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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 |
---|---|---|---|---|---|---|---|---|---|
#613795 | #9449. New School Term | ucup-team3161# | WA | 10ms | 14108kb | C++14 | 4.8kb | 2024-10-05 14:45:53 | 2024-10-05 14:45:55 |
Judging History
answer
// what is matter? never mind.
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,sse4,popcnt,abm,mmx,avx,avx2")
#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define ll long long
#define ull unsigned long long
//#define int long long
#define SZ(x) ((int)((x).size()))
#define ALL(x) (x).begin(),(x).end()
using namespace std;
inline int read()
{
char c=getchar();int x=0;bool f=0;
for(;!isdigit(c);c=getchar())f^=!(c^45);
for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
return f?-x:x;
}
#define mod 998244353
struct modint{
unsigned int x;
modint(int o=0){x=o;}
modint &operator = (int o){return x=o,*this;}
modint &operator +=(modint o){return x=x+o.x>=mod?x+o.x-mod:x+o.x,*this;}
modint &operator -=(modint o){return x=x<o.x?x-o.x+mod:x-o.x,*this;}
modint &operator *=(modint o){return x=1ll*x*o.x%mod,*this;}
modint &operator ^=(int b){
modint a=*this,c=1;
for(;b;b>>=1,a*=a)if(b&1)c*=a;
return x=c.x,*this;
}
modint &operator /=(modint o){return *this *=o^=mod-2;}
friend modint operator +(modint a,modint b){return a+=b;}
friend modint operator -(modint a,modint b){return a-=b;}
friend modint operator *(modint a,modint b){return a*=b;}
friend modint operator /(modint a,modint b){return a/=b;}
friend modint operator ^(modint a,int b){return a^=b;}
friend bool operator ==(modint a,modint b){return a.x==b.x;}
friend bool operator !=(modint a,modint b){return a.x!=b.x;}
bool operator ! () {return !x;}
modint operator - () {return x?mod-x:0;}
bool operator <(const modint&b)const{return x<b.x;}
};
inline modint qpow(modint x,int y){return x^y;}
vector<modint> fac,ifac,iv;
inline void initC(int n)
{
if(iv.empty())fac=ifac=iv=vector<modint>(2,1);
int m=iv.size(); ++n;
if(m>=n)return;
iv.resize(n),fac.resize(n),ifac.resize(n);
For(i,m,n-1){
iv[i]=iv[mod%i]*(mod-mod/i);
fac[i]=fac[i-1]*i,ifac[i]=ifac[i-1]*iv[i];
}
}
inline modint C(int n,int m){
if(m<0||n<m)return 0;
return initC(n),fac[n]*ifac[m]*ifac[n-m];
}
inline modint sign(int n){return (n&1)?(mod-1):(1);}
#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;
#define maxn 200005
#define inf 0x3f3f3f3f
int n,m,a[maxn],b[maxn];
int fa[maxn],s[maxn];
int gf(int x){
while(x!=fa[x])x=fa[x]=fa[fa[x]];
return x;
}
void mg(int u,int v){
u=gf(u),v=gf(v);
if(u!=v) {
fa[u]=v;
s[v]+=s[u];
s[u]=0;
}
}
int c[maxn];
bool f[20005];
int ct[20005],pre[20005];
int szf=0;
bool chk(){
int sum=0;
For(i,1,n*2)sum+=c[i]*i;
sum=szf;
if(sum&1) assert(0);
sum/=2;
memset(f,0,sizeof f);
f[0]=1;
For(i,1,sum)if(c[i]){
memset(ct,0,sizeof ct);
For(j,i,sum){
if(!f[j] && f[j-i] && ct[j-i]<c[i]){
f[j]=1;
ct[j]=ct[j-i]+1;
pre[j]=i;
}
}
}
return f[sum];
}
int nd[maxn];
int vis[maxn];
vi buc[maxn];
int ck[maxn];
signed main()
{
// freopen("data.in","r",stdin);
// freopen("my.out","w",stdout);
n=read(),m=read();
For(i,1,m)a[i]=read(),b[i]=read();
For(i,1,n*4) {
fa[i]=i;
if(i<=n*2) s[i]=1; else s[i]=-1;
}
c[1]=n*2;
szf=n*2;
Rep(i,m,1){
ck[i]=-1;
