初学dp，资源分配实现

#include<stdio.h>
void main() {
	int n, m,i,j;
	int G[100][100], optq[100];
	printf("Please input n and m:\n");
	scanf("%d %d", &n, &m);
	for (i = 0; i < n; i++)
		G[i][0] = 0;	
	printf("Please intput the income statement:\n");
	for (i = 0; i < n; i++)
		for (j = 1; j <= m; j++)
			scanf("%d", &G[i][j]);
	printf("Show the income statement:\n");
	printf("x\t");
	for (i = 0; i <= m; i++)
		printf("%d\t", i);
	//printf("\n");
	for (i = 0; i < n; i++)
	{
		printf("G%d(x):\t", i + 1);
		for (j = 0; j <= m; j++)
			printf("%d\t", G[i][j]);
		//printf("\n");
	}
	printf("The maximum profit is:%d\n", alloc(n, m, G, optq));
	for (i = 0; i < n; i++)
		printf("The %d'st project is allocated %d resources.\n", i + 1, optq[i]);
}
int alloc(int n, int m, int G[][100], int optq[]) {
	int optx,optg, k, i, j, s;
	int q[100], d[100][100], f[100][100], g[100];
	for (i = 0; i <= m; i++) {
		f[0][i] = G[0][i];
		d[0][i] = i;
	}
	for (i = 1; i < n; i++) {
		f[i][0] = G[i][0] + f[i - 1][0];
		d[i][0] = 0;
		for (j = 1; j <= m; j++) {
			f[i][j] = f[i][0];
			d[i][j] = 0;
			for (s = 0; s <= j; s++) {
				if (f[i][j] < G[i][s] + f[i - 1][j - s]) {
					f[i][j] =G[i][s] + f[i - 1][j - s];
					d[i][j] =s;
				}
			}
		}
	}
	printf("Show the allocated statement:\n");
	printf("x\t");
	for (i = 0; i <= m; i++)
		printf("%d\t", i);
	//printf("\n");
	for (i = 0; i < n; i++)
	{
		printf("f%d(x):\t", i + 1);
		for (j = 0; j <= m; j++)
			printf("%d\t", f[i][j]);
		
		printf("d%d(x):\t", i + 1);
		for (j = 0; j <= m; j++)
			printf("%d\t", d[i][j]);
		printf("\n");
	}
	for (i = 0; i < n; i++) {
		g[i] = f[i][0];
		q[i] = 0;
		for (j = 1; j <= m; j++) {
			if (g[i] < f[i][j]) {
				g[i] = f[i][j];
				q[i] = j;
			}
		}
	}
	optg = g[0];
	optx = q[0];
	k = 0;
	for (i = 1; i < n; i++) {
		if (optg < g[i]) {
			optg = g[i];
			optx = q[i];
			k = i;
		}
	}
	if (k < n ) {
		for (i = k + 1; i < n; i++)
			optq[i] = 0;
		for (i = k; i >= 0; i--) {
			optq[i] = d[i][optx];
			//printf("optx:%d\n", optx);
			optx = optx - optq[i];
		}
	}
	return optg;
}