This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "perm.h"
#include <bits/stdc++.h>
using namespace std;
vector<int> buildBaseTwo(long long k)
{
int mn = 0;
vector<int> ans;
while( k > 1 )
{
if( k & 1 )
ans.push_back( mn++ ), k ^= 1;
else
ans.push_back( -1 ), k >>= 1;
}
int mx = (int)ans.size() - 1;
for(int i = 0 ; i < ans.size() ; i++)
if( ans[i] == -1 ) ans[i] = mx--;
reverse( ans.begin() , ans.end() );
return ans;
}
vector<int> buildBaseThree(long long k)
{
int mn = 0;
vector<int> ans;
while( k > 2 )
{
if( k%3 == 1 )
ans.push_back( mn++ ), k--;
else if( k%3 == 2 )
ans.insert( ans.end() , { mn , mn + 1 } ), k -= 2, mn += 2;
else
ans.insert( ans.end() , { -1 , -1 } ), k /= 3;
}
if( k == 2 )
ans.push_back( mn++ );
int mx = (int)ans.size() - 1;
for(int i = 0 ; i < ans.size() ; i++)
if( ans[i] == -1 ) ans[i + 1] = mx--, ans[i] = mx--;
reverse( ans.begin() , ans.end() );
return ans;
}
vector<int> buildBaseFive(long long k)
{
int mn = 0;
vector<int> ans;
while( k > 4 )
{
if( k%5 == 0 )
ans.insert( ans.end() , { -1 , -1 , -1 } ), k /= 5;
else if( k%5 == 1 )
ans.insert( ans.end() , { mn++ } ), k--;
else if( k%5 == 2 )
ans.insert( ans.end() , { mn , mn + 1 } ), k -= 2, mn += 2;
else if( k%5 == 3 )
ans.insert( ans.end() , { mn + 1 , mn } ), k -= 3, mn += 2;
else
ans.insert( ans.end() , { mn , mn + 2 , mn + 1 } ), k -= 4, mn += 3;
}
if( k == 2 )
ans.push_back( mn++ );
if( k == 3 )
ans.insert( ans.end() , { mn , mn + 1 } );
if( k == 4 )
ans.insert( ans.end() , { mn + 1 , mn } );
int mx = (int)ans.size() - 1;
for(int i = 0 ; i < ans.size() ; i++)
if( ans[i] == -1 ) ans[i + 1] = mx--, ans[i + 2] = mx--, ans[i] = mx--;
reverse( ans.begin() , ans.end() );
return ans;
}
vector<int> construct_permutation(long long k)
{
vector<int> bases[] = {
buildBaseTwo(k),
buildBaseThree(k),
buildBaseFive(k)
};
sort( bases , bases + 1 , [&](vector<int>& a, vector<int>& b){
return a.size() < b.size();
});
return bases[0];
}
Compilation message (stderr)
perm.cpp: In function 'std::vector<int> buildBaseTwo(long long int)':
perm.cpp:21:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
21 | for(int i = 0 ; i < ans.size() ; i++)
| ~~^~~~~~~~~~~~
perm.cpp: In function 'std::vector<int> buildBaseThree(long long int)':
perm.cpp:48:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
48 | for(int i = 0 ; i < ans.size() ; i++)
| ~~^~~~~~~~~~~~
perm.cpp: In function 'std::vector<int> buildBaseFive(long long int)':
perm.cpp:86:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
86 | for(int i = 0 ; i < ans.size() ; i++)
| ~~^~~~~~~~~~~~
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