// Grzegorz Bukowiec
// PA 2016 - Zadanie 2B - Jedynki
#include <iostream>
#include <string>
using namespace std;
string makeNumber(int n) {
string number = "(1";
for (int i = 1; i < n; ++i) {
number += "+1";
}
number += ")";
return number;
}
void multiply(string* a, int b) {
if ((*a) != "") {
(*a) += "*";
}
(*a) += makeNumber(b);
}
int main() {
ios_base::sync_with_stdio(0);
int t, n, sum;
string expression;
cin >> t;
while (t--) {
cin >> n;
sum = 0;
expression = "";
if (n == 1) {
cout << "1" << endl;
continue;
}
for (int i = 2; i <= 100 && i <= n; ++i) {
while (n % i == 0) {
n /= i;
sum += i;
if (sum > 100) {
break;
}
multiply(&expression, i);
}
if (sum > 100) {
break;
}
}
if (sum > 100 || n > 1) {
cout << "NIE" << endl;
} else {
cout << expression << 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 | // Grzegorz Bukowiec // PA 2016 - Zadanie 2B - Jedynki #include <iostream> #include <string> using namespace std; string makeNumber(int n) { string number = "(1"; for (int i = 1; i < n; ++i) { number += "+1"; } number += ")"; return number; } void multiply(string* a, int b) { if ((*a) != "") { (*a) += "*"; } (*a) += makeNumber(b); } int main() { ios_base::sync_with_stdio(0); int t, n, sum; string expression; cin >> t; while (t--) { cin >> n; sum = 0; expression = ""; if (n == 1) { cout << "1" << endl; continue; } for (int i = 2; i <= 100 && i <= n; ++i) { while (n % i == 0) { n /= i; sum += i; if (sum > 100) { break; } multiply(&expression, i); } if (sum > 100) { break; } } if (sum > 100 || n > 1) { cout << "NIE" << endl; } else { cout << expression << endl;; } } return 0; } |
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