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#424571#8748. 简单博弈ShaojiaZhangAC ✓117ms11728kbC++173.6kb2024-05-29 13:16:552024-05-29 13:16:56

Judging History

This is the latest submission verdict.

  • [2024-05-29 13:16:56]
  • Judged
  • Verdict: AC
  • Time: 117ms
  • Memory: 11728kb
  • [2024-05-29 13:16:55]
  • 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=501,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; }
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;
		if (n>10&&m>10)
		{
			if (n>m)
			{
				int d=(n-m)/2*2;
				n-=d;
			}	
			else if (m>n)
			{
				int d=(m-n)/2*2;
				m-=d;
			}
		}
		vector<int> ox,oy;
		rep(i,1,3){
			int x,y;cin>>x>>y;
			ox.emplace_back(x);
			oy.emplace_back(y);
		}
		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;}

详细

Test #1:

score: 100
Accepted
time: 113ms
memory: 11496kb

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: 104ms
memory: 11496kb

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: 111ms
memory: 11504kb

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: 113ms
memory: 11468kb

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: 111ms
memory: 11492kb

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: 0
Accepted
time: 115ms
memory: 11688kb

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:

QAQ

result:

ok single line: 'QAQ'

Test #7:

score: 0
Accepted
time: 108ms
memory: 11652kb

input:

100000
2 433
1 289
2 338
2 143
19 18
14 17
12 12
2 6
4 125
1 78
1 105
1 10
397 21
76 21
62 1
71 11
1 4
1 3
1 2
1 4
4 4
3 4
2 3
4 1
3 2
2 1
1 1
1 2
76 79
25 49
55 62
68 29
455 455
40 19
170 5
245 187
18 390
16 41
18 178
18 241
4 2
1 1
1 2
3 1
3 473
1 41
2 127
1 196
351 3
112 3
201 3
149 2
3 258
3 210...

output:

OvO

result:

ok single line: 'OvO'

Test #8:

score: 0
Accepted
time: 114ms
memory: 11444kb

input:

100000
235 235
86 155
200 12
84 226
349 462
284 345
342 81
344 386
336 170
249 47
283 136
295 20
318 158
5 28
189 19
111 77
124 486
59 227
90 161
106 184
447 207
446 103
136 77
5 85
209 210
158 105
34 160
80 146
103 355
91 187
95 207
99 137
221 3
194 1
147 1
68 3
204 50
36 13
197 12
202 8
3 2
3 2
3 ...

output:

QAQ

result:

ok single line: 'QAQ'

Test #9:

score: 0
Accepted
time: 108ms
memory: 11436kb

input:

100000
16 241
14 137
8 33
5 97
351 301
23 121
143 19
329 20
2 4
2 1
2 2
1 2
325 182
160 152
297 106
241 98
3 255
3 200
1 131
3 93
3 2
2 1
1 1
3 2
4 1
1 1
4 1
3 1
311 88
152 32
157 81
251 13
232 234
92 35
229 64
32 17
1 3
1 3
1 1
1 2
338 467
33 142
31 435
194 166
161 425
154 150
2 374
74 112
132 132
...

output:

OvO

result:

ok single line: 'OvO'

Test #10:

score: 0
Accepted
time: 106ms
memory: 11728kb

input:

100000
3 2
3 2
2 2
2 1
276 4
46 2
152 2
60 2
3 2
3 1
1 2
3 2
106 105
13 62
71 14
71 57
182 369
86 110
92 205
45 60
305 4
305 1
22 2
290 2
2 296
1 47
1 292
1 285
72 1
35 1
52 1
43 1
321 4
166 3
319 4
112 1
1 82
1 82
1 41
1 49
129 206
34 107
91 78
97 183
2 2
2 2
1 1
2 1
319 402
179 128
251 194
302 202...

output:

QAQ

result:

ok single line: 'QAQ'

Test #11:

score: 0
Accepted
time: 108ms
memory: 11492kb

input:

100000
288 287
230 175
194 262
41 63
319 465
5 393
213 412
305 317
2 327
2 113
2 149
1 69
309 421
207 364
220 56
293 392
160 20
109 9
152 9
154 11
64 66
38 14
21 26
29 42
336 393
7 287
154 343
317 222
231 4
94 1
177 2
53 3
2 4
1 1
2 2
1 4
237 235
115 151
57 88
64 47
3 432
2 44
2 398
2 404
59 29
1 9
...

output:

OvO

result:

ok single line: 'OvO'

Test #12:

score: 0
Accepted
time: 112ms
memory: 11444kb

input:

100000
269 123
178 66
117 84
17 9
3 40
3 25
2 32
3 15
2 140
2 45
1 66
2 59
243 178
66 58
45 77
110 91
147 1
56 1
48 1
137 1
72 165
29 99
67 145
10 5
2 2
1 1
1 2
2 1
4 91
2 9
1 81
2 23
484 2
417 1
416 2
55 2
70 69
63 40
65 56
57 22
83 202
16 27
22 139
43 102
196 2
43 1
23 2
31 1
467 8
447 4
21 5
266 ...

output:

QAQ

result:

ok single line: 'QAQ'

Test #13:

score: 0
Accepted
time: 115ms
memory: 11496kb

input:

