[UOJ 282]长度测量鸡
Description
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" 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Input
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Output
aaarticlea/png;base64,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" alt="" />
Sample Input
2
1
100
Sample Output
HINT
aaarticlea/png;base64,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" alt="" />
题解
我们需要题目描述中的$s_j−s_i(0≤i<j≤n)$这$n(n+1) \over 2$个数取到$n(n+1) \over 2$的所有整数,所以每个整数只能取一次,即每种长度只能被一种方法量出。特别地,$s_i−s_{i−1}(1≤i≤n)$这$n$段长度两两不同,故只能是$1,2,…,n$的一种排列。
事实上,$n=1,2,3$时可以直接试出刻度方案,分别为∅,{1},{1,4}而对所有$n>3$都不存在满足要求的刻度。证明如下:
记$M$=$n(n+1) \over 2$,则对$n>3$,$M≥10$。现假设存在满足要求的刻度方案。由于需要量出$M−1$的长度,所以$1$或$M−1$处必须有刻度,由对称性不妨设$1$处有。要量出$M−2$的长度,$2$,$M−2$,$M−1$中需要有一处有刻度,而如果$2$或$M−1$处有刻度,则可以用两种方法量出长度$1$,矛盾!所以$M−2$处必须有刻度。此时由$(M−2)−1=M−3$,$M−3$的长度已经可以被量出。要量出$M−4$的长度,$2$,$4$,$M−3$,$M−4$四处必有一处有刻度。容易发现只有$4$处的刻度不会引起重复。
现在已经知道$1$,$4$,$M−2$处都需要有刻度,而长度$M−5$尚未被量出。欲量出$M−5$,需要 $3$,$5$,$M−5$,$M−4$,$M−1$中的一处有刻度。然而它们都会导致$1$,$2$,$3$中的某个长度能被两种方法量出,矛盾!故不存在满足要求的刻度。
所以只需判断$n$是否大于$3$。时间复杂度$O(1)$。
#include<set>
#include<map>
#include<ctime>
#include<cmath>
#include<queue>
#include<stack>
#include<cstdio>
#include<string>
#include<vector>
#include<cstring>
#include<cstdlib>
#include<iostream>
#include<algorithm>
#define LL long long
#define RE register
#define IL inline
using namespace std; int t,n; int main()
{
scanf("%d",&t);
while (t--) {scanf("%d\n",&n);printf(n> ? "-1\n":"1\n");}
return ;
}
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