QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#115321#6329. Colorful Graphxaphoenix#WA 1027ms10908kbC++143.8kb2023-06-25 17:06:552023-06-25 17:06:55

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-06-25 17:06:55]
  • 评测
  • 测评结果:WA
  • 用时:1027ms
  • 内存:10908kb
  • [2023-06-25 17:06:55]
  • 提交

answer

#include<bits/stdc++.h>

using namespace std;

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define pf push_front
#define LC k<<1
#define RC k<<1|1
#define IO cin.sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define all(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())
#define rep(i,a,n) for (int i = a; i < n; i++)
#define repn(i,a,n) for (int i = a; i <= n; i++)
#define per(i,a,n) for (int i = (n) - 1; i >= a; i--)
#define pern(i,a,n) for (int i = n; i >= a; i--)

typedef long long LL;
typedef long double LD;
typedef unsigned long long ull;
typedef pair<int, int> PII;
typedef pair<int, LL> PIL;
typedef pair<LL, int> PLI;
typedef pair<double, double> PDD;
typedef pair<ull, ull> PUU;
typedef pair<LL, LL> PLL;

const int N = 21000;
const int M = 510000;
const int mod = 1e9+7;
const int inf = (int)1e9;
const LL INF = 1e18;
const double eps = 1e-9;

mt19937_64 Rand((unsigned long long)new char);
#define rand Rand

int n, m;
int dfn[N], low[N], instack[N], scc[N], cnt, scc_cnt;
stack<int> st;
vector<int> g[N];
void tarjan(int x) {
	dfn[x] = low[x] = ++cnt;
	st.push(x);
	instack[x] = 1;
	for (auto y: g[x]) {
		if (dfn[y] == 0) {
			tarjan(y);
			low[x] = min(low[x], low[y]);
		}
		else if (instack[y]) low[x] = min(low[x], dfn[y]);
	}
	if (low[x]==dfn[x]) {
		++scc_cnt;
		while (!st.empty() && st.top() != x) {
			scc[st.top()] = scc_cnt;
			instack[st.top()] = 0;
			st.pop();
		}
		st.pop();
		scc[x] = scc_cnt;
		instack[x] = 0;
	}
}

int fa[N], col[N];
int ans[N], que[N], tail, tot;
int find(int x) {
	return fa[x] == x? x: fa[x] = find(fa[x]);
}
struct MCMF {
	// bfs, dinic
	// st must be the lowest index, ed must be the highest index
	int e[M], f[M], pre[M], last[N];
	int d[N], now[N];
	int num, st, ed, maxflow;
	queue<int> q;
	int left, right;
	void init() {
		num = 1;
		repn(i, st, ed) last[i] = 0;
		maxflow = 0;
	}
	void insert(int x, int y, int z) {
		e[++num] = y, f[num] = z, pre[num] = last[x], last[x] = num;
		e[++num] = x, f[num] = 0, pre[num] = last[y], last[y] = num;
	}
	bool bfs() {
	    memset(d, -1, sizeof(d));
	    d[st] = 0;
		q.push(st);
	    while(!q.empty()) {
	        int now = q.front();
	        for (int i = last[now]; i; i = pre[i]) if (f[i] && d[e[i]] == -1) {
	                d[e[i]] = d[now] + 1;
	                q.push(e[i]); 
	            }
	        q.pop();
	    }
	    if (d[ed] == -1) return 0;
		return 1;
	}
	int dfs(int x, int incf) {
	    if (x == ed) return incf;
	    int flow = 0, w;
	    for (int i = now[x]; i; i = pre[i]) if (f[i] && d[e[i]] == d[x] + 1) {
				w = dfs(e[i], min(incf - flow, f[i]));
	            f[i] -= w, f[i ^ 1] += w; flow += w;
	            if (f[i]) now[x] = i;
				if (flow == incf) {
					if (x == st) left = (e[i] + 1) / 2;
					if (e[i] == ed) right = (x + 1) / 2;
					return incf;
				}
	        }
	    if (!flow) d[x] = -1;
	    return flow;
	}
	void run() {
		while(bfs()) {
			repn(i, st, ed) now[i] = last[i];
			maxflow += dfs(st, 1);
			int fx = find(left), fy = find(right);
			fa[fx] = fy;
		}
	}
		
