#include<iostream>
#include<vector>
#include<string>
using namespace std;
vector<int> GenerateFactors(long long x){
int j = 2;
vector<int> vFactors;
do{
if(x%j == 0){
vFactors = GenerateFactors(x/j);
vFactors.insert(vFactors.begin(), j);
return vFactors;
}
j++;
}while(j<(x/2));
vFactors.insert(vFactors.begin(), x);
if(vFactors.back() == 1){
vFactors.pop_back();
}
return vFactors;
}
string to5(int n){
if(n>5 || n<2)
return "";
string result = "(";
for(int i=1;i<n;++i){
result+="1+";
}
result+="1)";
return result;
}
string calc(long long n){
if(n<=5){
return to5(n);
}
vector<int> fact = GenerateFactors(n);
string result = "(";
if(fact.size() == 1){
fact = GenerateFactors(n-1);
result += "1+";
}
for(int i=0;i<fact.size()-1;i++){
if(fact[i] == 1)
continue;
result+=calc(fact[i])+"*";
}
int size = fact.size();
result+=calc(fact[size-1])+")";
return result;
}
int main(){
long long n;
int tests;
cin>>tests;
for(int test=0;test<tests;test++){
cin>>n;
if(n == 1){
cout<<"1"<<endl;
continue;
}
string result = calc(n);
int count = 0;
for(auto &znak : result){
if(znak == '1')
count ++;
}
if(count>100){
cout<<"NIE"<<endl;
}
else{
cout<<result<<endl;
}
}
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 | #include<iostream> #include<vector> #include<string> using namespace std; vector<int> GenerateFactors(long long x){ int j = 2; vector<int> vFactors; do{ if(x%j == 0){ vFactors = GenerateFactors(x/j); vFactors.insert(vFactors.begin(), j); return vFactors; } j++; }while(j<(x/2)); vFactors.insert(vFactors.begin(), x); if(vFactors.back() == 1){ vFactors.pop_back(); } return vFactors; } string to5(int n){ if(n>5 || n<2) return ""; string result = "("; for(int i=1;i<n;++i){ result+="1+"; } result+="1)"; return result; } string calc(long long n){ if(n<=5){ return to5(n); } vector<int> fact = GenerateFactors(n); string result = "("; if(fact.size() == 1){ fact = GenerateFactors(n-1); result += "1+"; } for(int i=0;i<fact.size()-1;i++){ if(fact[i] == 1) continue; result+=calc(fact[i])+"*"; } int size = fact.size(); result+=calc(fact[size-1])+")"; return result; } int main(){ long long n; int tests; cin>>tests; for(int test=0;test<tests;test++){ cin>>n; if(n == 1){ cout<<"1"<<endl; continue; } string result = calc(n); int count = 0; for(auto &znak : result){ if(znak == '1') count ++; } if(count>100){ cout<<"NIE"<<endl; } else{ cout<<result<<endl; } } return 0; } |
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