The 19th Zhejiang Provincial Collegiate Programming Contest
The Programming Contest
2023-09-11 14:15:02 时间
题解：
https://files.cnblogs.com/files/clrs97/2022ZJCPC%E5%88%86%E6%9E%90.zip
Code：
A. JB Loves Math
#include<cmath>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
#include<vector>
#include<queue>
#include<bitset>
#include<set>
#include<unordered_map>
#include<unordered_set>
#include<map>
#include<cassert>
#include<string>
using namespace std;
#define pb push_back
#define mp make_pair
#define data dataa
#define rep(i,n) for(int i=1;i<=n;i++)
typedef long long LL;
int main()
{
int T;
for(scanf("%d",&T);T--;)
{
int a,b;
scanf("%d%d",&a,&b);
if(a==b)puts("0");
else if(a<b)
{
if((b-a)%2==1)puts("1");
else if((b-a)/2%2==1)puts("2");
else puts("3");
}
else
{
if((a-b)%2==0)puts("1");
else puts("2");
}
}
return 0;
}
B. JB Loves Comma
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define mp make_pair
#define data dataa
#define rep(i,n) for(int i=1;i<=n;i++)
typedef long long LL;
char s[100010];
bool comma[100010];
int main()
{
scanf("%s",s+1);
int n=strlen(s+1);
rep(i,n-2)if(s[i]=='c'&&s[i+1]=='j'&&s[i+2]=='b')comma[i+2]=1;
rep(i,n)
{
putchar(s[i]);
if(comma[i])putchar(',');
}
puts("");
return 0;
}
C. JB Wants to Earn Big Money
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define mp make_pair
#define data dataa
#define rep(i,n) for(int i=1;i<=n;i++)
typedef long long LL;
int main()
{
int n,m,x,ans=0;
scanf("%d%d%d",&n,&m,&x);
rep(i,n)
{
int y;scanf("%d",&y);
ans+=y>=x;
}
rep(i,m)
{
int y;scanf("%d",&y);
ans+=y<=x;
}
printf("%d\n",ans);
return 0;
}
D. The Profiteer
#include<cstdio>
typedef long long ll;
const int N=200005,M=20;
int n,k,e,i,v[N],a[N],b[N],ans[N];
int f[M][N],g[N],h[N];
inline void up(int&a,int b){a<b?(a=b):0;}
inline void copy(int*f,int*g){for(int i=0;i<=k;i++)f[i]=g[i];}
inline void ins(int*f,int x,int y){for(int i=k;i>=x;i--)up(f[i],f[i-x]+y);}
inline bool check(int l,int r,int x,int y){//ans[x]<=y?
if(x>y)return 0;
int i;
copy(h,g);
for(i=l;i<=r;i++)ins(h,x<=i&&i<=y?b[i]:a[i],v[i]);
ll sum=0;
for(i=1;i<=k;i++)sum+=h[i];
return sum<=1LL*k*e;
}
void solve(int d,int L,int R,int dl,int dr){
if(L>R||dl>dr)return;
int dm=(dl+dr)>>1,l=L,r=R,mid,m=L-1,i;
copy(g,f[d]);
for(i=dl;i<=dr;i++){
if(i>=L&&i<=R)continue;
ins(g,L<=i&&i<=dm?b[i]:a[i],v[i]);
}
while(l<=r){
mid=(l+r)>>1;
if(check(l,r,mid,dm)){
for(i=l;i<=mid;i++)ins(g,mid<i&&i<=dm?b[i]:a[i],v[i]);
l=(m=mid)+1;
}else{
for(i=mid;i<=r;i++)ins(g,l<=i&&i<=dm?b[i]:a[i],v[i]);
r=mid-1;
}
}
for(i=L;i<=m;i++)ans[i]=dm;