100000
3 209
3 95
1 27
3 125
264 450
260 265
263 169
264 371
3 106
1 41
2 98
3 8
2 500
2 76
2 336
2 145
1 193
1 54
1 187
1 2
2 4
2 1
1 4
1 1
171 415
54 87
67 66
163 340
4 3
2 2
2 3
2 1
39 72
14 11
11 25
39 55
1 3
1 2
1 3
1 1
7 1
5 1
1 1
4 1
165 1
101 1
157 1
9 1
245 2
210 1
163 2
40 1
380 497
259 31...

output:

OvO

result:

ok single line: 'OvO'

Test #14:

score: 0
Accepted
time: 111ms
memory: 11528kb

input:

100000
72 496
72 285
72 401
72 477
1 31
1 15
1 13
1 1
349 4
331 4
219 2
38 3
2 4
2 2
2 3
1 2
123 123
48 63
115 34
71 72
351 303
114 52
302 180
339 146
449 480
439 176
447 443
449 338
2 284
1 111
2 248
2 103
184 355
159 50
169 206
180 282
3 292
1 199
3 97
2 266
117 4
38 4
24 3
50 3
31 3
5 2
9 1
10 2
...

output:

QAQ

result:

ok single line: 'QAQ'

Test #15:

score: 0
Accepted
time: 106ms
memory: 11692kb

input:

100000
315 3
107 3
306 2
171 2
2 2
2 1
2 2
1 2
1 373
1 234
1 178
1 360
4 38
3 9
3 8
3 1
12 485
8 87
8 474
10 479
3 263
2 231
2 34
3 253
2 446
1 195
2 102
1 408
92 285
27 79
30 125
92 17
55 4
26 1
34 4
40 2
3 286
2 20
1 163
2 132
67 295
63 101
64 265
65 104
316 318
82 5
37 304
258 223
2 197
1 38
2 46...

output:

OvO

result:

ok single line: 'OvO'

Test #16:

score: 0
Accepted
time: 106ms
memory: 11436kb

input:

100000
378 4
124 4
239 3
14 2
54 52
15 2
50 21
23 8
275 275
36 186
272 191
180 175
217 309
164 6
173 301
200 189
69 1
23 1
65 1
32 1
4 3
1 2
3 2
3 1
271 271
252 3
54 16
124 5
184 2
162 1
56 1
74 1
94 3
50 2
33 1
16 1
176 4
11 4
12 1
7 3
358 414
2 320
40 129
317 289
102 333
30 209
38 200
46 219
290 2...

output:

QAQ

result:

ok single line: 'QAQ'

Test #17:

score: 0
Accepted
time: 105ms
memory: 11500kb

input:

100000
1 3
1 2
1 1
1 3
15 17
12 17
6 9
2 7
474 473
240 285
451 273
248 51
414 1
178 1
10 1
167 1
100 2
1 2
56 2
28 1
2 343
2 276
1 136
2 98
2 332
2 148
1 80
1 45
1 4
1 4
1 2
1 1
280 4
13 1
50 2
260 2
254 29
78 27
209 3
10 24
261 3
219 2
64 2
21 1
4 4
3 2
2 1
2 4
3 3
2 3
1 2
1 1
138 387
69 337
11 223...

output:

OvO

result:

ok single line: 'OvO'

Test #18:

score: 0
Accepted
time: 104ms
memory: 11440kb

input:

100000
3 129
1 63
3 118
3 18
39 2
34 2
36 2
23 2
1 192
1 15
1 161
1 97
64 62
62 60
62 13
61 2
408 2
150 2
260 2
210 2
395 393
299 87
388 208
76 256
3 4
2 4
1 1
1 4
1 432
1 33
1 72
1 119
4 1
4 1
1 1
2 1
294 3
24 3
133 1
222 2
135 441
16 180
96 121
98 121
269 146
228 94
60 103
147 146
468 3
332 1
419 ...

output:

QAQ

result:

ok single line: 'QAQ'

Test #19:

score: 0
Accepted
time: 117ms
memory: 11436kb

input:

100000
398 397
216 140
299 394
152 336
3 498
3 248
3 276
3 23
35 398
7 173
34 370
9 121
450 496
214 182
221 336
400 234
427 2
192 1
287 1
271 1
483 296
257 29
422 44
474 233
3 1
3 1
2 1
1 1
355 355
21 18
237 195
134 330
380 458
35 18
1 17
159 443
2 120
1 12
2 73
1 20
79 311
33 308
52 201
73 58
3 1
2...

output:

OvO

result:

ok single line: 'OvO'

Test #20:

score: 0
Accepted
time: 106ms
memory: 11432kb

input:

100000
472 470
21 286
207 110
374 189
4 88
1 72
2 35
2 58
186 338
95 164
186 5
186 168
132 489
33 1
77 256
87 3
4 2
1 2
4 2
3 2
455 301
208 125
207 93
386 250
319 31
170 30
78 11
149 18
4 4
3 3
1 2
3 4
2 479
2 204
1 61
1 150
3 1
3 1
1 1
2 1
4 271
2 137
4 111
3 117
2 3
1 3
1 1
2 3
362 473
324 234
328...

output:

QAQ

result:

ok single line: 'QAQ'