#include #include #include #include #include #include using namespace std; char str[500]; int seq[10]; long long _pow(int a, int b) { long long ret = 1; for (int i = 0; i < b; ++i) { ret *= a; } return ret; } int jiechen[10] = {1, 1, 2, 6, 24, 120}; void qiudao(int *rec, int k) { for (int i = k; i <= 5; ++i) { rec[i-k] = jiechen[i] / jiechen[i-k] * seq[i]; } } bool judge(int rec[], int x) { long long sum = 0; for (int i = 0; i <= 5; ++i) { sum += 1LL * rec[i] * _pow(x, i); } return sum == 0; } void gao(char ts[]) { int len = strlen(ts); int p = -1, a, b; for (int i = 0; i < len; ++i) { if (ts[i] == 'x') { if (isdigit(ts[i-1])) { ts[i] = '\0'; } else { ts[i] = '1'; } p = -2; } else if (ts[i] == '^') { ts[i] = '\0'; p = i+1; } } a = atoi(ts); if (!a && p != -1) a = 1; if (p == -1) { b = 0; } else if (p == -2) { b = 1; }else { b = atoi(ts+p); } seq[b] += a; } void solve() { vectorv; int cnt = 0; memset(seq, 0, sizeof (seq)); char ts[50], *p; p = strtok(str, "+"); while (p) { strcpy(ts, p); gao(ts); p = strtok(NULL, "+"); } for (int i = 5; i >= 0; --i) { if (seq[i] != 0) { cnt = i; break; } } for (int i = -1000; i <= 1000; ++i) { for (int j = 0; j < cnt; ++j) { int rec[10] = {0}; qiudao(rec, j); if (judge(rec, i)) { v.push_back(i); } else { break; } } } if (v.size() != cnt || seq[cnt] != 1 || cnt == 0) { printf("-1\n"); } else { sort(v.begin(), v.end()); for (int i = v.size()-1; i >= 0; --i) { if (v[i] < 0) { printf("(x+%d)", -v[i]); } else if (v[i] == 0) { printf("x"); } else { printf("(x-%d)", v[i]); } } puts(""); } } int main() { int T, ca = 0; scanf("%d", &T); while (T--) { scanf("%s", str); int len = strlen(str); for (int i = 0; i < len; ++i) { if (str[i] == '-') { for (int j = len-1; j >= i; --j) { str[j+1] = str[j]; } str[i] = '+'; len += 1; ++i; str[len] = '\0'; } } printf("Case #%d: ", ++ca); solve(); } return 0; }