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2020-2021:teams:mian:hdu_training:2016_multi-university_training_contest_1 [CVBB ACM Team]

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2020-2021:teams:mian:hdu_training:2016_multi-university_training_contest_1

2016 Multi-University Training Contest 1

Results

Summary

  • Solved 6 out of 11 problems
  • Rank 27/532 in official records
  • Solved 6 out of 11 afterwards

Virtual Participation

# = Penalty A B C D E F G H I J K
33 6 1223 20:23:41 00:43:29
(-1)
04:32:18
(-3)
(-1) 02:03:26
(-1)
02:34:44
(-4)
04:28:51
03:00:53

Submit Distribution in Members

Solved A B C D E F G H I J K
Pantw
Withinlover
Gary

(√ for solved during VP, ○ for after VP, - for tried but not solved)


Solutions

A: Abandoned country

  • Solved by Pantw

题意

给一个边权两两不同的无向图。求最小生成树,以及最小生成树中使得所有点对最短路平均值的最小值。

$n\le 10^5, m\le 10^6$。

解法

由于边权不同我们可以直接知道最小生成树是唯一的,那么求出来之后 DP 一下即可。

B: Chess

  • Idea by Pantw, Withinlover, Gary
  • Debug by Pantw, Withinlover, Gary
  • Code by Pantw

题意

$n\times 20$ 的棋盘,有若干相同的棋子,每个格子上至多有一个棋子,移动方式是:

  • 若一个棋子右边是空格子,那么它可以移动到该格子;
  • 若一个棋子隔着连续的一堆棋子,那么它可以跳过这些棋子,达到右边的第一个空格。
  • 棋子不能超出右边界。

给定初始状态,问先手必胜还是先手必败。

解法

由于 $20\times 2^{20}$ 不大,可以直接预处理出 SG 函数值。

然后就是经典的 Nim 游戏了。

C: Game

题意

解法

D: GCD

题意

解法

E: Necklace

题意

解法

F: PowMod

题意

解法

G: Rigid Frameworks

题意

解法

H: Shell Necklace

题意

解法

I: Solid Dominoes Tilings

题意

解法

J: Subway

题意

解法

K: tetrahedron

题意

解法


Timeline

Time Action
0 Start
300 End

Reflections

2020-2021/teams/mian/hdu_training/2016_multi-university_training_contest_1.1590328901.txt.gz · 最后更改: 2020/05/24 22:01 由 withinlover