oj.uz

Submission #43711

# Submission time Handle Problem Language Result Execution time Memory
43711 2018-03-20T18:53:35 Z spencercompton Boat (APIO16_boat) C++11
58 / 100
 2000 ms 880 KB 
#include<bits/stdc++.h>
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:49:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 1; i<all.size(); i++){
                     ^
boat.cpp:61:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 1; i<all.size(); i++){
                     ^
boat.cpp:79:25: 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 248 KB Output is correct
2 Correct 12 ms 352 KB Output is correct
3 Correct 12 ms 424 KB Output is correct
4 Correct 12 ms 440 KB Output is correct
5 Correct 12 ms 456 KB Output is correct
6 Correct 12 ms 564 KB Output is correct
7 Correct 12 ms 568 KB Output is correct
8 Correct 12 ms 568 KB Output is correct
9 Correct 12 ms 604 KB Output is correct
10 Correct 12 ms 604 KB Output is correct
11 Correct 12 ms 604 KB Output is correct
12 Correct 12 ms 604 KB Output is correct
13 Correct 12 ms 604 KB Output is correct
14 Correct 12 ms 604 KB Output is correct
15 Correct 12 ms 620 KB Output is correct
16 Correct 5 ms 620 KB Output is correct
17 Correct 5 ms 620 KB Output is correct
18 Correct 4 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 12 ms 248 KB Output is correct
2 Correct 12 ms 352 KB Output is correct
3 Correct 12 ms 424 KB Output is correct
4 Correct 12 ms 440 KB Output is correct
5 Correct 12 ms 456 KB Output is correct
6 Correct 12 ms 564 KB Output is correct
7 Correct 12 ms 568 KB Output is correct
8 Correct 12 ms 568 KB Output is correct
9 Correct 12 ms 604 KB Output is correct
10 Correct 12 ms 604 KB Output is correct
11 Correct 12 ms 604 KB Output is correct
12 Correct 12 ms 604 KB Output is correct
13 Correct 12 ms 604 KB Output is correct
14 Correct 12 ms 604 KB Output is correct
15 Correct 12 ms 620 KB Output is correct
16 Correct 5 ms 620 KB Output is correct
17 Correct 5 ms 620 KB Output is correct
18 Correct 4 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 946 ms 880 KB Output is correct
22 Correct 888 ms 880 KB Output is correct
23 Correct 807 ms 880 KB Output is correct
24 Correct 909 ms 880 KB Output is correct
25 Correct 940 ms 880 KB Output is correct
26 Correct 1538 ms 880 KB Output is correct
27 Correct 1558 ms 880 KB Output is correct
28 Correct 1566 ms 880 KB Output is correct
29 Correct 1595 ms 880 KB Output is correct
30 Correct 15 ms 880 KB Output is correct
31 Correct 15 ms 880 KB Output is correct
32 Correct 15 ms 880 KB Output is correct
33 Correct 15 ms 880 KB Output is correct
34 Correct 15 ms 880 KB Output is correct
35 Correct 14 ms 880 KB Output is correct
36 Correct 14 ms 880 KB Output is correct
37 Correct 14 ms 880 KB Output is correct
38 Correct 14 ms 880 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 880 KB Output is correct
2 Correct 25 ms 880 KB Output is correct
3 Correct 30 ms 880 KB Output is correct
4 Correct 30 ms 880 KB Output is correct
5 Correct 32 ms 880 KB Output is correct
6 Correct 48 ms 880 KB Output is correct
7 Correct 47 ms 880 KB Output is correct
8 Correct 48 ms 880 KB Output is correct
9 Correct 48 ms 880 KB Output is correct
10 Correct 48 ms 880 KB Output is correct
11 Correct 32 ms 880 KB Output is correct
12 Correct 26 ms 880 KB Output is correct
13 Correct 30 ms 880 KB Output is correct
14 Correct 30 ms 880 KB Output is correct
15 Correct 31 ms 880 KB Output is correct
16 Correct 18 ms 880 KB Output is correct
17 Correct 15 ms 880 KB Output is correct
18 Correct 16 ms 880 KB Output is correct
19 Correct 15 ms 880 KB Output is correct
20 Correct 17 ms 880 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 248 KB Output is correct
2 Correct 12 ms 352 KB Output is correct
3 Correct 12 ms 424 KB Output is correct
4 Correct 12 ms 440 KB Output is correct
5 Correct 12 ms 456 KB Output is correct
6 Correct 12 ms 564 KB Output is correct
7 Correct 12 ms 568 KB Output is correct
8 Correct 12 ms 568 KB Output is correct
9 Correct 12 ms 604 KB Output is correct
10 Correct 12 ms 604 KB Output is correct
11 Correct 12 ms 604 KB Output is correct
12 Correct 12 ms 604 KB Output is correct
13 Correct 12 ms 604 KB Output is correct
14 Correct 12 ms 604 KB Output is correct
15 Correct 12 ms 620 KB Output is correct
16 Correct 5 ms 620 KB Output is correct
17 Correct 5 ms 620 KB Output is correct
18 Correct 4 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 946 ms 880 KB Output is correct
22 Correct 888 ms 880 KB Output is correct
23 Correct 807 ms 880 KB Output is correct
24 Correct 909 ms 880 KB Output is correct
25 Correct 940 ms 880 KB Output is correct
26 Correct 1538 ms 880 KB Output is correct
27 Correct 1558 ms 880 KB Output is correct
28 Correct 1566 ms 880 KB Output is correct
29 Correct 1595 ms 880 KB Output is correct
30 Correct 15 ms 880 KB Output is correct
31 Correct 15 ms 880 KB Output is correct
32 Correct 15 ms 880 KB Output is correct
33 Correct 15 ms 880 KB Output is correct
34 Correct 15 ms 880 KB Output is correct
35 Correct 14 ms 880 KB Output is correct
36 Correct 14 ms 880 KB Output is correct
37 Correct 14 ms 880 KB Output is correct
38 Correct 14 ms 880 KB Output is correct
39 Correct 31 ms 880 KB Output is correct
40 Correct 25 ms 880 KB Output is correct
41 Correct 30 ms 880 KB Output is correct
42 Correct 30 ms 880 KB Output is correct
43 Correct 32 ms 880 KB Output is correct
44 Correct 48 ms 880 KB Output is correct
45 Correct 47 ms 880 KB Output is correct
46 Correct 48 ms 880 KB Output is correct
47 Correct 48 ms 880 KB Output is correct
48 Correct 48 ms 880 KB Output is correct
49 Correct 32 ms 880 KB Output is correct
50 Correct 26 ms 880 KB Output is correct
51 Correct 30 ms 880 KB Output is correct
52 Correct 30 ms 880 KB Output is correct
53 Correct 31 ms 880 KB Output is correct
54 Correct 18 ms 880 KB Output is correct
55 Correct 15 ms 880 KB Output is correct
56 Correct 16 ms 880 KB Output is correct
57 Correct 15 ms 880 KB Output is correct
58 Correct 17 ms 880 KB Output is correct
59 Correct 1125 ms 880 KB Output is correct
60 Correct 1057 ms 880 KB Output is correct
61 Correct 995 ms 880 KB Output is correct
62 Correct 1129 ms 880 KB Output is correct
63 Correct 1082 ms 880 KB Output is correct
64 Execution timed out 2008 ms 880 KB Time limit exceeded
65 Halted 0 ms 0 KB -