if(L<=m&&dl<dm){
copy(f[d+1],f[d]);
for(i=m+1;i<=R;i++){
if(i>=dl&&i<dm)continue;
ins(f[d+1],L<=i&&i<dm?b[i]:a[i],v[i]);
}
for(i=dm;i<=dr;i++){
if(i>=L&&i<=R)continue;
ins(f[d+1],L<=i&&i<dm?b[i]:a[i],v[i]);
}
solve(d+1,L,m,dl,dm-1);
}
if(R>m&&dr>dm){
copy(f[d+1],f[d]);
for(i=L;i<=m;i++){
if(i>dm&&i<=dr)continue;
ins(f[d+1],m<i&&i<=dr?b[i]:a[i],v[i]);
}
for(i=dl;i<=dm;i++){
if(i>=L&&i<=R)continue;
ins(f[d+1],m<i&&i<=dr?b[i]:a[i],v[i]);
}
solve(d+1,m+1,R,dm+1,dr);
}
}
int main(){
scanf("%d%d%d",&n,&k,&e);
for(i=1;i<=n;i++)scanf("%d%d%d",&v[i],&a[i],&b[i]);
for(i=1;i<=n;i++)ans[i]=n+1;
solve(0,1,n,1,n);
ll fin=0;
for(i=1;i<=n;i++)fin+=n-ans[i]+1;
printf("%lld",fin);
}
E. Easy Jump
#include<bits/stdc++.h>
using namespace std;
const int maxn = 21000;
int n,H,S,T1,T2;
int P[maxn],o[maxn];
double p[maxn],q[maxn];
double f[maxn][10][10];
int main()
{
ios_base::sync_with_stdio(false);
cin>>n>>H>>S;
for(int i=1;i<=n;i++) cin>>P[i];
for(int i=1;i<=n;i++) p[i]=P[i]/100.0,q[i]=1-p[i];
int K; cin>>K;
while(K--)
{
int x; cin>>x;
o[x]=1;
}
cin>>T1>>T2;
for(int s=0;s<=S;s++) for(int h=1;h<=H;h++) f[n+1][s][h]=0;
for(int i=n;i>=1;i--)
{
if(o[i])
{
if(T1<T2&&S>0)
{
for(int s=S;s<=S;s++) for(int h=2;h<=H;h++)
{
double mn;
if(h>2) mn= 1+ p[i]*f[i+1][S][h] + q[i]*f[i][s][h-1];
else mn= ( 1+ p[i]*f[i+1][S][h] + q[i]*T1 )/p[i];
for(int k=h;k<=H;k++)
{
double temp= (k-h)*T1+(1+ p[i]*f[i+1][S][k] + q[i]*T1)/p[i];
mn=min( mn, temp );
}
f[i][s][h]=mn;
}
}
else
{
for(int s=S;s<=S;s++) for(int h=2;h<=H;h++)
{
if(h>2) f[i][s][h]= 1+ p[i]*f[i+1][o[i+1]?S:s][h] + q[i]*f[i][s][h-1];
else f[i][s][h]= ( 1+ p[i]*f[i+1][o[i+1]?S:s][h] + q[i]*T2 )/p[i];
}
}
}
else
{
for(int s=0;s<=S;s++) for(int h=2;h<=H;h++)
{
if(h>2) f[i][s][h]= 1+ p[i]*f[i+1][o[i+1]?S:s][h] + q[i]*f[i][s][h-1];
else
{
if(s&&T1<T2)
{
f[i][s][h]= 1+ p[i]*f[i+1][o[i+1]?S:s][h] + q[i]*(f[i][s-1][h]+T1);
}
else
{
f[i][s][h]= ( 1+ p[i]*f[i+1][o[i+1]?S:s][h] + q[i]*T2 )/p[i];
}
}
}
}
}
cout<<fixed<<setprecision(12)<<f[1][S][H]<<endl;
return 0;
}
F. Easy Fix
#include<bits/stdc++.h>
#define lowbit(x) ((x)&(-x))
#define ll long long
using namespace std;
const int maxn = 110000;
const int maxp = maxn*20;
int n,m;
struct segment
{
int tot;
int seg[maxp],lc[maxp],rc[maxp];
void init()
{
tot=0;
}
int newnode()
{
++tot;
seg[tot]=lc[tot]=rc[tot]=0;
return tot;
}
int loc,c;
void upd(int &x,const int l,const int r)
{
if(!x) x=newnode();
seg[x]+=c;
if(l==r) return;
int mid=(l+r)>>1;
if(loc<=mid) upd(lc[x],l,mid);
else upd(rc[x],mid+1,r);
}
void merge(int &x,const int y)
{
if(!y) return;
