小扣在秋日市集选择了一家早餐摊位,一维整型数组 staple 中记录了每种主食的价格,一维整型数组 drinks 中记录了每种饮料的价格。小扣的计划选择一份主食和一款饮料,且花费不超过 x 元。请返回小扣共有多少种购买方案。
注意:答案需要以 1e9 + 7 (1000000007) 为底取模,如:计算初始结果为:1000000008,请返回 1
示例 1:
输入:staple = [10,20,5], drinks = [5,5,2], x = 15
输出:6
解释:小扣有 6 种购买方案,所选主食与所选饮料在数组中对应的下标分别是:
第 1 种方案:staple[0] + drinks[0] = 10 + 5 = 15;
第 2 种方案:staple[0] + drinks[1] = 10 + 5 = 15;
第 3 种方案:staple[0] + drinks[2] = 10 + 2 = 12;
第 4 种方案:staple[2] + drinks[0] = 5 + 5 = 10;
第 5 种方案:staple[2] + drinks[1] = 5 + 5 = 10;
第 6 种方案:staple[2] + drinks[2] = 5 + 2 = 7。
示例 2:
输入:staple = [2,1,1], drinks = [8,9,5,1], x = 9
输出:8
解释:小扣有 8 种购买方案,所选主食与所选饮料在数组中对应的下标分别是:
第 1 种方案:staple[0] + drinks[2] = 2 + 5 = 7;
第 2 种方案:staple[0] + drinks[3] = 2 + 1 = 3;
第 3 种方案:staple[1] + drinks[0] = 1 + 8 = 9;
第 4 种方案:staple[1] + drinks[2] = 1 + 5 = 6;
第 5 种方案:staple[1] + drinks[3] = 1 + 1 = 2;
第 6 种方案:staple[2] + drinks[0] = 1 + 8 = 9;
第 7 种方案:staple[2] + drinks[2] = 1 + 5 = 6;
第 8 种方案:staple[2] + drinks[3] = 1 + 1 = 2;
提示:
- 1 <= staple.length <= 10^5
- 1 <= drinks.length <= 10^5
- 1 <= staple[i],drinks[i] <= 10^5
- 1 <= x <= 2*10^5
Python 解答:
class Solution:
def breakfastNumber(self, staple: List[int], drinks: List[int], x: int) -> int:
staple.sort()
drinks.sort()
count = 0
i, j = 0, len(drinks)-1
while i < len(staple):
while j >= 0:
if staple[i]+drinks[j] > x:
j -= 1
else:
count += j+1
break
i += 1
return count%(10**9+7)
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