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Submission #169191

# Submission time Handle Problem Language Result Execution time Memory
169191 2019-12-18T20:02:55 Z DavidDamian Gondola (IOI14_gondola) C++11
75 / 100
 61 ms 4724 KB 
#include "gondola.h"
#include<vector>
#include<iostream>
#include<algorithm>
#include<map>
using namespace std;
///Permutations
///Binary Exponentiation
///Determine wheather a sequence is a gondola sequence, a possible replacement sequence and the number of replacement sequences
map<int,int> used;
int valid(int n, int inputSeq[])
{
    int corresponding=1;
    int id_less_n=0;
    for(int i=0;i<n;i++){
        if(inputSeq[i]<=n){
            id_less_n=i;
            corresponding=inputSeq[i];
            break;
        }
    }
    for(int i=id_less_n;i<n+id_less_n;i++){
        if(used[ inputSeq[i%n] ]) return 0;
        used[ inputSeq[i%n] ]=1;
        if(inputSeq[i%n]>n){
            corresponding=(corresponding%n)+1;
            continue;
        }
        if(inputSeq[i%n]!=corresponding){
            return 0;
        }
        corresponding=(corresponding%n)+1;
    }
    return 1;
}

typedef pair<int,int> pii;
//First is equal to the actual gondola
//Second is equal to the original gondola
bool byActual(pii a,pii b)
{
    return a.first<b.first;
}
vector<pii> broken;
void getBrokenGondolas(int n,int gondolaSeq[]) ///Return a vector with broken gondolas in in increasing order
{
    int corresponding=1;
    int id_less_n=0;
    for(int i=0;i<n;i++){
        if(gondolaSeq[i]<=n){
            id_less_n=i;
            corresponding=gondolaSeq[i];
            break;
        }
    }
    for(int i=id_less_n;i<n+id_less_n;i++){
        if(gondolaSeq[i%n]>n) broken.push_back(pii(gondolaSeq[i%n],corresponding));
        corresponding=(corresponding%n)+1;
    }
    sort(broken.begin(),broken.end(),byActual);
}
int replacement(int n, int gondolaSeq[], int replacementSeq[])
{
    getBrokenGondolas(n,gondolaSeq);
    int L=0;
    int act=n+1;
    for(pii x: broken){
        replacementSeq[L++]=x.second; //We add the original
        while(act<x.first){
            replacementSeq[L++]=act++; //Adds the intermediate gondolas
        }
        act++; //We update act since it is equal to the number of replaced gondola
    }
    return L;
}
typedef long long int ll;
ll mod=1000000009;
ll exponentiation(ll x,ll e)
{
    if(e==0) return (ll)1;
    if(e==1) return x;
    ll product=exponentiation(x,e/(ll)2);
    product=(product*product)%mod;
    if(e%2==1) product=(product*x)%mod;
    return product;
}
int countReplacement(int n, int inputSeq[])
{
    if(!valid(n,inputSeq)) return 0;
    ll total=1;
    getBrokenGondolas(n,inputSeq);
    ll act=n+1;
    ll N=broken.size();
    for(ll i=0;i<N;i++){
        ll x=broken[i].first;
        ll k=(ll)x-(ll)act; //This is the number of numbers that have N-i choices
        total=(total*exponentiation((ll)(N-i),k))%mod; //So we compute permutation with repetitions, of choices ((N-i)^k)
        act=x+1;
    }
    return total;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 19 ms 2168 KB Output is correct
7 Correct 13 ms 632 KB Output is correct
8 Correct 33 ms 3960 KB Output is correct
9 Correct 12 ms 1528 KB Output is correct
10 Correct 46 ms 4600 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 20 ms 2296 KB Output is correct
7 Correct 13 ms 632 KB Output is correct
8 Correct 34 ms 3932 KB Output is correct
9 Correct 12 ms 1528 KB Output is correct
10 Correct 46 ms 4572 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 7 ms 504 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 13 ms 632 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 252 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 380 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 380 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 380 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 12 ms 632 KB Output is correct
12 Correct 13 ms 632 KB Output is correct
13 Correct 17 ms 1524 KB Output is correct
14 Correct 12 ms 660 KB Output is correct
15 Correct 23 ms 2420 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 256 KB Output is correct
8 Correct 2 ms 256 KB Output is correct

Subtask #9
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 61 ms 4724 KB Output is correct
10 Correct 47 ms 4088 KB Output is correct
11 Correct 19 ms 1784 KB Output is correct
12 Correct 23 ms 2168 KB Output is correct
13 Incorrect 6 ms 888 KB Output isn't correct

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 59 ms 4724 KB Output is correct
10 Correct 47 ms 4088 KB Output is correct
11 Correct 19 ms 1784 KB Output is correct
12 Correct 22 ms 2168 KB Output is correct
13 Incorrect 6 ms 760 KB Output isn't correct
14 Halted 0 ms 0 KB -