if(!x) { x=y;return; }
seg[x]+=seg[y];
merge(lc[x],lc[y]);
merge(rc[x],rc[y]);
}
int lx,rx;
int query(const int x,const int l,const int r)
{
if(rx<l||r<lx||!x) return 0;
if(lx<=l&&r<=rx) return seg[x];
int mid=(l+r)>>1;
return query(lc[x],l,mid)+query(rc[x],mid+1,r);
}
};
struct Solve
{
int a[maxn];
segment seg0a,seg0b,seg2,seg_2,segc;
int root0a[maxn],root0b[maxn],root2[maxn],root_2[maxn],rootc[maxn];
int li[maxn],ri[maxn];
int s[maxn];
void upd(int x,int c){ for(;x<=n;x+=lowbit(x))s[x]+=c; }
int query(int x)
{
int re=0;
for(;x;x-=lowbit(x)) re+=s[x];
return re;
}
ll ans;
void build()
{
ans=0;
for(int i=1;i<=n;i++) s[i]=0;
seg0a.init(); seg0b.init(); seg2.init(); seg_2.init(); segc.init();
root0a[0]=root0b[0]=root2[0]=root_2[0]=rootc[0]=0;
for(int i=1;i<=n;i++)
{
int l=query(a[i]),r=a[i]-1-l;
li[i]=l,ri[i]=r;
int k=l-r;
ans+=min(l,r);
if(k>=0)
{
seg0a.loc=a[i],seg0a.c=1;
seg0a.upd(root0a[i],1,n);
}
if(k<=0)
{
seg0b.loc=a[i],seg0b.c=1;
seg0b.upd(root0b[i],1,n);
}
if(k>=2)
{
seg2.loc=a[i],seg2.c=1;
seg2.upd(root2[i],1,n);
}
if(k<=-2)
{
seg_2.loc=a[i],seg_2.c=1;
seg_2.upd(root_2[i],1,n);
}
segc.loc=a[i],segc.c=1;
segc.upd(rootc[i],1,n);
seg0a.merge(root0a[i],root0a[i-1]);
seg0b.merge(root0b[i],root0b[i-1]);
seg2.merge(root2[i],root2[i-1]);
seg_2.merge(root_2[i],root_2[i-1]);
segc.merge(rootc[i],rootc[i-1]);
upd(a[i],1);
}
}
ll query(int l,int r)
{
if(l==r) return ans;
ll ret=ans;
int x=a[l],y=a[r];
int d= x<y?-2:2;
if(x>y) swap(x,y);
{
ret-=min(li[l],ri[l])+min(li[r],ri[r]);
segc.lx=1,segc.rx=a[l];
int numc=segc.query(rootc[r],1,n)-1;
ret+=min(numc,a[l]-1-numc);
segc.lx=1,segc.rx=a[r];
numc=segc.query(rootc[l-1],1,n);
ret+=min(numc,a[r]-1-numc);
}
if(d==2)
{
seg0a.lx=x,seg0a.rx=y;
ret-=seg0a.query(root0a[r-1],1,n)-seg0a.query(root0a[l],1,n);
seg_2.lx=x,seg_2.rx=y;
ret+=seg_2.query(root_2[r-1],1,n)-seg_2.query(root_2[l],1,n);
//>=0 -,<=-2 +
}
else
{
seg0b.lx=x,seg0b.rx=y;
ret-=seg0b.query(root0b[r-1],1,n)-seg0b.query(root0b[l],1,n);
seg2.lx=x,seg2.rx=y;
ret+=seg2.query(root2[r-1],1,n)-seg2.query(root2[l],1,n);
//<=0 -, >=2 +
}
return ret;
}
}S1;
int main()
{
ios_base::sync_with_stdio(false);
cin>>n;
for(int i=1;i<=n;i++) cin>>S1.a[i];
S1.build();
cin>>m;
while(m--)
{
int x,y; cin>>x>>y;
if(x>y) swap(x,y);
cout<<S1.query(x,y)<<endl;
}
return 0;
}
G. Easy Glide
#include<bits/stdc++.h>
#define ll long long
using namespace std;
const int maxn = 1020;
const double eps = 1e-7;
int n;
struct point
{
int x,y;
double dis(point k){ return hypot(x-k.x,y-k.y); }
}p[maxn],S,T;
double Dis[maxn][maxn];
double V1,V2;
int vis[maxn];
double f[maxn];
void Dij()
{
for(int i=0;i<=n+1;i++)
{
f[i]= Dis[0][i]/V1;
}
for(int k=0;k<=n+1;k++)
{
int mni=-1;
for(int i=0;i<=n+1;i++) if(!vis[i])
{
if(mni==-1 || f[mni]-eps > f[i]) mni=i;
}
int i=mni;
vis[i]=1;
for(int j=0;j<=n+1;j++)
{
double dd=Dis[i][j];
double t;
if( i>=1 && i<=n )
t= dd > 3*V2 ? (dd-3*V2)/V1+3 : dd/V2;
else
t= dd/V1;
if(f[j]-eps > f[i]+t)
f[j]=f[i]+t;
}
}
}
int v1,v2;
int main()
{
ios_base::sync_with_stdio(false);
cin>>n;
for(int i=1;i<=n;i++) cin>>p[i].x>>p[i].y;
cin>>S.x>>S.y;
cin>>T.x>>T.y;
p[0]=S,p[n+1]=T;
cin>>V1>>V2;
for(int i=0;i<=n+1;i++) for(int j=0;j<=n+1;j++) Dis[i][j]=p[i].dis(p[j]);
Dij();
cout<<fixed<<setprecision(12)<<f[n+1]<<endl;
return 0;
}
H. A=B
#include <bits/stdc++.h>
using namespace std;
string str[]={
"",
"S=XY",
"aX=Xa",
"bX=Xb",
"cX=Xc",
"X=ZP",
"PA=dp",
"PB=ep",
"PC=fp",
"pa=aP",
"pb=bP",
"pc=cP",
"p=(return)0",
"aA=Aa",
"bA=Ab",
"cA=Ac",
"aB=Ba",
"bB=Bb",
"cB=Bc",
"aC=Ca",
"bC=Cb",
"cC=Cc",
"Ya=AY",
"Yb=BY",
"Yc=CY",
"P=",
"Z=T1",
"1da=ad1",
"1eb=be1",
"1fc=cf1",
"1a=(return)1",
"1b=(return)1",
"1c=(return)1",
"1Y=(return)1",
"1=0",
"0da=ad0",
"0db=bd0",
"0dc=cd0",
"0ea=ae0",
"0eb=be0",
"0ec=ce0",
"0fa=af0",
"0fb=bf0",
"0fc=cf0",
"0=",
"Ta=Z",
"Tb=Z",
"Tc=Z",
"T=(return)0"
};
int n = 48;
int main(){
int Tid = 0;
cin >> Tid;
for (int i=1;i<=n;i++) cout << str[i] << endl;
return 0;
}
I. Barbecue
#include<bits/stdc++.h>
using namespace std;
typedef unsigned long long ull;
const int N=1e6+1e3+7;
const ull P=(1ull<<61)-1,bs=13131;
int n,q;
char s[N];
typedef unsigned long long ull;
ull mul(ull a,ull b)
{
ull l1=(uint32_t)a,h1=a>>32,l2=(uint32_t)b,h2=b>>32;
ull l=l1*l2,m=l1*h2+l2*h1,h=h1*h2;
ull ret=(l&P)+(l>>61)+(h<<3)+(m>>29)+(m<<35>>3)+1;
ret=(ret&P)+(ret>>61);
ret=(ret&P)+(ret>>61);
return ret-1;
}
ull add(ull x,ull y)
{
return x+y>=P?x+y-P:x+y;
}
ull pw[N];
ull hl[N],hr[N];
bool chk(int l,int r)
{
return add(hl[r],P-mul(hl[l-1],pw[r-l+1]))==add(hr[l],P-mul(hr[r+1],pw[r-l+1]));
}
int main()
{
scanf("%d%d",&n,&q);
scanf("%s",s+1);
pw[0]=1;
for(int i=1;i<=n;i++)
pw[i]=mul(pw[i-1],bs);
for(int i=1;i<=n;i++)
hl[i]=add(mul(hl[i-1],bs),s[i]);
for(int i=n;i>=1;i--)
hr[i]=add(mul(hr[i+1],bs),s[i]);
while(q--)
{
int l,r;
scanf("%d%d",&l,&r);
if(chk(l,r))
puts("Budada");
else
{
int len=r-l+1;
puts(len&1?"Putata":"Budada");
}
}
}
J. Frog
#include<bits/stdc++.h>
using namespace std;
double pi=acos(-1.);
struct point
{
double x,y;
point operator+(const point &p)const{return {x+p.x,y+p.y};}
point operator-(const point &p)const{return {x-p.x,y-p.y};}
point operator*(const double k)const{return {x*k,y*k};}
point operator/(const double k)const{return {x/k,y/k};}
point turn90()const{return {-y,x};}
point turn(const double d)const{return {x*cos(d)-y*sin(d),x*sin(d)+y*cos(d)};}
point flip()const{return {x,-y};}
double abs()const{return hypot(x,y);}
double abs2()const{return x*x+y*y;}
point unit()const{return *this/abs();}
};
point getmid(const point &A,const point &B)
{
point del=B-A;
point mid=(A+B)/2.;
point t=del.unit().turn90()*(sqrt(1.-del.abs2()/4.));
point C=mid+t,D=mid-t;
if(C.abs2()>D.abs2())return C;
return D;
}
int main()
{
ios_base::sync_with_stdio(false);
int T;
cin>>T;
while(T--)
{
int a,b;
cin>>a>>b;
double turn=pi*a/180;
b-=a;
if(b<0)b+=360;
int flip=0;
if(b>180)flip=1,b=360-b;
vector<point> ans;
point start{1.,0.},end{cos(b*pi/180.),sin(b*pi/180.)};
ans.push_back(start);
if(b==0)
{
}
else if(b<=90)
{
ans.push_back(getmid(start,end));
ans.push_back(end);
}
else if(b<=131)
{
ans.push_back({1.,1.});
ans.push_back(getmid({1.,1.},end));
ans.push_back(end);
}
else
{
ans.push_back({1.,1.});
ans.push_back({0.,1.});
ans.push_back(getmid({0.,1.},end));
ans.push_back(end);
}
for(auto &z:ans)
{
if(flip)z=z.flip();
z=z.turn(turn);
}
cout<<ans.size()-1<<endl;
for(auto z:ans)
{
cout<<fixed<<setprecision(10)<<z.x<<' '<<z.y<<endl;
}
}
return 0;
}
K. Dynamic Reachability
#include<cstdio>
#include<vector>
#include<algorithm>
using namespace std;
typedef unsigned long long ull;
const int N=50005,M=100005,Q=100005,K=7,CNT=K*64+5;
int n,m,q,i,j,k,l,r,x,y,t,op[Q][3];
int id[N],at[CNT],cnt,pool[CNT];
bool vis[N];int scc,from[N],s[N];
ull mask[N][K],f[CNT][K],F[CNT][K],now[K];
vector<int>g[N],h[N];
struct E{
int u,v;
bool active,mark;
}e[M];
inline void mark(int x){
if(~id[x])return;
at[cnt]=x;
id[x]=cnt++;
}
inline bool bfs(int S,int T){
int h,t,i;
static ull vis[K];
for(i=0;i<K;i++)vis[i]=0;
for(i=0;i<cnt;i++)if(i!=S)vis[i>>6]^=1ULL<<(i&63);
pool[h=t=0]=S;
while(h<=t){
int x=pool[h++];
if(x==T)return 1;
for(i=0;i<K;i++){
ull o=F[x][i]&vis[i];
for(vis[i]^=o;o;o-=o&-o)pool[++t]=(i<<6)+__builtin_ctzll(o);
}
}
return 0;
}
void dfs(int x){
vis[x]=1;
for(vector<int>::iterator j=h[x].begin();j!=h[x].end();j++)
if(e[*j].active&&!e[*j].mark&&!vis[e[*j].u])
dfs(e[*j].u);
s[++t]=x;
}
inline void go(int x){
static int q[N];
int h=1,t=1,i,y;
q[1]=x;
vis[x]=0;
from[x]=++scc;
for(i=0;i<K;i++)now[i]=0;
while(h<=t){
x=q[h++];
if(~id[x])now[id[x]>>6]|=1ULL<<(id[x]&63);
for(vector<int>::iterator j=g[x].begin();j!=g[x].end();j++)
if(e[*j].active&&!e[*j].mark){
