map<int,int> mp,nrm;
int invnrm[1005],nr[1005];
int dp[1005][505];
signed main()
{
    cin>>n;
    for(int i=1;i<=n;i++)
    {
        cin>>le[i]>>ri[i];
        mp[le[i]]++;
        mp[ri[i]]++;
    }
    for(auto it:mp)
    {
        if(it.second)
        {
            nrm[it.first]=++cate;
            invnrm[cate]=it.first;
        }
    }
    for(int i=1;i<=cate;i++)
    {
        nr[i] = invnrm[i]-invnrm[i-1];
    }
    dp[0][0]=1;
    for(int i=1;i<=n;i++)
    {
        le[i] = nrm[le[i]];
        ri[i] = nrm[ri[i]];
        int copnr = nr[le[i]];
        nr[le[i]]=1;
        for(int ult=ri[i];ult>=le[i];ult--)
        {
            for(int cnt=i;cnt>1;cnt--)
            {
                dp[ult][cnt]= (dp[ult][cnt] + dp[ult][cnt-1] * (nr[ult]-cnt+1)%MOD * put(cnt,MOD-2))%MOD;
            }
            for(int j=0;j<ult;j++)
                for(int orice=0;orice<i;orice++)
                    dp[ult][1] = (dp[ult][1] + dp[j][orice]*nr[ult])%MOD;
        }
        nr[le[i]]=copnr;
    }
    int rez=0;
    for(int ult=1;ult<=cate;ult++)
        for(int cnt=1;cnt<=n;cnt++)
            rez = (rez + dp[ult][cnt])%MOD;
    cout<<rez;
    return 0;
}
/**

impartim intervalul [1,1e9] in intervale relevante, o sa avem maxim 1000 intervale relevante

dp[i][ult][cnt] = in cate moduri pot primele i scoli barci, a.i. ultimele cnt numere sa fie aflate in intervalul ult

daca i poate sa aleaga intervalul ult

dp[i][ult][1] = dp[i-1][ult][1] + sum(dp[i-1][orice<ult][orice])*nr[ult]
pt cnt>=2  dp[i][ult][cnt] = dp[i-1][ult][cnt] + dp[i-1][ult][cnt-1] / comb(nr[ult],cnt-1) * comb(nr[ult],cnt)
pt cnt>=2  dp[i][ult][cnt] = dp[i-1][ult][cnt] + dp[i-1][ult][cnt-1] * (nr[ult]-cnt+1) / cnt

(nr[ult]-cnt+1) / cnt

*/

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 153 ms 2388 KB Output is correct
2 Correct 149 ms 2292 KB Output is correct
3 Correct 151 ms 2388 KB Output is correct
4 Correct 147 ms 2392 KB Output is correct
5 Correct 152 ms 2388 KB Output is correct
6 Correct 190 ms 2468 KB Output is correct
7 Correct 191 ms 2388 KB Output is correct
8 Correct 188 ms 2316 KB Output is correct
9 Correct 188 ms 2364 KB Output is correct
10 Correct 188 ms 2260 KB Output is correct
11 Correct 190 ms 2388 KB Output is correct
12 Correct 185 ms 2504 KB Output is correct
13 Correct 196 ms 2252 KB Output is correct
14 Correct 190 ms 2304 KB Output is correct
15 Correct 190 ms 2460 KB Output is correct
16 Correct 39 ms 600 KB Output is correct
17 Correct 43 ms 856 KB Output is correct
18 Correct 39 ms 604 KB Output is correct
19 Correct 38 ms 604 KB Output is correct
20 Correct 39 ms 600 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 153 ms 2388 KB Output is correct
2 Correct 149 ms 2292 KB Output is correct
3 Correct 151 ms 2388 KB Output is correct
4 Correct 147 ms 2392 KB Output is correct
5 Correct 152 ms 2388 KB Output is correct
6 Correct 190 ms 2468 KB Output is correct
7 Correct 191 ms 2388 KB Output is correct
8 Correct 188 ms 2316 KB Output is correct
9 Correct 188 ms 2364 KB Output is correct
10 Correct 188 ms 2260 KB Output is correct
11 Correct 190 ms 2388 KB Output is correct
12 Correct 185 ms 2504 KB Output is correct
13 Correct 196 ms 2252 KB Output is correct
14 Correct 190 ms 2304 KB Output is correct
15 Correct 190 ms 2460 KB Output is correct
16 Correct 39 ms 600 KB Output is correct
17 Correct 43 ms 856 KB Output is correct
18 Correct 39 ms 604 KB Output is correct
19 Correct 38 ms 604 KB Output is correct
20 Correct 39 ms 600 KB Output is correct
21 Execution timed out 2020 ms 3928 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 185 ms 1268 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 153 ms 2388 KB Output is correct
2 Correct 149 ms 2292 KB Output is correct
3 Correct 151 ms 2388 KB Output is correct
4 Correct 147 ms 2392 KB Output is correct
5 Correct 152 ms 2388 KB Output is correct
6 Correct 190 ms 2468 KB Output is correct
7 Correct 191 ms 2388 KB Output is correct
8 Correct 188 ms 2316 KB Output is correct
9 Correct 188 ms 2364 KB Output is correct
10 Correct 188 ms 2260 KB Output is correct
11 Correct 190 ms 2388 KB Output is correct
12 Correct 185 ms 2504 KB Output is correct
13 Correct 196 ms 2252 KB Output is correct
14 Correct 190 ms 2304 KB Output is correct
15 Correct 190 ms 2460 KB Output is correct
16 Correct 39 ms 600 KB Output is correct
17 Correct 43 ms 856 KB Output is correct
18 Correct 39 ms 604 KB Output is correct
19 Correct 38 ms 604 KB Output is correct
20 Correct 39 ms 600 KB Output is correct
21 Execution timed out 2020 ms 3928 KB Time limit exceeded
22 Halted 0 ms 0 KB -