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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#631077#9449. New School Termc20230201TL 2600ms20108kbC++142.7kb2024-10-11 21:53:122024-10-11 21:53:13

Judging History

你现在查看的是最新测评结果

  • [2024-10-11 21:53:13]
  • 评测
  • 测评结果:TL
  • 用时:2600ms
  • 内存:20108kb
  • [2024-10-11 21:53:12]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

typedef long long ll;

const int maxn=1e6+5;
int a[maxn], b[maxn], siz[maxn], siz2[maxn], id[maxn];
int tfa[20005], fa[20005], col[maxn];
vector<int> v1[20005], v2[20005];

bitset<20005> f;

int find(int x) {
    if(fa[x]!=x) return fa[x]=find(fa[x]);
    return x;
}

void merge(int u,int v) {
    u=find(u), v=find(v);
    fa[u]=v;
    return ;
}

bitset<20005> F[20005];

void gz(int i,int j) {
    if(!i) return ;
    // cout<<id[i]<<'\n';
    if(j>=siz[id[i]]-siz2[id[i]]&&F[i-1][j-siz[id[i]]+siz2[id[i]]]) {
        gz(i-1,j-siz[id[i]]+siz2[id[i]]);
        for(auto x:v1[id[i]]) col[x]=1;
        for(auto x:v2[id[i]]) col[x]=2;
    }else {
        gz(i-1,j);
        for(auto x:v2[id[i]]) col[x]=1;
        for(auto x:v1[id[i]]) col[x]=2;
    }
    return ;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);
    int n,m; cin>>n>>m;
    n<<=1;
    for(int i=1;i<=m;i++) cin>>a[i]>>b[i];
    for(int i=1;i<=2*n;i++) fa[i]=i;
    for(int i=m;i>=1;i--) {
        int u=find(a[i]), v=find(b[i]);
        int uu=find(a[i]+n), vv=find(b[i]+n);
        if(u==v) continue;
        if(u==vv) continue;
        // cout<<"! "<<a[i]<<' '<<b[i]<<'\n';
        for(int j=1;j<=2*n;j++) tfa[j]=fa[j], siz[j]=siz2[j]=0;
        fa[u]=vv, fa[uu]=v;
        for(int j=1;j<=n;j++) siz[find(j)]++;
        for(int j=n+1;j<=2*n;j++) siz2[find(j)]++;
        int sum=0;
        f.reset(); f[0]=1;
        for(int j=1;j<=2*n;j++) {
            if(find(j)!=j) continue;
            if(j<=n&&find(j+n)<j||j>n&&find(j-n)<j) continue;
            // cout<<j<<' '<<siz[j]<<' '<<siz2[j]<<'\n';
            if(siz[j]<siz2[j]) swap(siz[j],siz2[j]);
            sum+= siz2[j];
            f|=(f<<siz[j]-siz2[j]);
        }
        if(!f[n/2-sum]) {
            // cout<<"????\n";
            for(int j=1;j<=2*n;j++) fa[j]=tfa[j];
        }
    }
    for(int i=1;i<=2*n;i++) siz[i]=siz2[i]=0;
    for(int i=1;i<=n;i++) siz[find(i)]++, v1[find(i)].push_back(i);
    for(int i=n+1;i<=2*n;i++) siz2[find(i)]++, v2[find(i)].push_back(i-n);
    int sum=0, num=0;
    F[0][0]=1;
    for(int i=1;i<=2*n;i++) {
        if(find(i)!=i||i<=n&&find(i+n)<i||i>n&&find(i-n)<i) continue;
        if(siz[i]<siz2[i]) swap(siz[i],siz2[i]), swap(v1[i],v2[i]);
        // cout<<i<<' '<<siz[i]<<' '<<siz2[i]<<' '<<v1[i].size()<<' '<<v2[i].size()<<'\n';
        sum+= siz2[i];
        id[++num]=i;
        F[num]=F[num-1]|(F[num-1]<<siz[i]-siz2[i]);
    }
    if(!F[num][n/2-sum]) {
        cout<<"AA???\n";
    }else {
        gz(num,n/2-sum);
        for(int i=1;i<=n;i++) cout<<col[i]-1; cout<<'\n';
    }
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 3ms
memory: 17968kb

input:

2 4
1 3
2 4
1 4
1 2

output:

1010

result:

ok Output is valid. OK

Test #2:

score: 0
Accepted
time: 0ms
memory: 20020kb

input:

3 7
2 5
1 3
4 6
2 6
4 5
2 4
5 6

output:

110010

result:

ok Output is valid. OK

Test #3:

score: 0
Accepted
time: 0ms
memory: 11872kb

input:

1 0

output:

10

result:

ok Output is valid. OK

Test #4:

score: 0
Accepted
time: 3ms
memory: 17932kb

input:

1 1
1 2

output:

10

result:

ok Output is valid. OK

Test #5:

score: 0
Accepted
time: 3ms
memory: 17972kb

input:

