Zju 1893 A multiplication Game "Simple games"

There are many games on the Zju.

This topic is still relatively good understanding, the title probably means: Two people take a number of 2-9 in turn, from 1 to multiply, ask who's product first greater than N.

Still looking for a must-win point, but in this topic into the search for the winning interval of the problem

Take the input 1000 as an example, we can come backwards, everyone except 2 to 9 a number

1000 | 999 ...    112 | If you occupy 999 to 112, your opponent will win. The opponent must occupy the segment.

1000 | 999 ... 112 | 111 ...   56 | So the required segment is 111-?. If the 56 is occupied by the opponent, then the 56x2=112, into the inevitable section. The problem turned out to be accounted for 56.

So loop. Below 1000 | 999 ... 112 | 111 ... 56 | 55 ... 9 2 6 ... 4 | 3 ... 1

|   Winning Zone |     Fail Interval |     Win |    Defeat | Wins

In this way, the idea is already very obvious.

Source Code:

//#pragma COMMENT (linker, "/stack:16777216")//For C + + Compiler#include <stdio.h>#include<iostream>#include<fstream>#include<cstring>#include<cmath>#include<stack>#include<string>#include<map>#include<Set>#include<list>#include<queue>#include<vector>#include<algorithm>#defineMax (b) ((a) > (b))? (a): (b))#defineMin (b) ((a) < (a))? (a): (b))#defineAbs (x) (((x) > 0)? (x): (-(x)))#defineMOD 1000000007#definePi ACOs (-1.0)using namespaceStd;typedefLong Longll; typedef unsignedLong Longull; typedef unsignedint        UINT; typedef unsignedCharUchar; template<classT> InlinevoidCheckmin (T &a,t b) {if(a>b) a=b;} Template<classT> InlinevoidCheckmax (T &a,t b) {if(a<b) a=b;}Const DoubleEPS = 1e-7      ;Const intN =1              ;Const intM =200022         ;Constll P =10000000097ll;Const intINF =0x3f3f3f3f   ;intMain () {intI, J, T, N, M, K;  while(Cin >>N) {        BOOLFlag =true;  while(N >1){            if(flag) {if(n%9==0) n/=9; Elsen = n/9+1; } Else{                if(n%2==0) n/=2; Elsen = n/2+1; } Flag=!Flag; }        if(!flag) cout<<"Stan wins."<<Endl; Elsecout<<"Ollie wins."<<Endl; }    return 0;}

Zju 1893 A multiplication Game "Simple games"