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#424583#8748. 简单博弈ShaojiaZhangWA 43ms3864kbC++173.7kb2024-05-29 13:37:252024-05-29 13:37:25

Judging History

This is the latest submission verdict.

  • [2024-05-29 13:37:25]
  • Judged
  • Verdict: WA
  • Time: 43ms
  • Memory: 3864kb
  • [2024-05-29 13:37:25]
  • Submitted

answer

// Problem: undefined - THUPC 2024 Final J. 简单博弈
// Url: https://qoj.ac/contest/1691/problem/8748
// T/M Limit: 1000ms 1024MB
// Time: 2024-05-29 13:06:22
// Author: zjy0001

#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define rep(Ii,Jj,Kk) for(int Ii=(Jj),Ii##_=(Kk);Ii<=Ii##_;Ii++)
#define per(Ii,Jj,Kk) for(int Ii=(Jj),Ii##_=(Kk);Ii>=Ii##_;Ii--)
typedef long long ll;
typedef unsigned long long ull;
typedef unsigned uint;
typedef long double db;
#define fir first
#define sec second
#define siz(Aa) ((int)(Aa).size())
#define all(Aa) (Aa).begin(),(Aa).end()
#define ckmx(Aa,Bb) (Aa=max(Aa,Bb))
#define ckmn(Aa,Bb) (Aa=min(Aa,Bb))

const int N=11,inf=1e9;
int f[8][N+1][N+1];
inline int mex(vector<int> v){
	sort(all(v));
	v.erase(unique(all(v)),v.end());
	int x=0;
	while(x<siz(v) && v[x]==x) x++;
	return x;
}
int o(bool ty,int x){ return ty?x:inf; }
int F(int i,int j){
	if (i<j) swap(i,j);
	if (i%2==j%2) return i%2;
	return i%2+2;
}
signed main(){ios::sync_with_stdio(false),cin.tie(nullptr);
	rep(len,2,2*N) rep(i,1,N){
		int j=len-i;
		if(j<1 || j>N) continue;
		f[0][i][j]=mex({f[0][i-1][j],f[0][i][j-1],f[0][i-1][j-1]});
		f[1][i][j]=mex({
			o(i>=2				,f[1][i-1][j]),
			o(        j>=2		,f[1][i][j-1]),
			o(i>=2 && j>=2		,f[1][i-1][j-1]),
			o(        j>=2		,f[0][i-1][j]),
			o(i>=2				,f[0][i][j-1]),
			o(i>=2 || j>=2		,f[0][i-1][j-1])
		});	
		f[2][i][j]=mex({
			o(i>=2				,f[2][i-1][j]),
			o(        j>=3		,f[2][i][j-1]),
			o(i>=2 && j>=3		,f[2][i-1][j-1]),
			o(        j>=3		,f[0][i-1][j]),
			o(i>=2				,f[1][i][j-1]),
			o(i>=2 || j>=3		,f[0][i-1][j-1]),
			o(i>=2				,f[1][i-1][j-1])
		});
		f[3][i][j]=mex({
			o(i>=3				,f[3][i-1][j]),
			o(        j>=3		,f[3][i][j-1]),
			o(i>=3 && j>=3		,f[3][i-1][j-1]),
			f[1][i-1][j],
			f[1][i][j-1],
			f[1][i-1][j-1],
			f[0][i-1][j-1]
		});
		f[4][i][j]=mex({
			o(i>=2				,f[4][i-1][j]),
			o(        j>=4		,f[4][i][j-1]),
			o(i>=2 && j>=4		,f[4][i-1][j-1]),
			o(        j>=4		,f[0][i-1][j]),
			o(i>=2				,f[2][i][j-1]),
			o(i>=2 || j>=4		,f[0][i-1][j-1]),
			o(i>=2				,f[2][i-1][j-1])
		});
		f[5][i][j]=mex({
			o(i>=3				,f[5][i-1][j]),
			o(        j>=3		,f[5][i][j-1]),
			o(i>=3 && j>=3		,f[5][i-1][j-1]),
			o(        j>=3		,f[1][i-1][j]),
			f[2][i-1][j],
			o(i>=3				,f[1][i][j-1]),
			f[2][j-1][i],
			o(i>=3 || j>=3		,f[0][i-1][j-1]),
			f[1][i-1][j-1],
			o(        j>=3		,f[2][i-1][j-1]),
			o(i>=3				,f[2][j-1][i-1]),
		});
		f[6][i][j]=mex({
			o(i>=3				,f[6][i-1][j]),
			o(        j>=4		,f[6][i][j-1]),
			o(i>=3 && j>=4		,f[6][i-1][j-1]),
			f[1][i-1][j],
			f[2][i-1][j],
			f[3][i][j-1],
			f[2][i][j-1],
			f[0][i-1][j-1],
			f[1][i-1][j-1],
			f[2][i-1][j-1],
			o(i>=3				,f[3][i-1][j-1]),
		});
		f[7][i][j]=mex({
			o(i>=4				,f[7][i-1][j]),
			o(        j>=4		,f[7][i][j-1]),
			o(i>=4 && j>=4		,f[7][i-1][j-1]),
			f[3][i-1][j],
			f[3][i][j-1],
			f[1][i-1][j-1],
			f[3][i-1][j-1]
		});
	}
	int T,ans=0;cin>>T;
	while(T--){
		int n,m;cin>>n>>m;
		vector<int> ox,oy;
		rep(i,1,3){
			int x,y;cin>>x>>y;
			ox.emplace_back(x);
			oy.emplace_back(y);
		}
		if (n>10&&m>10)
		{
			ans^=F(n,m);
			continue;
		}
		if (n>m)
		{
			int d=(n-m)/2*2;
			n-=d;
		}	
		else if (m>n)
		{
			int d=(m-n)/2*2;
			m-=d;
		}
		sort(all(ox)),ox.erase(unique(all(ox)),ox.end());
		sort(all(oy)),oy.erase(unique(all(oy)),oy.end());
		int x=siz(ox),y=siz(oy);
		if(x==3 && y==3) ans^=f[7][n][m];
		else if(x==2 && y==2) ans^=f[5][n][m];
		else if(x==1 && y==3) ans^=f[4][n][m];
		else if(x==3 && y==1) ans^=f[4][m][n];
		else if(x==2 && y==3) ans^=f[6][n][m];
		else if(x==3 && y==2) ans^=f[6][m][n];
	}
	cout<<(ans?"OvO\n":"QAQ\n");
return 0;}

