2018 ACM 网络选拔赛 焦作赛区
A. Magic Mirror
- #include <cstdio>
- #include <cstdlib>
- #include <cmath>
- #include <cstring>
- #include <time.h>
- #include <string>
- #include <set>
- #include <map>
- #include <list>
- #include <stack>
- #include <queue>
- #include <vector>
- #include <bitset>
- #include <ext/rope>
- #include <algorithm>
- #include <iostream>
- using namespace std;
- #define ll long long
- #define minv 1e-6
- #define inf 1e9
- #define pi 3.1415926536
- #define nl 2.7182818284
- const ll mod=1e9+;//
- const int maxn=1e2+;
- char s[maxn];
- int main()
- {
- int t,i;
- scanf("%d",&t);
- while (t--)
- {
- scanf("%s",s);
- for (i=;i<strlen(s);i++)
- if (s[i]>='a' && s[i]<='z')
- s[i]-=;
- if (strcmp(s,"JESSIE\0")==)
- printf("Good guy!\n");
- else
- printf("Dare you say that again?\n");
- }
- return ;
- }
B. Mathematical Curse
- #include <cstdio>
- #include <cstdlib>
- #include <cmath>
- #include <cstring>
- #include <time.h>
- #include <string>
- #include <set>
- #include <map>
- #include <list>
- #include <stack>
- #include <queue>
- #include <vector>
- #include <bitset>
- #include <ext/rope>
- #include <algorithm>
- #include <iostream>
- using namespace std;
- #define ll long long
- #define minv 1e-6
- #define inf 1e9
- #define pi 3.1415926536
- #define nl 2.7182818284
- const ll mod=1e9+;//
- const int maxn=1e3+;
- ll a[maxn];
- ll f[],l[],r[],LL=3e18,rr=-3e18;
- int c[];
- int main()
- {
- int t,n,m,i,j;
- scanf("%d",&t);
- while (t--)
- {
- scanf("%d%d%lld",&n,&m,&a[]);
- for (i=;i<=n;i++)
- scanf("%lld",&a[i]);
- l[]=r[]=a[];
- scanf("%c",&c[]);
- for (i=;i<=m;i++)
- {
- scanf("%c",&c[i]);
- l[i]=LL;
- r[i]=rr;
- }
- for (j=;j<=n;j++)
- {
- for (i=m;i>=;i--)
- {
- switch(c[i])
- {
- case '+':
- if (l[i-]!=LL)
- l[i]=min(l[i],l[i-]+a[j]);
- if (r[i-]!=rr)
- r[i]=max(r[i],r[i-]+a[j]);
- break;
- case '-':
- if (l[i-]!=LL)
- l[i]=min(l[i],l[i-]-a[j]);
- if (r[i-]!=rr)
- r[i]=max(r[i],r[i-]-a[j]);
- break;
- case '*':
- if (l[i-]!=LL)
- l[i]=min(l[i],min(l[i-]*a[j],r[i-]*a[j]));
- if (r[i-]!=rr)
- r[i]=max(r[i],max(l[i-]*a[j],r[i-]*a[j]));
- break;
- case '/':
- if (a[j]!=)
- {
- if (l[i-]!=LL)
- l[i]=min(l[i],min(l[i-]/a[j],r[i-]/a[j]));
- if (r[i-]!=rr)
- r[i]=max(r[i],max(l[i-]/a[j],r[i-]/a[j]));
- }
- break;
- }
- }
- }
- printf("%lld\n",r[m]);
- }
- return ;
- }
- /*
- 3
- 5 5 1000
- 1000 1000 1000 1000 1000
- *****
- 5 5 1000
- -1000 -1000 -1000 -1000 -1000
- *****
- */
E. Jiu Yuan Wants to Eat
- #include <cstdio>
- #include <cstdlib>
- #include <cmath>
- #include <cstring>
- #include <time.h>
- #include <string>
- #include <set>
- #include <map>
- #include <list>
- #include <stack>
- #include <queue>
- #include <vector>
- #include <bitset>
- #include <ext/rope>
- #include <algorithm>
- #include <iostream>
- using namespace std;
- #define ll long long
- #define ull unsigned long long
- #define minv 1e-6
- #define inf 1e9
- #define pi 3.1415926536
- #define nl 2.7182818284
- const int maxn=1e5+;
- vector<int>e[maxn];
- int fa[maxn],num;
- int dep[maxn],siz[maxn],son[maxn],top[maxn];
- int id[maxn];
- bool vis[maxn];
- int n;
- ull add[maxn<<],mul[maxn<<],sum[maxn<<];
- void dfs1(int d,int deep)
- {
- vector<int>::iterator j;
- int dd;
- vis[d]=;
- siz[d]=;
- dep[d]=deep;
- son[d]=;
- for (j=e[d].begin();j!=e[d].end();j++)