if(gf(a[i])==gf(b[i]) || gf(a[i])==gf(b[i]+n*2)) continue;
int u=gf(a[i]),v=gf(b[i]+n*2);
int w1=abs(s[u]),w2=abs(s[v]),w3=abs(s[u]+s[v]);
--c[w1],--c[w2],++c[w3];
szf+=w3-w2-w1;
bool ok=chk();
if(ok){
// cout<<"dif "<<i<<"\n";
mg(a[i],b[i]+n*2);
mg(b[i],a[i]+n*2);
ck[i]=1;
}else{
// cout<<"sam "<<i<<"\n";
++c[w2],--c[w3]; szf+=w2-w3;
v=gf(b[i]);
w2=abs(s[v]),w3=abs(s[u]+s[v]);
--c[w2],++c[w3]; szf+=w3-w2;
mg(a[i],b[i]);
mg(a[i]+n*2,b[i]+n*2);
ck[i]=0;
}
}
int sum=0;
For(i,1,n*2)sum+=c[i]*i; sum/=2;
cerr<<"sum "<<sum<<"\n";
chk();
assert(f[sum]);
// exit(0);
int now=sum;
while(now) /*cout<<"pre "<<pre[now]<<"\n",*/nd[pre[now]]++,now-=pre[now];
For(i,1,n*4) vis[i]=-1,buc[gf(i)].pb(i);
For(ii,1,n*2) {
int i=gf(ii);
if(vis[(i<=n*2?i:i-n*2)]!=-1) continue;
int sz=abs(s[i]);
int s1=0,s0=0;
for(int x:buc[i]){
if((x<=n*2)) vis[x]=1,++s1;
else vis[x-n*2]=0,++s0;
}
if(s1>s0){
for(int x:buc[i]) {
if(x<=n*2) vis[x]^=1;
else vis[x-n*2]^=1;
}
}
if(nd[sz]){
// cout<<"flip "<<i<<"\n";
--nd[sz];
for(int x:buc[i]) {
if(x<=n*2) vis[x]^=1;
else vis[x-n*2]^=1;
}
}
}
For(i,1,n*2) cout<<vis[i];
int ss=0;
For(i,1,n*2) assert(vis[i]!=-1),ss+=(vis[i]!=0);
assert(ss==n);
Rep(i,m,1){
if(ck[i]!=-1){
if(ck[i]==1) assert(vis[a[i]]!=vis[b[i]]);
else assert(vis[a[i]]==vis[b[i]]);
}
}
return 0;
}
/*
3 1
1 2
3 2
5 6
4 6
6 3
1 2
2 3
3 4
*/
詳細信息
Test #1:
score: 100
Accepted
time: 3ms
memory: 13864kb
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: 13932kb
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: 2ms
memory: 12648kb
input:
1 0
output:
10
result:
ok Output is valid. OK
Test #4:
score: 0
Accepted
time: 0ms
memory: 12672kb
input:
1 1 1 2
output:
10
result:
ok Output is valid. OK
Test #5:
score: 0
Accepted
time: 3ms
memory: 13856kb
input:
2 3 2 4 3 4 1 2
output:
1001
result:
ok Output is valid. OK
Test #6:
score: 0
Accepted
time: 2ms
memory: 12008kb
input:
3 8 4 6 3 5 1 4 2 4 1 6 1 2 3 4 4 5
output:
101010
result:
ok Output is valid. OK
Test #7:
score: 0
Accepted
time: 3ms
memory: 13004kb
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: 3ms
memory: 13800kb
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: 0ms
memory: 13940kb
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: 3ms
memory: 12768kb
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:
111100011001101110000001
result:
ok Output is valid. OK
Test #11:
score: 0
Accepted
time: 3ms
memory: 13340kb
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:
111000110010111001101110000111000000011111100010101100100010001110101101111110000111000101111100010110101110111100011010101100111010010011101010011010011010011101100111001011110001100111000010101011100110110001001010010010101010010110011001100001010110000100001110101110000010110001010010000110110011...
result:
ok Output is valid. OK
Test #12:
score: -100
Wrong Answer
time: 10ms
memory: 14108kb
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:
110101111111011011111110111111101111011001101111111101111111111011111111111111111100111011101011110111111111111111010011101110110111110111101111111011111111011111111101011110110001011011111100011111011111111111101011111001101111111111111011011111110111110011111111111001010101111111111110111111111110...
result:
wrong answer The division is not minimized.