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Submission #675665

# Submission time Handle Problem Language Result Execution time Memory
675665 2022-12-27T17:02:45 Z a_aguilo Rack (eJOI19_rack) C++14
100 / 100
 1 ms 212 KB 
#include<bits/stdc++.h>

using namespace std;

unordered_map<long long, long long> powers;
const int MOD = 1e9+7;

long long int PowerTwo(long long int exponent){
    if(powers.find(exponent) != powers.end()) return powers[exponent];
    long long semiAns = PowerTwo(exponent/2);
    long long ans = (semiAns*semiAns)%MOD;
    if(exponent%2) {
        ans*= 2;
        ans%=MOD;
    }
    return powers[exponent] = ans;
}

long long getPos(long long int n, long long int k){
    if(k == 1) return 1;
    if(k%2){
        return getPos(n-1, k/2 +1);
    }
    else{
        long long semiAns = PowerTwo(n-1);
        long long ans = (semiAns + getPos(n-1, k/2))%MOD;
        return ans;
    }
}

int main(){
    powers[0] = 1;
    powers[1] = 2;
    powers[2] = 4;
    long long int n, k;
    cin >> n >> k;
    cout << getPos(n, k)<< endl;
    return 0;
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #3
60.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct