求n个骰子点数的和


public class DiceSum {

	int n = 3; // 骰子个数
	int m = 6; // 骰子的最大点数
	int[] properties = new int[m * n + 1]; // n颗骰子点数的和的次数 (用于解法1)
	int[][] properties2 = new int[2][m * n + 1]; // n颗骰子点数的和的次数 (用于解法2)
	int flag = 0; // 标记properties2取第一个数组还是第二个数组

	/***
	 * 递归解法
	 * 
	 * @param curNum
	 *            当前骰子序号
	 * @param sum
	 *            当前骰子点数综合
	 */
	public void method1(int curNum, int sum) {
		if (curNum == n) {
			for (int i = 1; i <= m; i++) {
				properties[sum + i]++;
			}
		} else {
			for (int i = 1; i <= m; i++) {
				method1(curNum + 1, sum + i);
			}
		}
	}

	/***
	 * 利用循环求解
	 */
	public void metho2() {

		for (int i = 0; i <= m; i++) {
			this.properties2[flag][i] = 1;
		}
		for (int k = 2; k <= n; k++) {
			flag = 1 - flag;
			for (int i = 0; i <= m * n; i++)
				this.properties2[flag][i] = 0;
			for (int j = k; j <= k * m; j++) {

				for (int i = 1; j - i > 0 && i <= m; i++) {
					this.properties2[flag][j] += this.properties2[1 - flag][j
							- i];
				}
			}
		}
	}

	/**
	 * @param args
	 */
	public static void main(String[] args) {
		DiceSum ds = new DiceSum();
		// ds.method1(1, 0);
		ds.metho2();
		for (int i = ds.n; i < ds.properties.length; i++) {
			System.out.print(i + " ");
		}
		System.out.println();
		for (int i = ds.n; i < ds.properties.length; i++) {
			System.out.print(ds.properties2[ds.flag][i] + " ");
		}

	}

}

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