}solver;
int main() {
	IO;
	cin >> n >> m;
	repn(i, 1, m) {
		int x, y;
		cin >> x >> y;
		g[x].pb(y);
	}
	repn(i, 1, n) if (dfn[i] == 0) tarjan(i);
	solver.st = 0, solver.ed = scc_cnt * 2 + 1;
	solver.init();
	repn(i, 1, scc_cnt) {
		solver.insert(0, i * 2 - 1, 1), solver.insert(i * 2, scc_cnt * 2 + 1, 1);
		solver.insert(i * 2, i * 2 - 1, n);
	}
	repn(x, 1, n) for (auto y: g[x]) {
		if (scc[x] == scc[y]) continue;
		solver.insert(2 * scc[x] - 1, 2 * scc[y], n);
	}
	repn(i, 1, scc_cnt) fa[i] = i;
	solver.run();
	repn(i, 1, scc_cnt) if (!ans[find(i)]) ans[find(i)] = ++tot;
	repn(i, 1, n) cout << ans[find(scc[i])] << " \n"[i == n];
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 8180kb

input:

5 5
1 4
2 3
1 3
2 5
5 1

output:

2 2 2 1 2

result:

ok AC

Test #2:

score: 0
Accepted
time: 2ms
memory: 10056kb

input:

5 7
1 2
2 1
4 3
5 1
5 4
4 1
4 5

output:

1 1 2 1 1

result:

ok AC

Test #3:

score: 0
Accepted
time: 2ms
memory: 8240kb

input:

8 6
6 1
3 4
3 6
2 3
4 1
6 4

output:

1 1 1 1 2 1 3 4

result:

ok AC

Test #4:

score: 0
Accepted
time: 816ms
memory: 10776kb

input:

7000 6999
4365 4296
2980 3141
6820 4995
4781 24
2416 5844
2940 2675
3293 2163
3853 5356
262 6706
1985 1497
5241 3803
353 1624
5838 4708
5452 3019
2029 6161
3849 4219
1095 1453
4268 4567
1184 1857
2911 3977
1662 2751
6353 6496
2002 6628
1407 4623
425 1331
4445 4277
1259 3165
4994 1044
2756 5788
5496 ...

output:

1552 1657 1326 1564 1139 557 744 1365 1110 1505 1597 46 1040 129 1519 963 516 926 1061 25 1257 585 296 1498 1662 1577 795 843 1404 33 1171 1198 231 846 1357 1358 286 1355 1513 1459 1525 1158 1443 534 326 687 1643 258 1438 337 890 950 1292 726 1647 187 205 377 1031 123 1192 1092 1045 439 158 199 467 ...

result:

ok AC

Test #5:

score: 0
Accepted
time: 640ms
memory: 10300kb

input:

7000 6999
4832 1603
5984 6985
5355 3687
6007 2170
5984 3486
3267 2189
538 2123
4343 4553
5855 6168
5984 257
4239 2304
5984 2063
3298 1869
5984 6353
5984 2018
5984 5387
5984 3382
3164 3978
2690 2816
4810 2638
5984 3773
5984 1634
5984 2786
5984 3671
5984 5140
2943 5721
5984 414
1105 4060
3093 796
5984...

output:

587 1022 618 465 1723 1128 886 671 2105 91 179 1781 1663 1274 2267 2308 1331 367 589 2330 1863 1713 2095 1232 1030 451 848 1896 782 1568 1664 548 1391 1090 1282 1645 1371 1516 117 135 2142 237 1187 1756 1846 417 21 776 1938 1573 18 1533 2303 204 1811 1450 2320 2029 1324 722 1899 696 641 181 805 1558...

result:

ok AC

Test #6:

score: 0
Accepted
time: 651ms
memory: 10908kb

input:

7000 6999
1649 5337
1701 3344
4394 2172
3330 39
5932 1141
5381 5340
5453 3300
125 2172
6810 5263
804 2172
6635 2172
676 4740
3015 1183
1710 5769
611 5915
3419 1581
2094 2172
4508 2172
6604 2433
6113 1466
1604 696
1518 1123
1287 2940
4825 2172
5130 4524
2693 2172
106 2172
5157 2172
3693 2172
5198 217...

output:

1176 1175 464 319 2256 1174 165 1084 1720 1177 1209 1173 1178 1456 1755 529 1172 385 1158 1690 1683 1171 1179 1446 1840 266 1643 413 1180 1170 1792 1181 1334 1621 1410 1169 1970 421 94 1182 2126 2073 1741 1168 1998 1177 1705 303 1167 2298 377 1183 1672 1538 1695 323 2043 1184 583 2329 1166 2282 1165...

result:

ok AC

Test #7:

score: 0
Accepted
time: 694ms
memory: 9160kb

input:

7000 6999
2896 6321
881 2623
5058 2623
4833 2623
4669 2623
4781 5007
1447 2623
4781 4768
4781 3834
2758 4792
797 5055
3784 2623
4781 5510
6606 3040
597 3459
4136 2037
1291 3989
4781 837
4781 4379
5637 2053
1642 2665
4781 4664
4781 952
4924 2511
4781 4201
4781 2352
4781 5362
3901 197
137 2623
2706 19...

output:

1 1750 1750 1750 1750 1750 1750 2 354 3 1750 1750 1750 1750 1750 1443 1548 1750 1750 4 1345 1750 795 607 1367 1504 1428 1007 5 6 1750 7 1750 1750 1750 1750 1536 226 1750 699 1750 1750 879 1750 8 1750 9 1750 10 1750 1750 1750 11 12 1750 13 1750 1750 783 1750 14 1750 1750 113 1750 15 272 1499 1750 174...

result:

ok AC

Test #8:

score: 0
Accepted
time: 361ms
memory: 10508kb

input:

6999 6998
1269 3969
1269 2429
1269 2609
1269 2515
1269 6166
1269 6614
3108 1269
2105 1269
4670 1269
578 1269
4661 1269
1421 1269
2576 1269
6152 1269
1269 6636
3011 1269
305 1269
5189 1269
1683 1269
6861 1269
1269 5798
1499 1269
282 1269
914 1269
80 1269
677 1269
701 1269
1269 359
6521 1269
1269 1754...

output:

1 2 3 4 1073 5 6 2667 1045 3245 3304 2946 7 434 8 9 10 976 11 12 125 13 14 2692 15 16 17 18 19 1675 20 1067 21 22 3194 23 1614 459 24 515 971 25 26 1204 3088 27 28 29 30 31 2522 1552 3493 32 263 2395 33 34 35 36 37 577 20 38 3396 2833 3337 39 40 41 525 42 730 1745 2103 43 44 2792 45 46 2095 47 2380 ...

result:

ok AC

Test #9:

score: 0
Accepted
time: 2ms
memory: 10400kb

input:

7000 0

output:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 ...

result:

ok AC

Test #10:

score: 0
Accepted
time: 630ms
memory: 9208kb

input:

7000 6999
3138 1903
3285 5919
6182 1430
1164 961
1577 6445
1390 3384
935 5723
6614 6387
4799 2877
3915 5128
5366 5455
2287 3941
2053 2326
4022 6993
488 2922
4327 4701
4674 3221
1666 4773
4356 3232
3888 937
4318 6942
577 1299
4491 1938
5154 1254
790 5532
4286 5478
2918 6725
2853 304
2554 5207
5140 77...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok AC

Test #11:

score: 0
Accepted
time: 103ms
memory: 9188kb

input:

7000 6999
33 3147
5877 4807
3116 4168
1651 2456
624 1740
6440 3058
6414 489
1023 2523
706 93
5523 598
4211 6063
3570 6840
6566 2971
6614 1907
5893 4389
4022 2527
5096 2345
4682 2134
188 5597
695 4285
1344 3832
3534 879
6574 6252
3759 3444
2167 85
5630 6600
3158 4404
6389 689
4871 6719
4295 6008
3437...

output:

23 29 1 1 19 19 1 7 1 1 1 1 1 30 1 7 1 25 1 1 14 1 29 1 1 1 1 1 1 1 1 1 31 1 1 7 34 33 1 1 1 19 16 1 12 1 14 1 1 7 1 1 1 1 1 7 1 1 1 35 14 34 34 1 1 1 1 13 29 1 5 29 1 1 19 1 20 13 29 1 23 15 1 1 3 6 1 1 15 1 29 1 1 1 1 17 36 1 3 1 1 1 1 33 1 1 25 1 1 20 1 1 1 23 33 1 29 1 1 1 1 20 13 1 33 1 1 1 1 3...