- {
- dd=*j;
- if (!vis[dd])
- {
- fa[dd]=d;
- dfs1(dd,deep+);
- siz[d]+=siz[dd];
- if (siz[dd]>siz[son[d]])
- son[d]=dd;
- }
- }
- }
- void dfs2(int d,int topd)
- {
- vector<int>::iterator j;
- int dd;
- id[d]=++num;
- top[d]=topd;
- if (son[d]!=)
- {
- dfs2(son[d],topd);
- for (j=e[d].begin();j!=e[d].end();j++)
- {
- dd=*j;
- if (fa[d]!=dd && son[d]!=dd)
- dfs2(dd,dd);
- }
- }
- }
- void build(int index,int l,int r)
- {
- add[index]=;
- mul[index]=;
- sum[index]=;
- if (l!=r)
- {
- int m=(l+r)>>;
- build(index<<,l,m);
- build(index<<|,m+,r);
- }
- }
- void push_down(int index,int len)
- {
- ///(xx*a+b)*c+d
- add[index<<]=add[index<<]*mul[index]+add[index];
- add[index<<|]=add[index<<|]*mul[index]+add[index];
- mul[index<<]=mul[index<<]*mul[index];
- mul[index<<|]=mul[index<<|]*mul[index];
- sum[index<<]=sum[index<<]*mul[index]+add[index]*((len+)>>); ///
- sum[index<<|]=sum[index<<|]*mul[index]+add[index]*(len>>);
- add[index]=;
- mul[index]=;
- }
- void update_add(int index,int l,int r,int x,int y,ull k)
- {
- if (x<=l && r<=y)
- {
- sum[index]+=k*(r-l+);
- add[index]+=k;
- return;
- }
- if (add[index]!= || mul[index]!=)
- push_down(index,r-l+);
- int m=(l+r)>>;
- if (x<=m)
- update_add(index<<,l,m,x,y,k);
- if (m<y)
- update_add(index<<|,m+,r,x,y,k);
- sum[index]=sum[index<<]+sum[index<<|]; ///
- }
- void update_mul(int index,int l,int r,int x,int y,ull k)
- {
- if (x<=l && r<=y)
- {
- sum[index]*=k;
- add[index]*=k;
- mul[index]*=k;
- return;
- }
- if (add[index]!= || mul[index]!=)
- push_down(index,r-l+);
- int m=(l+r)>>;
- if (x<=m)
- update_mul(index<<,l,m,x,y,k);
- if (m<y)
- update_mul(index<<|,m+,r,x,y,k);
- sum[index]=sum[index<<]+sum[index<<|];
- }
- ull query(int index,int l,int r,int x,int y)
- {
- if (x<=l && r<=y)
- return sum[index];
- if (x>r || y<l)
- return ;
- if (add[index]!= || mul[index]!=)
- push_down(index,r-l+);
- int m=(l+r)>>;
- return query(index<<,l,m,x,y)+query(index<<|,m+,r,x,y);
- }
- void work1(int x,int y,ull k)
- {
- while (top[x]!=top[y])
- {
- if (dep[top[x]]<dep[top[y]])
- swap(x,y);
- update_mul(,,n,id[top[x]],id[x],k);
- x=fa[top[x]];
- }
- if (dep[x]<dep[y])
- swap(x,y);
- update_mul(,,n,id[y],id[x],k);
- }
- void work2(int x,int y,ull k)
- {
- while (top[x]!=top[y])
- {
- if (dep[top[x]]<dep[top[y]])
- swap(x,y);
- update_add(,,n,id[top[x]],id[x],k);
- x=fa[top[x]];
- }
- if (dep[x]<dep[y])
- swap(x,y);
- update_add(,,n,id[y],id[x],k);
- }
- void work3(int x,int y)
- {
- while (top[x]!=top[y])
- {
- if (dep[top[x]]<dep[top[y]])
- swap(x,y);
- update_mul(,,n,id[top[x]],id[x],-);
- update_add(,,n,id[top[x]],id[x],-);
- x=fa[top[x]];
- }
- if (dep[x]<dep[y])
- swap(x,y);
- update_mul(,,n,id[y],id[x],-);
- update_add(,,n,id[y],id[x],-);
- }
- ull work4(int x,int y)
- {
- ull tot=;
- while (top[x]!=top[y])
- {
- if (dep[top[x]]<dep[top[y]])
- swap(x,y);
- tot+=query(,,n,id[top[x]],id[x]);
- x=fa[top[x]];
- }
- if (dep[x]<dep[y])
- swap(x,y);
- tot+=query(,,n,id[y],id[x]);
- return tot;
- }
- int main()
- {
- int i,a,u,v,q,mode;
- ull x;
- while (~scanf("%d",&n))
- {
- for (i=;i<=n;i++)
- e[i].clear();
- memset(vis,,sizeof(vis));
- for (i=;i<=n;i++)
- {
- scanf("%d",&a);
- e[a].push_back(i);
- }
- dfs1(,);
- num=;
- dfs2(,);
- build(,,n);
- scanf("%d",&q);
- while (q--)
- {
