#include <iostream> #define MAX_SUM 1458 #define MAX_NUM 1000000000000000000LL using namespace std; long long getLowerLimit(long long k, long long a) { long long ret; if(a == 0) return 0; else if(k >= a) return k; else if(a > MAX_NUM - (k - (a % k))) return MAX_NUM + 1; else return a + (k - (a % k)); } long long getUpperLimit(long long k, long long b) { long long ret; if(k > MAX_NUM / 1500) return b; ret = 1500 * k; if(ret < b) return ret; return b; } int getSquaresSum(long long n) { int ret = 0; while(n > 0) { int temp = n % 10; temp *= temp; ret += temp; n /= 10; } return ret; } bool isEquationValid(long long n, long long k) { int sumSquares = getSquaresSum(n); if(k > MAX_NUM / sumSquares) return false; return (k * sumSquares == n); } int main() { long long a, b, k; cin >> k; cin >> a; cin >> b; long long lowLimit = getLowerLimit(k, a); long long highLimit = getUpperLimit(k, b); long long ret = 0; for(long long i = lowLimit; i<=highLimit; i+=k) { if(isEquationValid(i, k)) ret++; } cout << ret << 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 | #include <iostream> #define MAX_SUM 1458 #define MAX_NUM 1000000000000000000LL using namespace std; long long getLowerLimit(long long k, long long a) { long long ret; if(a == 0) return 0; else if(k >= a) return k; else if(a > MAX_NUM - (k - (a % k))) return MAX_NUM + 1; else return a + (k - (a % k)); } long long getUpperLimit(long long k, long long b) { long long ret; if(k > MAX_NUM / 1500) return b; ret = 1500 * k; if(ret < b) return ret; return b; } int getSquaresSum(long long n) { int ret = 0; while(n > 0) { int temp = n % 10; temp *= temp; ret += temp; n /= 10; } return ret; } bool isEquationValid(long long n, long long k) { int sumSquares = getSquaresSum(n); if(k > MAX_NUM / sumSquares) return false; return (k * sumSquares == n); } int main() { long long a, b, k; cin >> k; cin >> a; cin >> b; long long lowLimit = getLowerLimit(k, a); long long highLimit = getUpperLimit(k, b); long long ret = 0; for(long long i = lowLimit; i<=highLimit; i+=k) { if(isEquationValid(i, k)) ret++; } cout << ret << endl; return 0; } |