两种写法算得一样吗

二维写法取 dp[3][10]，一维写法取 dp[10]。运行下面这段程序：

def knap2d(items, cap):
    dp = [[0] * (cap + 1) for _ in range(len(items) + 1)]
    for i in range(1, len(items) + 1):
        w, v = items[i - 1]
        for c in range(cap + 1):
            dp[i][c] = dp[i - 1][c]
            if c >= w and dp[i - 1][c - w] + v > dp[i][c]:
                dp[i][c] = dp[i - 1][c - w] + v
    return dp

def knap1d(items, cap):
    dp = [0] * (cap + 1)
    for w, v in items:
        for c in range(cap, w - 1, -1):
            if dp[c - w] + v > dp[c]:
                dp[c] = dp[c - w] + v
    return dp

print(str(knap2d([(3, 8), (4, 9), (5, 11)], 10)[3][10]) + "/" + str(knap1d([(3, 8), (4, 9), (5, 11)], 10)[10]))