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Submission #43710

# Submission time Handle Problem Language Result Execution time Memory
43710 2018-03-20T18:50:53 Z spencercompton Boat (APIO16_boat) C++14
58 / 100
 2000 ms 760 KB 
#include<bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
using namespace std;
long long mod = 1000000007LL;
long long fastpow(long long base, int ex){
    if(ex==0){
        return 1LL;
    }
    if(ex%2==1){
        return (base * fastpow(base,ex-1))%mod;
    }
    else{
        return fastpow((base*base)%mod,ex/2);
    }
}
long long modinv(long long x){
    return fastpow(x,(int)mod-2);
}
long long choose(long long n, long long k){
    if(k<0LL || k>n){
        return 0LL;
    }
    long long ret = 1LL;
    for(long long i = 0; i<k; i++){
        ret *= (n-i);
        ret %= mod;
        ret *= modinv(i+1);
        ret %= mod;
    }
    return ret;
}
int main(){
    int n;
    cin >> n;
    int a[n+1];
    int b[n+1];
    a[0] = -10;
    b[0] = -10;
    for(int i = 1; i<=n; i++){
        cin >> a[i] >> b[i];
    }
    vector<int> all;
    for(int i = 1; i<=n; i++){
        all.push_back(b[i]);
        all.push_back(a[i]-1);
    }
    sort(all.begin(),all.end());
    vector<int> extralist;
    extralist.push_back(all[0]);
    for(int i = 1; i<all.size(); i++){
        if(all[i]!=all[i-1]){
            extralist.push_back(all[i]);
        }
    }
    all = extralist;
    extralist.clear();
    long long dp[n+1];
    dp[0] = 1LL;
    for(int i = 1; i<=n; i++){
        dp[i] = 0LL;
    }
    for(int i = 1; i<all.size(); i++){
        int curVal = all[i];
        long long k = all[i]-all[i-1];
        vector<long long> inds;
        vector<long long> li;
        vector<long long> li2;
        long long sum = 0LL;
        for(int j = 0; j<=n; j++){
            if(a[j]<=curVal && curVal<=b[j]){
                inds.push_back(j);
                li.push_back(dp[j]);
                li2.push_back(sum);
            }
            else{
                sum += dp[j];
                sum %= mod;
            }
        }
        for(int j = 0; j<li2.size(); j++){
            li.push_back(li2[j]);
        }
        int sz = inds.size();
        long long next[sz];
        for(int j = 0; j<sz; j++){
            next[j] = 0LL;
        }
        long long cn = sz+k-2LL;
        long long ck = sz;
        long long cur = -1LL;
        if(ck>=0 && ck<=cn){
            cur = choose(cn,ck);
        }
        for(int h = 0; h<sz; h++){
            next[sz-1-h] += k*li2[sz-1-h];
            next[sz-1-h] %= mod;
        }
        for(int j = 0; j+1<sz; j++){
            if(ck<0 || ck>cn){
                break;
            }
            for(int h = 0; h<=j; h++){
                next[sz-1-h] += li2[j-h]*cur;
                next[sz-1-h] %= mod;
            }
            if(j+1<sz){
                cn--;
                ck--;
                if(ck<0){
                    break;
                }
                cur *= modinv(cn+1LL);
                cur %= mod;
                cur *= ck+1LL;
                cur %= mod;
            }
        }
        
        
        cn = sz+k-2LL;
        ck = sz-1LL;
        cur = -1LL;
        if(ck>=0 && ck<=cn){
            cur = choose(cn,ck);
        }
        for(int h = 0; h<sz; h++){
            next[sz-1-h] += li[sz-1-h];
            next[sz-1-h] %= mod;
        }
        for(int j = 0; j+1<sz; j++){
            if(ck<0 || ck>cn){
                break;
            }
            for(int h = 0; h<=j; h++){
                next[sz-1-h] += li[j-h]*cur;
                next[sz-1-h] %= mod;
            }
            if(j+1<sz){
                cn--;
                ck--;
                if(ck<0){
                    break;
                }
                cur *= modinv(cn+1LL);
                cur %= mod;
                cur *= ck+1LL;
                cur %= mod;
            }
        }
        
