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Submission #43714

# Submission time Handle Problem Language Result Execution time Memory
43714 2018-03-20T21:32:44 Z spencercompton Boat (APIO16_boat) C++11
100 / 100
 1605 ms 1040 KB 
#include<bits/stdc++.h>
using namespace std;
long long mod = 1000000007LL;
long long perm[501];
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 *= perm[k];
    ret %= mod;
    return ret;
}
int main(){
    int n;
    cin >> n;
    int a[n+1];
    int b[n+1];
    a[0] = -10;
    b[0] = -10;
    perm[0] = 1LL;
    for(int i = 1; i<=500; i++){
        perm[i] = perm[i-1] * (long long)i;
        perm[i] %= mod;
    }
    for(int i = 0; i<=500; i++){
        perm[i] = modinv(perm[i]);
    }
    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:58:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 1; i<all.size(); i++){
                     ^
boat.cpp:70:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 1; i<all.size(); i++){
                     ^
boat.cpp:88:25: 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 13 ms 352 KB Output is correct
3 Correct 13 ms 548 KB Output is correct
4 Correct 13 ms 556 KB Output is correct
5 Correct 13 ms 556 KB Output is correct
6 Correct 13 ms 608 KB Output is correct
7 Correct 13 ms 628 KB Output is correct
8 Correct 13 ms 628 KB Output is correct
9 Correct 13 ms 688 KB Output is correct
10 Correct 13 ms 688 KB Output is correct
11 Correct 14 ms 688 KB Output is correct
12 Correct 13 ms 688 KB Output is correct
13 Correct 13 ms 688 KB Output is correct
14 Correct 13 ms 688 KB Output is correct
15 Correct 13 ms 688 KB Output is correct
16 Correct 5 ms 688 KB Output is correct
17 Correct 5 ms 688 KB Output is correct
18 Correct 5 ms 688 KB Output is correct
19 Correct 5 ms 688 KB Output is correct
20 Correct 5 ms 688 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 13 ms 352 KB Output is correct
3 Correct 13 ms 548 KB Output is correct
4 Correct 13 ms 556 KB Output is correct
5 Correct 13 ms 556 KB Output is correct
6 Correct 13 ms 608 KB Output is correct
7 Correct 13 ms 628 KB Output is correct
8 Correct 13 ms 628 KB Output is correct
9 Correct 13 ms 688 KB Output is correct
10 Correct 13 ms 688 KB Output is correct
11 Correct 14 ms 688 KB Output is correct
12 Correct 13 ms 688 KB Output is correct
13 Correct 13 ms 688 KB Output is correct
14 Correct 13 ms 688 KB Output is correct
15 Correct 13 ms 688 KB Output is correct
16 Correct 5 ms 688 KB Output is correct
17 Correct 5 ms 688 KB Output is correct
18 Correct 5 ms 688 KB Output is correct
19 Correct 5 ms 688 KB Output is correct
20 Correct 5 ms 688 KB Output is correct
21 Correct 668 ms 688 KB Output is correct
22 Correct 651 ms 764 KB Output is correct
23 Correct 588 ms 764 KB Output is correct
24 Correct 666 ms 764 KB Output is correct
25 Correct 675 ms 764 KB Output is correct
26 Correct 1236 ms 764 KB Output is correct
27 Correct 1240 ms 764 KB Output is correct
28 Correct 1237 ms 764 KB Output is correct
29 Correct 1267 ms 764 KB Output is correct
30 Correct 15 ms 764 KB Output is correct
31 Correct 15 ms 764 KB Output is correct
32 Correct 14 ms 764 KB Output is correct
33 Correct 14 ms 764 KB Output is correct
34 Correct 14 ms 764 KB Output is correct
35 Correct 13 ms 764 KB Output is correct
36 Correct 14 ms 764 KB Output is correct
37 Correct 13 ms 764 KB Output is correct
38 Correct 14 ms 764 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 764 KB Output is correct
2 Correct 15 ms 764 KB Output is correct
3 Correct 18 ms 764 KB Output is correct
4 Correct 19 ms 764 KB Output is correct
5 Correct 23 ms 764 KB Output is correct
6 Correct 31 ms 764 KB Output is correct
7 Correct 31 ms 764 KB Output is correct
8 Correct 31 ms 764 KB Output is correct
9 Correct 31 ms 764 KB Output is correct