y=e[*j].v;
if(vis[y]){
q[++t]=y;
vis[y]=0;
from[y]=scc;
}else if(from[y]<scc){
y=from[y];
now[0]|=mask[y][0];
now[1]|=mask[y][1];
now[2]|=mask[y][2];
now[3]|=mask[y][3];
now[4]|=mask[y][4];
now[5]|=mask[y][5];
now[6]|=mask[y][6];
}
}
}
for(i=0;i<K;i++)mask[scc][i]=now[i];
}
int main(){
scanf("%d%d%d",&n,&m,&q);
for(i=1;i<=m;i++){
scanf("%d%d",&x,&y);
g[x].push_back(i);
h[y].push_back(i);
e[i].u=x;
e[i].v=y;
e[i].active=1;
}
for(i=0;i<q;i++){
scanf("%d%d",&op[i][0],&op[i][1]);
if(op[i][0]==2)scanf("%d",&op[i][2]);
}
for(i=1;i<=n;i++)id[i]=-1;
for(l=0;l<q;l=r){
r=min(q,l+K*32);
cnt=0;
for(i=0;i<K*64;i++)at[i]=0;
for(i=l;i<r;i++){
if(op[i][0]==1){
t=op[i][1];
x=e[t].u;
y=e[t].v;
e[t].mark=1;
}else{
x=op[i][1];
y=op[i][2];
}
mark(x);
mark(y);
}
scc=t=0;
for(i=1;i<=n;i++)if(!vis[i])dfs(i);
for(i=n;i;i--)if(vis[s[i]])go(s[i]);
for(i=0;i<cnt;i++)for(k=0;k<K;k++)f[i][k]=mask[from[at[i]]][k];
for(i=l;i<r;i++)if(op[i][0]==1){
t=op[i][1];
x=e[t].u;
y=e[t].v;
e[t].active^=1;
}else{
for(j=0;j<cnt;j++)for(k=0;k<K;k++)F[j][k]=f[j][k];
for(j=l;j<r;j++)if(op[j][0]==1){
t=op[j][1];
if(e[t].active)F[id[e[t].u]][id[e[t].v]>>6]|=1ULL<<(id[e[t].v]&63);
}
puts(bfs(id[op[i][1]],id[op[i][2]])?"YES":"NO");
}
for(i=l;i<r;i++){
if(op[i][0]==1){
t=op[i][1];
x=e[t].u;
y=e[t].v;
e[t].mark=0;
}else{
x=op[i][1];
y=op[i][2];
}
id[x]=id[y]=-1;
}
}
}
L. Candy Machine
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define mp make_pair
#define data dataa
#define rep(i,n) for(int i=1;i<=n;i++)
typedef long long LL;
const int N=1000010;
int a[N],n;
int main()
{
scanf("%d",&n);
rep(i,n)scanf("%d",&a[i]);
sort(a+1,a+n+1);
int now=0,ans=0;
LL sum=0;
rep(i,n)
{
sum+=a[i];
for(;now<i&&(LL)a[now+1]*i<=sum;now++);
ans=max(ans,i-now);
}
printf("%d\n",ans);
return 0;
}
M. BpbBppbpBB
#include<bits/stdc++.h>
using namespace std;
char pattern[11][11]={"######","##..##","#....#","#....#","##..##","######"};
int main()
{
ios_base::sync_with_stdio(false);
int n,m,cnt=0,cnt2=0;
cin>>n>>m;
vector<string> str(n);
for(int i=0;i<n;i++)
{
cin>>str[i];
for(auto ch:str[i])
cnt+=(ch=='#');
}
auto check=[&](int x,int y)
{
for(int i=0;i<6;i++)
for(int j=0;j<6;j++)
{
if(str[x+i][y+j]!=pattern[i][j])
return false;
}
return true;
};
for(int i=0;i+6<n;i++)
{
for(int j=0;j+6<m;j++)
{
cnt2+=check(i,j);
}
}
//146x+100y=cnt
//2x+y=cnt2
//x=(cnt2*100-cnt)/54
long long x54=(cnt2*100ll-cnt);
assert(x54>=0 and x54%54==0);
int x=x54/54;
assert(cnt2-2*x>=0);
int y=cnt2-2*x;
cout<<x<<' '<<y<<endl;
return 0;
}
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