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Submission #399048

# Submission time Handle Problem Language Result Execution time Memory
399048 2021-05-05T07:52:05 Z oolimry Boat (APIO16_boat) C++17
100 / 100
 1351 ms 8416 KB 
#include <bits/stdc++.h>

using namespace std;
typedef pair<long long, long long> ii;
long long mod = 1000000007;


long long modInverse(long long a, long long m){
    long long m0 = m;
    long long y = 0, x = 1;

    if (m == 1)
      return 0;

    while (a > 1){
        // q is quotient
        long long q = a / m;
        long long t = m;

        // m is remainder now, process same as
        // Euclid's algo
        m = a % m, a = t;
        t = y;

        // Update y and x
        y = x - q * y;
        x = t;
    }

    // Make x positive
    if (x < 0)
       x += m0;

    return x;
}
static long long a[505];
static long long b[505];
static long long inverse[505];
static ii ranges[1010];
static long long diff[1010];
static long long posa[505];
static long long posb[505];
static long long dp[2][2005][505];
static long long acc[1010];
int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    for(long long i = 1;i < 505;i++){
        inverse[i] = modInverse(i,mod);
    }
    int n;
    cin >> n;


    vector<long long> s;
    for(int i = 0;i < n;i++){
        cin >> a[i] >> b[i];
        s.push_back(a[i]);
        s.push_back(b[i]+1);
    }
    //cout << s.size() << endl;
    sort(s.begin(),s.end());
    s.erase(unique(s.begin(),s.end()),s.end());
    vector<long long> key;
    for(int i = 0;i < s.size();i++){
        key.push_back(s[i]);
    }
    //cout << k.size() << endl;
    int m = key.size() - 1;

    for(int i = 0;i < m;i++){
        ranges[i] = (ii(key[i],key[i+1]-1));
    }
    //sort(ranges,ranges + m);

    //cout << m << "\n";

    for(int i = 0;i < m;i++){
        diff[i] = ranges[i].second - ranges[i].first + 1;
        diff[i] %= mod;
        //cout << ranges[i].first << " " << ranges[i].second << "\n";
    }

    for(int i = 0;i < n;i++){
        for(int j = 0;j < m;j++){
            if(ranges[j].first == a[i]) posa[i] = j;
            if(ranges[j].second == b[i]) posb[i] = j;
        }
    }

    for(int j = posa[0];j <= posb[0];j++){
        dp[0][j][1] = diff[j];
    }

    for(int i = 1;i < n;i++){

        fill(acc,acc+m,0);
        ///take nothing for this school
        int ii = i % 2;
        for(int j = 0;j < m;j++){
            for(int k = 1;k < 505;k++){
                long long y = dp[ii^1][j][k];
                if(y == 0) break;
                dp[ii][j][k] = y;
                //dp[ii][j][k] %= mod;
                acc[j] += y;
                acc[j] %= mod;
            }
            if(j!=0){
                acc[j] += acc[j-1];
                acc[j] %= mod;
            }
        }


        ///take same as previous school
        for(int j = posa[i];j <= posb[i];j++){
            if(a[i] <= ranges[j].first && b[i] >= ranges[j].second){
                for(int k = 2;k < 505;k++){
                    long long x = dp[ii^1][j][k-1];
                    if(x == 0) break;
                    if(diff[j] - k + 1 <= 0) break;
                    x *= (diff[j] - k + 1);
                    x %= mod;
                    x *= inverse[k];
                    x %= mod;
                    dp[ii][j][k] += x;
                    //dp[ii][j][k] %= mod;
                }
            }
        }

        ///take for the first time
        //long long acc = 0ll;
        for(int j = posa[i];j <= posb[i];j++){
            if(a[i] <= ranges[j].first && b[i] >= ranges[j].second){
                long long x;
                if(j == 0) x = 0;
                else x = acc[j-1];
                x += 1;
                x *= diff[j];
                dp[ii][j][1] += x;
                dp[ii][j][1] %= mod;
            }
        }