10 Correct 31 ms 764 KB Output is correct
11 Correct 20 ms 764 KB Output is correct
12 Correct 17 ms 764 KB Output is correct
13 Correct 19 ms 764 KB Output is correct
14 Correct 19 ms 764 KB Output is correct
15 Correct 20 ms 764 KB Output is correct
16 Correct 11 ms 764 KB Output is correct
17 Correct 10 ms 764 KB Output is correct
18 Correct 10 ms 764 KB Output is correct
19 Correct 10 ms 764 KB Output is correct
20 Correct 11 ms 764 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 248 KB Output is correct
2 Correct 13 ms 352 KB Output is correct
3 Correct 13 ms 548 KB Output is correct
4 Correct 13 ms 556 KB Output is correct
5 Correct 13 ms 556 KB Output is correct
6 Correct 13 ms 608 KB Output is correct
7 Correct 13 ms 628 KB Output is correct
8 Correct 13 ms 628 KB Output is correct
9 Correct 13 ms 688 KB Output is correct
10 Correct 13 ms 688 KB Output is correct
11 Correct 14 ms 688 KB Output is correct
12 Correct 13 ms 688 KB Output is correct
13 Correct 13 ms 688 KB Output is correct
14 Correct 13 ms 688 KB Output is correct
15 Correct 13 ms 688 KB Output is correct
16 Correct 5 ms 688 KB Output is correct
17 Correct 5 ms 688 KB Output is correct
18 Correct 5 ms 688 KB Output is correct
19 Correct 5 ms 688 KB Output is correct
20 Correct 5 ms 688 KB Output is correct
21 Correct 668 ms 688 KB Output is correct
22 Correct 651 ms 764 KB Output is correct
23 Correct 588 ms 764 KB Output is correct
24 Correct 666 ms 764 KB Output is correct
25 Correct 675 ms 764 KB Output is correct
26 Correct 1236 ms 764 KB Output is correct
27 Correct 1240 ms 764 KB Output is correct
28 Correct 1237 ms 764 KB Output is correct
29 Correct 1267 ms 764 KB Output is correct
30 Correct 15 ms 764 KB Output is correct
31 Correct 15 ms 764 KB Output is correct
32 Correct 14 ms 764 KB Output is correct
33 Correct 14 ms 764 KB Output is correct
34 Correct 14 ms 764 KB Output is correct
35 Correct 13 ms 764 KB Output is correct
36 Correct 14 ms 764 KB Output is correct
37 Correct 13 ms 764 KB Output is correct
38 Correct 14 ms 764 KB Output is correct
39 Correct 19 ms 764 KB Output is correct
40 Correct 15 ms 764 KB Output is correct
41 Correct 18 ms 764 KB Output is correct
42 Correct 19 ms 764 KB Output is correct
43 Correct 23 ms 764 KB Output is correct
44 Correct 31 ms 764 KB Output is correct
45 Correct 31 ms 764 KB Output is correct
46 Correct 31 ms 764 KB Output is correct
47 Correct 31 ms 764 KB Output is correct
48 Correct 31 ms 764 KB Output is correct
49 Correct 20 ms 764 KB Output is correct
50 Correct 17 ms 764 KB Output is correct
51 Correct 19 ms 764 KB Output is correct
52 Correct 19 ms 764 KB Output is correct
53 Correct 20 ms 764 KB Output is correct
54 Correct 11 ms 764 KB Output is correct
55 Correct 10 ms 764 KB Output is correct
56 Correct 10 ms 764 KB Output is correct
57 Correct 10 ms 764 KB Output is correct
58 Correct 11 ms 764 KB Output is correct
59 Correct 833 ms 880 KB Output is correct
60 Correct 748 ms 880 KB Output is correct
61 Correct 739 ms 880 KB Output is correct
62 Correct 856 ms 880 KB Output is correct
63 Correct 786 ms 880 KB Output is correct
64 Correct 1605 ms 880 KB Output is correct
65 Correct 1599 ms 880 KB Output is correct
66 Correct 1592 ms 880 KB Output is correct
67 Correct 1588 ms 892 KB Output is correct
68 Correct 1584 ms 892 KB Output is correct
69 Correct 730 ms 892 KB Output is correct
70 Correct 756 ms 892 KB Output is correct
71 Correct 732 ms 980 KB Output is correct
72 Correct 762 ms 980 KB Output is correct
73 Correct 763 ms 980 KB Output is correct
74 Correct 130 ms 980 KB Output is correct
75 Correct 117 ms 980 KB Output is correct
76 Correct 125 ms 1040 KB Output is correct
77 Correct 120 ms 1040 KB Output is correct
78 Correct 124 ms 1040 KB Output is correct