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HMMT 二月 2012 · 冲刺赛 · 第 35 题

HMMT February 2012 — Guts Round — Problem 35

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

[23] Let Nbe the number of distinct roots of/producttext2012 k=1(xk−1). Give lower and upper bounds LandU onN. If 0 < L≤N≤U, then your score will be/floorleftBig 23 (U/L)1.7/floorrightBig . Otherwise, your score will be 0.

解析

英文解析

  1. [ 23 ] Let N be the number of distinct roots of ( x − 1). Give lower and upper bounds L and Uk =1
    ⌊ ⌋
    on N . If 0 < L ≤ N ≤ U , then your score will be . Otherwise, your score will be 0.23