#include <cstdio>
#include <iostream>
#include <cmath>
#include <string>
#include <vector>
#include <algorithm>
#include <map>
using namespace std;
//111011100110101100101000000000
map<long, string> cache;
bool isCached(long k) {
map<long, string>::iterator it = cache.find(k);
return (it != cache.end());
}
string solve(long k) {
if (k == 1) {
return "1";
} else if (k == 2) {
return "(1+1)";
} else if (k == 3) {
return "(1+1+1)";
} else if (k == 4) {
return "(1+1+1+1)";
} else if (k == 5) {
return "(1+1+1+1+1)";
} else if (k == 6) {
return "(1+1)*(1+1+1)";
}
if (isCached(k)) {
return cache[k];
}
long r = floor(sqrt(k));
for (int i = 2; i <= r; i++) {
if (k % i == 0) {
string result = solve(i) + "*" + solve(k / i);
cache[k] = result;
return result;
}
}
string result = "(1+" + solve(k - 1) + ")";
cache[k] = result;
return result;
}
int main() {
long t;
scanf("%ld\n", &t);
for (int i = 0; i < t; i++) {
long k;
scanf("%ld\n", &k);
string r = solve(k);
size_t n = count(r.begin(), r.end(), '1');
if (n > 100) {
printf("NIE\n");
} else {
// printf("result: %ld, %lu, %s\n", k, n, r.c_str());
printf("%s\n", r.c_str());
}
}
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 | #include <cstdio> #include <iostream> #include <cmath> #include <string> #include <vector> #include <algorithm> #include <map> using namespace std; //111011100110101100101000000000 map<long, string> cache; bool isCached(long k) { map<long, string>::iterator it = cache.find(k); return (it != cache.end()); } string solve(long k) { if (k == 1) { return "1"; } else if (k == 2) { return "(1+1)"; } else if (k == 3) { return "(1+1+1)"; } else if (k == 4) { return "(1+1+1+1)"; } else if (k == 5) { return "(1+1+1+1+1)"; } else if (k == 6) { return "(1+1)*(1+1+1)"; } if (isCached(k)) { return cache[k]; } long r = floor(sqrt(k)); for (int i = 2; i <= r; i++) { if (k % i == 0) { string result = solve(i) + "*" + solve(k / i); cache[k] = result; return result; } } string result = "(1+" + solve(k - 1) + ")"; cache[k] = result; return result; } int main() { long t; scanf("%ld\n", &t); for (int i = 0; i < t; i++) { long k; scanf("%ld\n", &k); string r = solve(k); size_t n = count(r.begin(), r.end(), '1'); if (n > 100) { printf("NIE\n"); } else { // printf("result: %ld, %lu, %s\n", k, n, r.c_str()); printf("%s\n", r.c_str()); } } return 0; } |
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