If hard to say that this is a game problem, then this game is unfair game (Partizan games), because the two sides face the same situation to make the decision is not the same.
We usually do games are fair game (impartial games), so in this problem, those who win will be defeated, the SG function of the SG theorem is not useful.
However, this problem can be greedy.
For example, the first pattern was safe and stable for Alice, because Bob would not go with him, so Alice could save the last place. In the same way, Bob can save the 2nd pattern to the end of the release.
For example, the 15th pattern, if the first to occupy the words will be very cost-effective, because if one side accounted for, not only the other side can not put, he will be more a stable bit.
For more detailed analysis see this: http://www.cnblogs.com/staginner/archive/2011/09/10/2173317.html
I find that everyone's thinking is based on this.
1#include <cstdio>2 3 inta[ -];4 5 intMain ()6 {7 //freopen ("In.txt", "R", stdin);8 9 intT scanf"%d", &T);Ten for(intKase =1; Kase <= T; ++Kase) One { A for(inti =1; I <= the; i++) scanf ("%d", &a[i]); - intnow =0, A = a[1] *2, B = a[2] *2; - if(a[ the] %2!=0) {a++; now =1; } the intTA = a[5] + a[6], TB = a[3] + a[4]; - if(Ta > TB)//Alice Rob 5,6, Bob Rob 3,4 - { -Ta-=TB; + if(Ta%2!=0) - { + if(now = =0) A + = ta/2+1; A ElseA + = TA/2; atnow =1-Now ; - } - ElseA + = TA/2; - } - Else if(Ta <TB) - { inTB-=ta; - if(TB%2!=0) to { + if(now = =0) B + = TB/2; - ElseB + = TB2+1; thenow =1-Now ; * } $ ElseB + = TB/2;Panax Notoginseng } - //two people divide 11,12,13,14 the intt = a[ One] + a[ A] + a[ -] + a[ -]; + if(t%2!=0) now =1-Now ; A //Alice Rob 7,8, Bob Rob 9,10 theTA = a[7] + a[8]; TB = a[9] + a[Ten]; + if(Ta <TB) - { $TB-=ta; $ if(TB%2!=0) - { - if(now = =0) B + = TB2+1; the ElseB + = TB/2; -now =1-Now ;Wuyi } the ElseB + = TB/2; - } Wu Else if(Ta >TB) - { AboutTa-=TB; $ if(Ta%2!=0) - { - if(now = =0) A + = TA/2; - ElseA + = ta/2+1; Anow =1-Now ; + } the ElseA + = TA/2; - } $ the BOOLwin; the if(now = =0) win = B >= A?false:true; the ElseWin = A >= B?true:false; theprintf"Case #%d:%s\n", Kase, Win?"Alice":"Bob"); - } in the return 0; the}
code June
HDU 4023 (game greedy simulation) game