C++ 程序:执行特定情况下的整数拆分
这是一个执行特定情况下整数拆分的 C++ 程序。在此程序中,提供一个正整数 n,则需要生成所有可能的唯一方式来表示 n 作为正整数的总和。
算法
Begin function displayAllUniqueParts(int m): 1) Set Index of last element k in a partition to 0 2) Initialize first partition as number itself, p[k]=m 3) Create a while loop which first prints current partition, then generates next partition. The loop stops when the current partition has all 1s. 4) Display current partition as displayArray(p, k + 1) 5) Generate next partition: 6) Initialize val = 0. Find the rightmost non-one value in p[]. Also, update the val so that we know how much value can be ccommodated. If k < 0, All the values are 1 so there are no more partitions Decrease the p[k] found above and adjust the val. 7) If val is more, then the sorted order is violated. Divide val in different values of size p[k] and copy these values at different positions after p[k]. Copy val to next position and increment position. End
示例
#include<iostream> using namespace std; void displayArray(int p[], int m) { //to print the array for (int i = 0; i < m; i++) cout << p[i] << " "; cout << endl; } void displayAllUniqueParts(int m) { int p[m]; int k = 0; p[k] = m; while (true) { displayArray(p, k + 1); int val = 0; // initialize val while (k >= 0 && p[k] == 1) { val += p[k]; // update val k--; } if (k < 0) return; p[k]--; val++; //if val is more while (val > p[k]) { p[k + 1] = p[k]; val = val - p[k]; k++; } p[k + 1] = val; k++; } } int main() { cout << "Display All Unique Partitions of integer:7\n"; displayAllUniqueParts(7); return 0; }
输出
Display All Unique Partitions of integer:7 7 6 1 5 2 5 1 1 4 3 4 2 1 4 1 1 1 3 3 1 3 2 2 3 2 1 1 3 1 1 1 1 2 2 2 1 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1
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