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int NumberOf1Between1AndN_Solution1(unsigned int n){ int number = 0; for(unsigned int i = 1; i <= n; ++ i) number += NumberOf1(i); return number;}int NumberOf1(unsigned int n){ int number = 0; while(n) { if(n % 10 == 1) number ++; n = n / 10; } return number;}
int NumberOf1Between1AndN_Solution2(int n){ if(n <= 0) return 0; char strN[50]; sprintf(strN, "%d", n); return NumberOf1(strN);}int NumberOf1(const char* strN){ if(!strN || *strN < '0' || *strN > '9' || *strN == '\0') return 0; int first = *strN - '0'; unsigned int length = static_cast(strlen(strN)); if(length == 1 && first == 0) return 0; if(length == 1 && first > 0) return 1; // 假设strN是"21345" // numFirstDigit是数字10000-19999的第一个位中1的数目 int numFirstDigit = 0; if(first > 1) numFirstDigit = PowerBase10(length - 1); else if(first == 1) numFirstDigit = atoi(strN + 1) + 1; // numOtherDigits是01346-21345除了第一位之外的数位中1的数目 int numOtherDigits = first * (length - 1) * PowerBase10(length - 2); // numRecursive是1-1345中1的数目 int numRecursive = NumberOf1(strN + 1); return numFirstDigit + numOtherDigits + numRecursive;}int PowerBase10(unsigned int n){ int result = 1; for(unsigned int i = 0; i < n; ++ i) result *= 10; return result;}