result:

ok AC

Test #12:

score: 0
Accepted
time: 77ms
memory: 10488kb

input:

7000 6999
1247 5150
3318 2013
5686 1615
6145 6521
5717 94
2787 3443
2648 4875
5332 5934
1897 1651
4640 2183
1750 6964
148 5228
745 2814
474 1165
496 6735
180 3412
2723 3374
6200 4361
497 5328
1928 5998
5648 1261
5090 4723
1715 706
2499 897
6569 6204
6039 2787
2882 5044
5767 4256
975 1877
1857 4453
6...

output:

1 44 1 15 1 1 46 1 80 1 65 23 79 1 1 17 1 1 1 1 1 1 1 1 1 1 3 1 69 81 1 1 1 1 1 1 56 1 77 1 1 1 63 1 1 15 1 1 1 32 30 82 1 1 1 1 1 49 65 1 15 50 1 1 1 23 1 1 71 67 1 83 69 1 1 1 1 1 60 13 1 1 1 1 1 15 1 1 1 1 71 1 1 1 26 1 1 1 1 1 32 1 1 71 15 1 1 63 1 17 3 1 1 67 1 33 1 1 70 1 1 71 1 16 1 1 1 73 1 ...

result:

ok AC

Test #13:

score: 0
Accepted
time: 343ms
memory: 10848kb

input:

7000 6999
2349 199
5295 2831
6143 2006
3212 3198
6956 3807
732 4838
5069 1027
5744 3479
6 5301
5687 4452
4201 1151
1353 4884
548 3506
6094 4799
4950 6939
5234 817
652 1314
979 6984
5771 1851
398 1322
2294 4298
847 3929
6833 183
2904 6745
4797 3874
94 315
4282 582
6591 5037
962 147
799 908
2593 5547
...

output:

1 2 341 1 1 17 8 433 574 254 28 1 102 487 178 1 546 179 379 489 117 1 1 89 378 1 1 464 137 1 436 150 195 224 1 72 1 112 259 34 311 1 22 533 1 313 230 1 1 292 163 184 457 569 264 575 254 406 472 131 1 1 324 1 1 352 341 417 201 476 1 1 1 1 102 1 350 1 484 124 1 1 1 210 576 72 1 210 1 299 39 261 1 577 ...

result:

ok AC

Test #14:

score: 0
Accepted
time: 561ms
memory: 9112kb

input:

7000 6999
3409 1629
2076 6412
4997 1078
6320 626
4501 1104
4173 1774
5507 2375
2299 5115
4321 127
1192 6635
1909 3398
2972 499
862 5024
421 2931
861 1536
902 3813
659 4514
1843 3035
3669 1228
1724 1880
34 706
133 3468
6116 585
5073 1461
5667 3405
715 4834
6915 3007
1736 6108
3264 2870
2393 6474
2108...

output:

1107 1 1108 803 1 1109 204 1 363 671 975 836 1 985 1111 534 592 1 717 133 1 702 1 359 1112 1 1113 1114 1115 1116 1 1117 1 1118 1203 465 539 1204 715 904 738 1205 1206 1254 1 574 1122 724 1273 822 833 185 1 136 1 1274 860 1093 79 893 42 1 126 601 623 1275 582 1276 826 1277 1278 477 1279 1280 1198 128...

result:

ok AC

Test #15:

score: -100
Wrong Answer
time: 1027ms
memory: 10060kb

input:

7000 7000
2048 5882
6801 2408
3225 2608
1441 5079
497 6253
557 5589
2535 6257
4800 2595
4713 1286
4759 6636
4303 4296
6195 2048
6994 2987
1249 3044
1036 10
6472 2076
1996 1086
1279 1486
6100 369
4797 3437
2493 4576
2944 5601
197 5582
5488 5035
4023 659
2651 5024
2257 5710
1001 3941
446 4815
687 702
...

output:

1 2 18 19 20 27 37 38 39 42 44 45 46 60 102 104 256 270 272 47 273 274 276 182 279 280 308 315 317 319 397 403 405 411 293 413 415 421 422 423 369 162 426 371 428 430 431 350 147 434 435 419 129 438 441 417 442 30 419 220 454 376 455 457 458 464 363 234 465 467 478 432 453 479 480 443 493 223 305 50...

result:

wrong answer 59 and 52 are not connected