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2020-2021:teams:looking_up_at_the_starry_sky:杭电2018_第四场_b

分类:数学,分块

题意:求 $$ C_n^0+C_n^1+\dots + C_n^m $$ 询问T(1e5)次,n,m(1e5)

题解: $$ Ans(n,m)=2Ans(n-1,m-1)+C(n-1,m) $$ 求出$\sqrt{n}$行的答案,每次询问把n减到最近的一行上,然后推出答案。

时间复杂度 $O(n\sqrt{n})$

comment: 思路比较巧妙