        
        for(int i = 0; i<sz; i++){
            dp[inds[i]] = next[i]%mod;
        }
        
        //expo stuff
    }
    long long ans = 0LL;
    for(int i = 1; i<=n; i++){
        ans += dp[i];
        ans %= mod;
    }
    cout << ans << endl;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:51:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 1; i<all.size(); i++){
                     ^
boat.cpp:63:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 1; i<all.size(); i++){
                     ^
boat.cpp:81:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j = 0; j<li2.size(); j++){
                         ^

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 504 KB Output is correct
2 Correct 12 ms 504 KB Output is correct
3 Correct 12 ms 504 KB Output is correct
4 Correct 12 ms 588 KB Output is correct
5 Correct 13 ms 588 KB Output is correct
6 Correct 13 ms 588 KB Output is correct
7 Correct 12 ms 588 KB Output is correct
8 Correct 12 ms 588 KB Output is correct
9 Correct 12 ms 704 KB Output is correct
10 Correct 12 ms 704 KB Output is correct
11 Correct 12 ms 704 KB Output is correct
12 Correct 12 ms 704 KB Output is correct
13 Correct 12 ms 704 KB Output is correct
14 Correct 12 ms 704 KB Output is correct
15 Correct 14 ms 704 KB Output is correct
16 Correct 5 ms 704 KB Output is correct
17 Correct 5 ms 704 KB Output is correct
18 Correct 5 ms 704 KB Output is correct
19 Correct 5 ms 704 KB Output is correct
20 Correct 5 ms 704 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 504 KB Output is correct
2 Correct 12 ms 504 KB Output is correct
3 Correct 12 ms 504 KB Output is correct
4 Correct 12 ms 588 KB Output is correct
5 Correct 13 ms 588 KB Output is correct
6 Correct 13 ms 588 KB Output is correct
7 Correct 12 ms 588 KB Output is correct
8 Correct 12 ms 588 KB Output is correct
9 Correct 12 ms 704 KB Output is correct
10 Correct 12 ms 704 KB Output is correct
11 Correct 12 ms 704 KB Output is correct
12 Correct 12 ms 704 KB Output is correct
13 Correct 12 ms 704 KB Output is correct
14 Correct 12 ms 704 KB Output is correct
15 Correct 14 ms 704 KB Output is correct
16 Correct 5 ms 704 KB Output is correct
17 Correct 5 ms 704 KB Output is correct
18 Correct 5 ms 704 KB Output is correct
19 Correct 5 ms 704 KB Output is correct
20 Correct 5 ms 704 KB Output is correct
21 Correct 947 ms 704 KB Output is correct
22 Correct 904 ms 756 KB Output is correct
23 Correct 826 ms 756 KB Output is correct
24 Correct 938 ms 756 KB Output is correct
25 Correct 989 ms 760 KB Output is correct
26 Correct 1591 ms 760 KB Output is correct
27 Correct 1621 ms 760 KB Output is correct
28 Correct 1606 ms 760 KB Output is correct
29 Correct 1636 ms 760 KB Output is correct
30 Correct 15 ms 760 KB Output is correct
31 Correct 15 ms 760 KB Output is correct
32 Correct 15 ms 760 KB Output is correct
33 Correct 15 ms 760 KB Output is correct
34 Correct 15 ms 760 KB Output is correct
35 Correct 14 ms 760 KB Output is correct
36 Correct 15 ms 760 KB Output is correct
37 Correct 16 ms 760 KB Output is correct
38 Correct 14 ms 760 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 760 KB Output is correct
2 Correct 25 ms 760 KB Output is correct
3 Correct 29 ms 760 KB Output is correct
4 Correct 33 ms 760 KB Output is correct
5 Correct 34 ms 760 KB Output is correct