    }

    long long ans = 0ll;
    for(int j = 0;j < m;j++){
        for(int k = 1;k < 505;k++){
            ans += dp[(n-1)%2][j][k];
            ans %= mod;
        }
    }
    cout << ans;

    return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:65:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   65 |     for(int i = 0;i < s.size();i++){
      |                   ~~^~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4300 KB Output is correct
2 Correct 13 ms 4312 KB Output is correct
3 Correct 12 ms 4432 KB Output is correct
4 Correct 13 ms 4300 KB Output is correct
5 Correct 14 ms 4352 KB Output is correct
6 Correct 12 ms 4428 KB Output is correct
7 Correct 12 ms 4428 KB Output is correct
8 Correct 13 ms 4428 KB Output is correct
9 Correct 12 ms 4428 KB Output is correct
10 Correct 12 ms 4428 KB Output is correct
11 Correct 13 ms 4428 KB Output is correct
12 Correct 12 ms 4428 KB Output is correct
13 Correct 12 ms 4428 KB Output is correct
14 Correct 12 ms 4428 KB Output is correct
15 Correct 13 ms 4300 KB Output is correct
16 Correct 3 ms 1100 KB Output is correct
17 Correct 4 ms 1100 KB Output is correct
18 Correct 3 ms 1100 KB Output is correct
19 Correct 3 ms 1100 KB Output is correct
20 Correct 3 ms 1100 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4300 KB Output is correct
2 Correct 13 ms 4312 KB Output is correct
3 Correct 12 ms 4432 KB Output is correct
4 Correct 13 ms 4300 KB Output is correct
5 Correct 14 ms 4352 KB Output is correct
6 Correct 12 ms 4428 KB Output is correct
7 Correct 12 ms 4428 KB Output is correct
8 Correct 13 ms 4428 KB Output is correct
9 Correct 12 ms 4428 KB Output is correct
10 Correct 12 ms 4428 KB Output is correct
11 Correct 13 ms 4428 KB Output is correct
12 Correct 12 ms 4428 KB Output is correct
13 Correct 12 ms 4428 KB Output is correct
14 Correct 12 ms 4428 KB Output is correct
15 Correct 13 ms 4300 KB Output is correct
16 Correct 3 ms 1100 KB Output is correct
17 Correct 4 ms 1100 KB Output is correct
18 Correct 3 ms 1100 KB Output is correct
19 Correct 3 ms 1100 KB Output is correct
20 Correct 3 ms 1100 KB Output is correct
21 Correct 43 ms 7688 KB Output is correct
22 Correct 42 ms 7680 KB Output is correct
23 Correct 43 ms 7500 KB Output is correct
24 Correct 43 ms 7472 KB Output is correct
25 Correct 44 ms 7544 KB Output is correct
26 Correct 35 ms 7244 KB Output is correct
27 Correct 36 ms 7376 KB Output is correct
28 Correct 35 ms 7260 KB Output is correct
29 Correct 37 ms 7236 KB Output is correct
30 Correct 16 ms 8172 KB Output is correct
31 Correct 17 ms 8268 KB Output is correct
32 Correct 16 ms 8244 KB Output is correct
33 Correct 17 ms 8268 KB Output is correct
34 Correct 16 ms 8128 KB Output is correct
35 Correct 18 ms 8220 KB Output is correct
36 Correct 18 ms 8268 KB Output is correct
37 Correct 17 ms 8268 KB Output is correct
38 Correct 17 ms 8168 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 1868 KB Output is correct
2 Correct 6 ms 1868 KB Output is correct
3 Correct 7 ms 1868 KB Output is correct
4 Correct 7 ms 1868 KB Output is correct
5 Correct 8 ms 1944 KB Output is correct
6 Correct 12 ms 1860 KB Output is correct
7 Correct 12 ms 1848 KB Output is correct
8 Correct 13 ms 1868 KB Output is correct
9 Correct 12 ms 1868 KB Output is correct
10 Correct 12 ms 1868 KB Output is correct
11 Correct 8 ms 1944 KB Output is correct
12 Correct 7 ms 1868 KB Output is correct
13 Correct 8 ms 1868 KB Output is correct
14 Correct 7 ms 1868 KB Output is correct
15 Correct 8 ms 1868 KB Output is correct
