Submission #986075

# Submission time Handle Problem Language Result Execution time Memory
986075 2024-05-19T17:41:16 Z salmon Boat (APIO16_boat) C++14
9 / 100
199 ms 2652 KB
#include <bits/stdc++.h>
using namespace std;

int N;
pair<int,int> lst[510];
int a, b;
long long int mod = 1'000'000'007;
long long int p[510];
long long int fact[510];
vector<int> de;
vector<int> bat[1100];
map<int,int> mep;

long long int expo(long long int x, long long int b, long long int mul){
    if(mul == 0) return x;
    if(mul % 2 == 1){
        return expo(x * b % mod, b * b % mod, mul / 2);
    }
    else{
        return expo(x, b * b % mod, mul / 2);
    }
}

int main(){

    scanf(" %d",&N);

    for(int i = 1; i <= N; i++){
        scanf(" %d",&a);
        scanf(" %d",&b);

        lst[i] = {a,b};

        de.push_back(a);
        de.push_back(b + 1);
        p[i] = 0;
    }

    p[N + 1] = 0;
    p[0] = 1;

    fact[0] = 1;
    for(int i = 1; i < 510; i++){
        fact[i] = fact[i - 1] *  i % mod;
    }

    sort(de.begin(),de.end());
    de.resize(unique(de.begin(),de.end()) - de.begin());

    for(int i = 0; i < de.size(); i++){
        mep[de[i]] = i;
    }

    for(int i = 1; i <= N; i++){
        for(int j = 0; j < de.size(); j++){
            if(lst[i].first <= de[j] && de[j] <= lst[i].second){
                bat[j].push_back(i);
            }
        }
    }

    for(int i = 0; i < de.size() - 1; i++){
        long long int mul[510];

        int c = de[i + 1] - de[i];

        mul[0] = c;

        for(int i = 1; i < 509; i++){
            mul[i] = mul[i - 1] * (i + c) % mod;
        }

        for(int i = 0; i < 509; i++){
            mul[i] = expo(mul[i], fact[i + 1], mod - 2);
            //printf("%lld ",mul[i]);
        }

        vector<int> v = {0};
        long long int pst[510];

        for(int i = 0; i <= 501; i++){
            pst[i] = 0;
        }

        for(int j = 0; j < bat[i].size(); j++){
            v.push_back(bat[i][j]);
            long long int sum = 0;

            for(int k = 0; k < v.size() - 1; k++){
                int ni = v.size();


                for(int i = v[ni - 2 - k]; i <= v[ni - 1 - k] - 1; i++){
                    sum = (sum + p[i] * mul[k]) % mod;
                    assert(mul[k] == 1);
                }
            }

            pst[bat[i][j]] = sum;
        }

        for(int i = 0; i <= 501; i++){
            p[i] = (p[i] + pst[i]) % mod;
        }
    }

    long long int ans = 0;

    for(int i = 1; i <= N; i++){
        ans = (ans + p[i]) % mod;
    }


    printf("%lld",ans );
}
/*
3
1 2
2 4
2 4

2
1 2
2 4

3
2 2
4 4
4 4
*/

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:50:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |     for(int i = 0; i < de.size(); i++){
      |                    ~~^~~~~~~~~~~
boat.cpp:55:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 |         for(int j = 0; j < de.size(); j++){
      |                        ~~^~~~~~~~~~~
boat.cpp:62:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |     for(int i = 0; i < de.size() - 1; i++){
      |                    ~~^~~~~~~~~~~~~~~
boat.cpp:85:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   85 |         for(int j = 0; j < bat[i].size(); j++){
      |                        ~~^~~~~~~~~~~~~~~
boat.cpp:89:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   89 |             for(int k = 0; k < v.size() - 1; k++){
      |                            ~~^~~~~~~~~~~~~~
boat.cpp:26:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   26 |     scanf(" %d",&N);
      |     ~~~~~^~~~~~~~~~
boat.cpp:29:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   29 |         scanf(" %d",&a);
      |         ~~~~~^~~~~~~~~~
boat.cpp:30:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   30 |         scanf(" %d",&b);
      |         ~~~~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 199 ms 520 KB Output is correct
2 Correct 199 ms 528 KB Output is correct
3 Correct 199 ms 348 KB Output is correct
4 Correct 199 ms 528 KB Output is correct
5 Correct 199 ms 348 KB Output is correct
6 Correct 198 ms 348 KB Output is correct
7 Correct 199 ms 596 KB Output is correct
8 Correct 198 ms 344 KB Output is correct
9 Correct 198 ms 540 KB Output is correct
10 Correct 198 ms 532 KB Output is correct
11 Correct 199 ms 344 KB Output is correct
12 Correct 198 ms 348 KB Output is correct
13 Correct 199 ms 596 KB Output is correct
14 Correct 199 ms 344 KB Output is correct
15 Correct 198 ms 348 KB Output is correct
16 Correct 36 ms 348 KB Output is correct
17 Correct 39 ms 344 KB Output is correct
18 Correct 37 ms 348 KB Output is correct
19 Correct 38 ms 348 KB Output is correct
20 Correct 37 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 199 ms 520 KB Output is correct
2 Correct 199 ms 528 KB Output is correct
3 Correct 199 ms 348 KB Output is correct
4 Correct 199 ms 528 KB Output is correct
5 Correct 199 ms 348 KB Output is correct
6 Correct 198 ms 348 KB Output is correct
7 Correct 199 ms 596 KB Output is correct
8 Correct 198 ms 344 KB Output is correct
9 Correct 198 ms 540 KB Output is correct
10 Correct 198 ms 532 KB Output is correct
11 Correct 199 ms 344 KB Output is correct
12 Correct 198 ms 348 KB Output is correct
13 Correct 199 ms 596 KB Output is correct
14 Correct 199 ms 344 KB Output is correct
15 Correct 198 ms 348 KB Output is correct
16 Correct 36 ms 348 KB Output is correct
17 Correct 39 ms 344 KB Output is correct
18 Correct 37 ms 348 KB Output is correct
19 Correct 38 ms 348 KB Output is correct
20 Correct 37 ms 344 KB Output is correct
21 Runtime error 3 ms 2652 KB Execution killed with signal 6
22 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 604 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 199 ms 520 KB Output is correct
2 Correct 199 ms 528 KB Output is correct
3 Correct 199 ms 348 KB Output is correct
4 Correct 199 ms 528 KB Output is correct
5 Correct 199 ms 348 KB Output is correct
6 Correct 198 ms 348 KB Output is correct
7 Correct 199 ms 596 KB Output is correct
8 Correct 198 ms 344 KB Output is correct
9 Correct 198 ms 540 KB Output is correct
10 Correct 198 ms 532 KB Output is correct
11 Correct 199 ms 344 KB Output is correct
12 Correct 198 ms 348 KB Output is correct
13 Correct 199 ms 596 KB Output is correct
14 Correct 199 ms 344 KB Output is correct
15 Correct 198 ms 348 KB Output is correct
16 Correct 36 ms 348 KB Output is correct
17 Correct 39 ms 344 KB Output is correct
18 Correct 37 ms 348 KB Output is correct
19 Correct 38 ms 348 KB Output is correct
20 Correct 37 ms 344 KB Output is correct
21 Runtime error 3 ms 2652 KB Execution killed with signal 6
22 Halted 0 ms 0 KB -