6 Correct 48 ms 760 KB Output is correct
7 Correct 50 ms 760 KB Output is correct
8 Correct 48 ms 760 KB Output is correct
9 Correct 50 ms 760 KB Output is correct
10 Correct 49 ms 760 KB Output is correct
11 Correct 34 ms 760 KB Output is correct
12 Correct 27 ms 760 KB Output is correct
13 Correct 30 ms 760 KB Output is correct
14 Correct 31 ms 760 KB Output is correct
15 Correct 33 ms 760 KB Output is correct
16 Correct 20 ms 760 KB Output is correct
17 Correct 17 ms 760 KB Output is correct
18 Correct 17 ms 760 KB Output is correct
19 Correct 15 ms 760 KB Output is correct
20 Correct 17 ms 760 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 504 KB Output is correct
2 Correct 12 ms 504 KB Output is correct
3 Correct 12 ms 504 KB Output is correct
4 Correct 12 ms 588 KB Output is correct
5 Correct 13 ms 588 KB Output is correct
6 Correct 13 ms 588 KB Output is correct
7 Correct 12 ms 588 KB Output is correct
8 Correct 12 ms 588 KB Output is correct
9 Correct 12 ms 704 KB Output is correct
10 Correct 12 ms 704 KB Output is correct
11 Correct 12 ms 704 KB Output is correct
12 Correct 12 ms 704 KB Output is correct
13 Correct 12 ms 704 KB Output is correct
14 Correct 12 ms 704 KB Output is correct
15 Correct 14 ms 704 KB Output is correct
16 Correct 5 ms 704 KB Output is correct
17 Correct 5 ms 704 KB Output is correct
18 Correct 5 ms 704 KB Output is correct
19 Correct 5 ms 704 KB Output is correct
20 Correct 5 ms 704 KB Output is correct
21 Correct 947 ms 704 KB Output is correct
22 Correct 904 ms 756 KB Output is correct
23 Correct 826 ms 756 KB Output is correct
24 Correct 938 ms 756 KB Output is correct
25 Correct 989 ms 760 KB Output is correct
26 Correct 1591 ms 760 KB Output is correct
27 Correct 1621 ms 760 KB Output is correct
28 Correct 1606 ms 760 KB Output is correct
29 Correct 1636 ms 760 KB Output is correct
30 Correct 15 ms 760 KB Output is correct
31 Correct 15 ms 760 KB Output is correct
32 Correct 15 ms 760 KB Output is correct
33 Correct 15 ms 760 KB Output is correct
34 Correct 15 ms 760 KB Output is correct
35 Correct 14 ms 760 KB Output is correct
36 Correct 15 ms 760 KB Output is correct
37 Correct 16 ms 760 KB Output is correct
38 Correct 14 ms 760 KB Output is correct
39 Correct 31 ms 760 KB Output is correct
40 Correct 25 ms 760 KB Output is correct
41 Correct 29 ms 760 KB Output is correct
42 Correct 33 ms 760 KB Output is correct
43 Correct 34 ms 760 KB Output is correct
44 Correct 48 ms 760 KB Output is correct
45 Correct 50 ms 760 KB Output is correct
46 Correct 48 ms 760 KB Output is correct
47 Correct 50 ms 760 KB Output is correct
48 Correct 49 ms 760 KB Output is correct
49 Correct 34 ms 760 KB Output is correct
50 Correct 27 ms 760 KB Output is correct
51 Correct 30 ms 760 KB Output is correct
52 Correct 31 ms 760 KB Output is correct
53 Correct 33 ms 760 KB Output is correct
54 Correct 20 ms 760 KB Output is correct
55 Correct 17 ms 760 KB Output is correct
56 Correct 17 ms 760 KB Output is correct
57 Correct 15 ms 760 KB Output is correct
58 Correct 17 ms 760 KB Output is correct
59 Correct 1155 ms 760 KB Output is correct
60 Correct 1035 ms 760 KB Output is correct
61 Correct 1016 ms 760 KB Output is correct
62 Correct 1139 ms 760 KB Output is correct
63 Correct 1108 ms 760 KB Output is correct
64 Execution timed out 2041 ms 760 KB Time limit exceeded
65 Halted 0 ms 0 KB -