16 Correct 4 ms 1228 KB Output is correct
17 Correct 4 ms 1228 KB Output is correct
18 Correct 4 ms 1228 KB Output is correct
19 Correct 3 ms 1224 KB Output is correct
20 Correct 4 ms 1224 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4300 KB Output is correct
2 Correct 13 ms 4312 KB Output is correct
3 Correct 12 ms 4432 KB Output is correct
4 Correct 13 ms 4300 KB Output is correct
5 Correct 14 ms 4352 KB Output is correct
6 Correct 12 ms 4428 KB Output is correct
7 Correct 12 ms 4428 KB Output is correct
8 Correct 13 ms 4428 KB Output is correct
9 Correct 12 ms 4428 KB Output is correct
10 Correct 12 ms 4428 KB Output is correct
11 Correct 13 ms 4428 KB Output is correct
12 Correct 12 ms 4428 KB Output is correct
13 Correct 12 ms 4428 KB Output is correct
14 Correct 12 ms 4428 KB Output is correct
15 Correct 13 ms 4300 KB Output is correct
16 Correct 3 ms 1100 KB Output is correct
17 Correct 4 ms 1100 KB Output is correct
18 Correct 3 ms 1100 KB Output is correct
19 Correct 3 ms 1100 KB Output is correct
20 Correct 3 ms 1100 KB Output is correct
21 Correct 43 ms 7688 KB Output is correct
22 Correct 42 ms 7680 KB Output is correct
23 Correct 43 ms 7500 KB Output is correct
24 Correct 43 ms 7472 KB Output is correct
25 Correct 44 ms 7544 KB Output is correct
26 Correct 35 ms 7244 KB Output is correct
27 Correct 36 ms 7376 KB Output is correct
28 Correct 35 ms 7260 KB Output is correct
29 Correct 37 ms 7236 KB Output is correct
30 Correct 16 ms 8172 KB Output is correct
31 Correct 17 ms 8268 KB Output is correct
32 Correct 16 ms 8244 KB Output is correct
33 Correct 17 ms 8268 KB Output is correct
34 Correct 16 ms 8128 KB Output is correct
35 Correct 18 ms 8220 KB Output is correct
36 Correct 18 ms 8268 KB Output is correct
37 Correct 17 ms 8268 KB Output is correct
38 Correct 17 ms 8168 KB Output is correct
39 Correct 7 ms 1868 KB Output is correct
40 Correct 6 ms 1868 KB Output is correct
41 Correct 7 ms 1868 KB Output is correct
42 Correct 7 ms 1868 KB Output is correct
43 Correct 8 ms 1944 KB Output is correct
44 Correct 12 ms 1860 KB Output is correct
45 Correct 12 ms 1848 KB Output is correct
46 Correct 13 ms 1868 KB Output is correct
47 Correct 12 ms 1868 KB Output is correct
48 Correct 12 ms 1868 KB Output is correct
49 Correct 8 ms 1944 KB Output is correct
50 Correct 7 ms 1868 KB Output is correct
51 Correct 8 ms 1868 KB Output is correct
52 Correct 7 ms 1868 KB Output is correct
53 Correct 8 ms 1868 KB Output is correct
54 Correct 4 ms 1228 KB Output is correct
55 Correct 4 ms 1228 KB Output is correct
56 Correct 4 ms 1228 KB Output is correct
57 Correct 3 ms 1224 KB Output is correct
58 Correct 4 ms 1224 KB Output is correct
59 Correct 701 ms 8296 KB Output is correct
60 Correct 635 ms 8388 KB Output is correct
61 Correct 626 ms 8416 KB Output is correct
62 Correct 717 ms 8292 KB Output is correct
63 Correct 667 ms 8224 KB Output is correct
64 Correct 1347 ms 8280 KB Output is correct
65 Correct 1351 ms 8312 KB Output is correct
66 Correct 1343 ms 8196 KB Output is correct
67 Correct 1347 ms 8412 KB Output is correct
68 Correct 1337 ms 8348 KB Output is correct
69 Correct 668 ms 8268 KB Output is correct
70 Correct 699 ms 8388 KB Output is correct
71 Correct 690 ms 8280 KB Output is correct
72 Correct 713 ms 8280 KB Output is correct
73 Correct 711 ms 8268 KB Output is correct
74 Correct 72 ms 1860 KB Output is correct
75 Correct 69 ms 1832 KB Output is correct
76 Correct 71 ms 1740 KB Output is correct
77 Correct 72 ms 1752 KB Output is correct
78 Correct 72 ms 1860 KB Output is correct