詳細信息

Test #1:

score: 100
Accepted
time: 43ms
memory: 3596kb

input:

100000
215 4
6 1
59 1
71 4
1 482
1 311
1 381
1 26
3 428
3 81
2 359
1 310
222 220
108 40
16 2
11 79
4 223
4 73
4 103
3 51
214 442
174 261
186 418
202 379
146 464
61 193
85 102
117 206
3 1
3 1
2 1
1 1
357 356
199 222
97 15
257 15
30 2
28 2
4 1
12 2
308 308
32 110
56 157
234 171
347 346
243 89
166 140
...

output:

OvO

result:

ok single line: 'OvO'

Test #2:

score: 0
Accepted
time: 39ms
memory: 3864kb

input:

100000
494 303
141 173
343 269
451 163
4 370
4 46
1 100
3 135
226 3
21 3
116 1
47 3
77 52
65 27
19 4
69 50
205 235
164 101
106 183
27 16
4 2
3 2
1 2
4 2
364 364
54 50
155 83
21 181
432 434
295 302
332 91
258 264
324 326
136 171
239 155
300 81
1 4
1 3
1 2
1 4
177 435
20 326
170 256
175 179
1 4
1 3
1 ...

output:

QAQ

result:

ok single line: 'QAQ'

Test #3:

score: 0
Accepted
time: 43ms
memory: 3560kb

input:

100000
91 476
28 345
28 379
20 119
4 3
4 1
1 2
4 3
117 77
33 74
92 38
102 26
2 3
2 2
1 1
1 3
443 3
252 1
305 3
106 1
410 3
156 3
380 3
135 2
222 275
135 223
181 134
53 241
106 105
100 32
92 27
44 88
140 267
112 129
129 194
133 234
3 489
2 2
3 267
2 9
1 410
1 348
1 315
1 119
101 102
71 73
44 61
56 55...

output:

OvO

result:

ok single line: 'OvO'

Test #4:

score: 0
Accepted
time: 43ms
memory: 3572kb

input:

100000
1 256
1 254
1 90
1 39
4 373
2 6
4 365
3 265
229 2
67 2
2 1
100 2
130 129
102 57
22 82
20 29
1 4
1 1
1 2
1 3
3 2
1 1
2 2
1 2
415 384
109 278
281 175
285 182
2 455
1 196
1 221
1 335
108 385
82 145
108 143
34 57
369 260
361 226
365 124
369 182
3 2
1 1
3 2
1 2
13 3
12 3
3 3
2 1
4 2
3 2
3 1
2 2
40...

output:

QAQ

result:

ok single line: 'QAQ'

Test #5:

score: 0
Accepted
time: 43ms
memory: 3572kb

input:

100000
446 178
5 66
276 167
380 142
4 156
1 148
1 2
4 94
58 309
8 288
19 215
51 258
3 4
1 2
3 3
2 1
297 4
221 2
290 2
65 3
130 4
20 3
40 1
56 1
226 383
105 140
178 189
209 5
4 1
3 1
4 1
2 1
182 493
12 215
56 189
50 34
102 1
95 1
89 1
48 1
305 145
237 61
6 55
300 117
383 468
175 318
359 112
204 196
3...

output:

OvO

result:

ok single line: 'OvO'

Test #6:

score: -100
Wrong Answer
time: 38ms
memory: 3508kb

input:

100000
281 285
167 24
190 98
212 189
310 1
134 1
140 1
123 1
92 90
50 28
23 52
42 41
171 1
54 1
114 1
10 1
3 1
1 1
2 1
3 1
483 272
114 80
284 209
399 180
4 4
3 4
3 1
1 3
240 19
117 14
166 13
231 11
445 55
172 24
238 2
249 3
283 2
217 1
74 2
87 2
314 343
231 322
302 226
310 68
260 323
231 82
233 193
...

output:

OvO

result:

wrong answer 1st lines differ - expected: 'QAQ', found: 'OvO'