2 3
2 4
3 4
1 2

output:

0110

result:

ok Output is valid. OK

Test #6:

score: 0
Accepted
time: 0ms
memory: 15872kb

input:

3 8
4 6
3 5
1 4
2 4
1 6
1 2
3 4
4 5

output:

010101

result:

ok Output is valid. OK

Test #7:

score: 0
Accepted
time: 0ms
memory: 18004kb

input:

4 9
4 7
3 8
1 5
2 7
2 8
6 8
7 8
1 4
1 6

output:

10101001

result:

ok Output is valid. OK

Test #8:

score: 0
Accepted
time: 0ms
memory: 15876kb

input:

5 16
3 6
9 10
2 7
1 10
1 5
2 10
3 5
5 6
3 4
2 5
4 5
3 8
4 7
6 8
1 6
7 10

output:

1101000101

result:

ok Output is valid. OK

Test #9:

score: 0
Accepted
time: 3ms
memory: 18012kb

input:

6 13
4 5
2 9
3 8
4 8
4 11
10 12
3 4
3 9
5 11
2 8
5 10
5 8
1 11

output:

001001110110

result:

ok Output is valid. OK

Test #10:

score: 0
Accepted
time: 0ms
memory: 16000kb

input:

12 153
1 24
16 18
7 14
1 16
20 21
9 14
21 22
4 5
17 24
4 12
5 17
13 24
14 15
12 23
12 16
8 11
14 24
9 16
2 5
6 19
11 17
4 22
4 7
6 16
7 20
8 15
5 24
2 10
10 21
21 24
1 12
11 19
18 21
18 24
12 17
13 22
7 9
13 23
4 9
11 13
15 21
5 7
2 4
15 16
17 19
11 16
11 20
7 8
4 15
13 14
6 18
2 19
9 13
23 24
4 21
...

output:

000011100110010001111110

result:

ok Output is valid. OK

Test #11:

score: 0
Accepted
time: 60ms
memory: 20108kb

input:

259 33757
472 500
65 336
138 469
307 442
427 458
43 239
17 508
460 466
108 393
79 92
250 483
44 277
17 132
35 57
155 499
184 474
246 272
274 418
457 458
338 372
196 514
31 208
117 187
90 229
153 284
189 355
16 337
146 456
269 271
279 412
305 336
303 441
399 472
85 286
91 97
157 437
137 379
71 360
27...

output:

000111001101000110010001111000111111100000011101010011011101110001010010000001111000111010000011101001010001000011100101010011000101101100010101100101100101100010011000110100001110011000111101010100011001001110110101101101010101101001100110011110101001111011110001010001111101001110101101111001001100...

result:

ok Output is valid. OK

Test #12:

score: 0
Accepted
time: 624ms
memory: 20072kb

input:

811 265557
217 1153
383 1609
165 177
612 1602
1057 1428
37 436
135 1200
368 684
448 722
145 1583
325 1052
246 480
74 148
122 1111
1256 1327
304 1070
1285 1542
802 813
454 1563
265 1193
94 848
432 1156
429 1194
427 1230
1152 1406
1329 1355
702 845
591 1232
877 1288
1257 1549
340 659
1080 1333
910 137...

output:

110111111101000111011111111101011110100101000101001000000001111000101111010100100101110100110101000111110100111100100110111110100101110101111100011110101010011001101010100110010011011111011011110101111111011000001100001101110111111110100010011100011110111111010001011111110110011111100001010011011101...

result:

ok Output is valid. OK

Test #13:

score: 0
Accepted
time: 2600ms
memory: 17988kb

input:

1691 323743
1246 2397
1445 2647
2010 2806
2001 2896
802 2258
2679 2976
2203 2875
2445 2698
137 3004
536 1800
2316 2520
594 1517
279 1558
1934 2871
57 1358
357 976
1764 2672
869 2137
1694 2201
491 1906
1177 1414
1304 1377
2454 2653
626 2637
1425 1677
620 876
1326 2085
404 874
626 1565
136 597
2885 31...

output:

000101110111111001001111011011101100010010100110100011010001111100011101110000111110111101011010000101000111000111001100011011001111001110110010001101001000001001001101011010101010111011011101000110100100000001101100111100001010111000100101101001010100100110110001011011001110011010000011000100010101...

result:

ok Output is valid. OK

Test #14:

score: -100
Time Limit Exceeded

input:

2891 285302
2273 3206
2376 4737
1075 5673
2493 5453
548 1902
603 1376
1948 2985
108 4730
2172 2948
947 1758
762 1558
2813 5701
2287 3502
297 1501
568 4247
4569 5071
832 3005
412 4226
1813 4519
726 3017
1658 3990
1771 3230
1705 2149
765 4782
5420 5652
3089 4727
4362 5054
1578 3729
1111 5740
2234 5691...

output:


result: