oj.uz

Submission #43712

# Submission time Handle Problem Language Result Execution time Memory
43712 2018-03-20T18:55:36 Z spencercompton Boat (APIO16_boat) C++11
58 / 100
 2000 ms 880 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 13 ms 248 KB Output is correct
2 Correct 12 ms 352 KB Output is correct
3 Correct 12 ms 532 KB Output is correct
4 Correct 13 ms 532 KB Output is correct
5 Correct 13 ms 532 KB Output is correct
6 Correct 13 ms 540 KB Output is correct
7 Correct 12 ms 556 KB Output is correct
8 Correct 13 ms 556 KB Output is correct
9 Correct 13 ms 556 KB Output is correct
10 Correct 12 ms 560 KB Output is correct
11 Correct 13 ms 560 KB Output is correct
12 Correct 12 ms 560 KB Output is correct
13 Correct 14 ms 576 KB Output is correct
14 Correct 13 ms 616 KB Output is correct
15 Correct 13 ms 616 KB Output is correct
16 Correct 5 ms 616 KB Output is correct
17 Correct 5 ms 620 KB Output is correct
18 Correct 5 ms 620 KB Output is correct
19 Correct 5 ms 620 KB Output is correct
20 Correct 5 ms 620 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 248 KB Output is correct
2 Correct 12 ms 352 KB Output is correct
3 Correct 12 ms 532 KB Output is correct
4 Correct 13 ms 532 KB Output is correct
5 Correct 13 ms 532 KB Output is correct
6 Correct 13 ms 540 KB Output is correct
7 Correct 12 ms 556 KB Output is correct
8 Correct 13 ms 556 KB Output is correct
9 Correct 13 ms 556 KB Output is correct
10 Correct 12 ms 560 KB Output is correct
11 Correct 13 ms 560 KB Output is correct
12 Correct 12 ms 560 KB Output is correct
13 Correct 14 ms 576 KB Output is correct
14 Correct 13 ms 616 KB Output is correct
15 Correct 13 ms 616 KB Output is correct
16 Correct 5 ms 616 KB Output is correct
17 Correct 5 ms 620 KB Output is correct
18 Correct 5 ms 620 KB Output is correct
19 Correct 5 ms 620 KB Output is correct
20 Correct 5 ms 620 KB Output is correct
21 Correct 953 ms 748 KB Output is correct
22 Correct 915 ms 764 KB Output is correct
23 Correct 854 ms 764 KB Output is correct
24 Correct 932 ms 764 KB Output is correct
25 Correct 940 ms 764 KB Output is correct
26 Correct 1608 ms 768 KB Output is correct
27 Correct 1729 ms 768 KB Output is correct
28 Correct 1640 ms 872 KB Output is correct
29 Correct 1644 ms 872 KB Output is correct
30 Correct 16 ms 872 KB Output is correct
31 Correct 15 ms 872 KB Output is correct
32 Correct 15 ms 872 KB Output is correct
33 Correct 15 ms 872 KB Output is correct
34 Correct 15 ms 872 KB Output is correct
35 Correct 14 ms 872 KB Output is correct
36 Correct 14 ms 872 KB Output is correct
37 Correct 15 ms 872 KB Output is correct
38 Correct 14 ms 872 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 872 KB Output is correct
2 Correct 25 ms 872 KB Output is correct
3 Correct 31 ms 872 KB Output is correct
4 Correct 31 ms 872 KB Output is correct
5 Correct 33 ms 872 KB Output is correct
6 Correct 50 ms 872 KB Output is correct
7 Correct 48 ms 872 KB Output is correct
8 Correct 48 ms 872 KB Output is correct
9 Correct 48 ms 872 KB Output is correct
10 Correct 53 ms 872 KB Output is correct
11 Correct 33 ms 872 KB Output is correct
12 Correct 27 ms 872 KB Output is correct
13 Correct 31 ms 872 KB Output is correct
14 Correct 31 ms 872 KB Output is correct
15 Correct 32 ms 872 KB Output is correct
16 Correct 18 ms 872 KB Output is correct
17 Correct 16 ms 872 KB Output is correct
18 Correct 18 ms 872 KB Output is correct
19 Correct 16 ms 872 KB Output is correct
20 Correct 18 ms 872 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 248 KB Output is correct
2 Correct 12 ms 352 KB Output is correct
3 Correct 12 ms 532 KB Output is correct
4 Correct 13 ms 532 KB Output is correct
5 Correct 13 ms 532 KB Output is correct
6 Correct 13 ms 540 KB Output is correct
7 Correct 12 ms 556 KB Output is correct
8 Correct 13 ms 556 KB Output is correct
9 Correct 13 ms 556 KB Output is correct
10 Correct 12 ms 560 KB Output is correct
11 Correct 13 ms 560 KB Output is correct
12 Correct 12 ms 560 KB Output is correct
13 Correct 14 ms 576 KB Output is correct
14 Correct 13 ms 616 KB Output is correct
15 Correct 13 ms 616 KB Output is correct
16 Correct 5 ms 616 KB Output is correct
17 Correct 5 ms 620 KB Output is correct
18 Correct 5 ms 620 KB Output is correct
19 Correct 5 ms 620 KB Output is correct
20 Correct 5 ms 620 KB Output is correct
21 Correct 953 ms 748 KB Output is correct
22 Correct 915 ms 764 KB Output is correct
23 Correct 854 ms 764 KB Output is correct
24 Correct 932 ms 764 KB Output is correct
25 Correct 940 ms 764 KB Output is correct
26 Correct 1608 ms 768 KB Output is correct
27 Correct 1729 ms 768 KB Output is correct
28 Correct 1640 ms 872 KB Output is correct
29 Correct 1644 ms 872 KB Output is correct
30 Correct 16 ms 872 KB Output is correct
31 Correct 15 ms 872 KB Output is correct
32 Correct 15 ms 872 KB Output is correct
33 Correct 15 ms 872 KB Output is correct
34 Correct 15 ms 872 KB Output is correct
35 Correct 14 ms 872 KB Output is correct
36 Correct 14 ms 872 KB Output is correct
37 Correct 15 ms 872 KB Output is correct
38 Correct 14 ms 872 KB Output is correct
39 Correct 31 ms 872 KB Output is correct
40 Correct 25 ms 872 KB Output is correct
41 Correct 31 ms 872 KB Output is correct
42 Correct 31 ms 872 KB Output is correct
43 Correct 33 ms 872 KB Output is correct
44 Correct 50 ms 872 KB Output is correct
45 Correct 48 ms 872 KB Output is correct
46 Correct 48 ms 872 KB Output is correct
47 Correct 48 ms 872 KB Output is correct
48 Correct 53 ms 872 KB Output is correct
49 Correct 33 ms 872 KB Output is correct
50 Correct 27 ms 872 KB Output is correct
51 Correct 31 ms 872 KB Output is correct
52 Correct 31 ms 872 KB Output is correct
53 Correct 32 ms 872 KB Output is correct
54 Correct 18 ms 872 KB Output is correct
55 Correct 16 ms 872 KB Output is correct
56 Correct 18 ms 872 KB Output is correct
57 Correct 16 ms 872 KB Output is correct
58 Correct 18 ms 872 KB Output is correct
59 Correct 1153 ms 872 KB Output is correct
60 Correct 1053 ms 872 KB Output is correct
61 Correct 1029 ms 872 KB Output is correct
62 Correct 1153 ms 880 KB Output is correct
63 Correct 1099 ms 880 KB Output is correct
64 Execution timed out 2033 ms 880 KB Time limit exceeded
65 Halted 0 ms 0 KB -