- scanf("%d",&mode);
- if (mode==)
- {
- scanf("%d%d%llu",&u,&v,&x);
- work1(u,v,x);
- }
- else if (mode==)
- {
- scanf("%d%d%llu",&u,&v,&x);
- work2(u,v,x);
- }
- else if (mode==)
- {
- scanf("%d%d",&u,&v);
- work3(u,v);
- }
- else
- {
- scanf("%d%d",&u,&v);
- printf("%llu\n",work4(u,v));
- }
- }
- }
- return ;
- }
- /*
- 7
- 1 1 1 2 2 4
- 5
- 2 5 6 1
- 1 1 6 2
- 4 5 6
- 3 5 2
- 4 2 2
- 2
- 1
- 4
- 3 1 2
- 4 1 2
- 3 1 1
- 4 1 1
- 7
- 1 1 1 2 2 4
- 5
- 2 5 6 1
- 1 1 6 2
- 4 5 6
- 3 5 2
- 4 2 2
- 2
- 1
- 4
- 3 1 2
- 4 1 2
- 3 1 1
- 4 1 1
- 11
- 1 1 2 2 2 3 3 8 9 9
- 10
- 2 4 10 3
- 4 1 3
- 4 6 11
- */
F. Modular Production Line
G. Give Candies
- #include <cstdio>
- #include <cstdlib>
- #include <cmath>
- #include <cstring>
- #include <time.h>
- #include <string>
- #include <set>
- #include <map>
- #include <list>
- #include <stack>
- #include <queue>
- #include <vector>
- #include <bitset>
- #include <ext/rope>
- #include <algorithm>
- #include <iostream>
- using namespace std;
- #define ll long long
- #define minv 1e-6
- #define inf 1e9
- #define pi 3.1415926536
- #define nl 2.7182818284
- const ll mod=1e9+;//
- const int maxn=1e5+;
- char s[maxn];
- int a[maxn];
- int main()
- {
- int t,len,i;
- ll x,y,z;
- scanf("%d",&t);
- while (t--)
- {
- scanf("%s",s);
- len=strlen(s);
- for (i=;i<=len;i++)
- a[i]=s[len-i]-;
- x=;
- for (i=len;i>=;i--)
- x=(x*+a[i])%(mod-);
- x=(x-+mod-)%(mod-);
- y=;
- z=;
- while (x)
- {
- if (x & )
- z=z*y%mod;
- x>>=;
- y=y*y%mod;
- }
- printf("%lld\n",z);
- }
- return ;
- }
H. String and Times
I. Save the Room
- #include <cstdio>
- #include <cstdlib>
- #include <cmath>
- #include <cstring>
- #include <time.h>
- #include <string>
- #include <set>
- #include <map>
- #include <list>
- #include <stack>
- #include <queue>
- #include <vector>
- #include <bitset>
- #include <ext/rope>
- #include <algorithm>
- #include <iostream>
- using namespace std;
- #define ll long long
- #define minv 1e-6
- #define inf 1e9
- #define pi 3.1415926536
- #define nl 2.7182818284
- const ll mod=1e9+;//
- const int maxn=1e2+;
- int main()
- {
- int x,y,z;
- while (~scanf("%d%d%d",&x,&y,&z))
- {
- if (x%== && y%== && z%==)
- printf("No\n");
- else
- printf("Yes\n");
- }
- return ;
- }
J. Participate in E-sports
1. 不同方法时间上的比较 二分和另外一种方法 (l=(l+n/l)/2 )
其实还有倍增2^k(是否加)-> 2^(k-1)(是否加)-> 2^(k-2)(是否加)… 用加法代替二分的除法,应该会快一点。。。
- #include <cstdio>
- #include <cstdlib>
- #include <cmath>
- #include <cstring>
- #include <time.h>
- #include <string>
- #include <set>
- #include <map>
- #include <list>
- #include <stack>
- #include <queue>
- #include <vector>
- #include <bitset>
- #include <ext/rope>
- #include <algorithm>
- #include <iostream>
- using namespace std;
- #define ll long long
- #define minv 1e-6
- #define inf 1e9
- #define pi 3.1415926536
- #define nl 2.7182818284
- const ll mod=1e9+;//
- const int maxn=1e5+;
- int main()
- {
- ll n=;
- ll l,r,m,v;
- int x=,y=;
- bool vis;
- r=n;
- while ()
- {
- x++;
- if (r*r==n)
- {
- vis=;
- break;
- }
- l=n/r;
- if (l==r)
- {
- vis=;
- break;
- }
- r=(l+r)>>;
- }
- l=; r=n;
- while ()
- {
- y++;
- m=(l+r)>>;
- v=m*m;
- if (v==n)
- {
- vis=;
- break;
- }
- if (l==r)
- break;
- if (v<n)
- l=m+;
- else
- r=m-;
- }
- printf("%d %d",x,y);
- return ;
- }
- /*
- 100
- 10 13
- 123456789
- 17 27
- */
2.n*(n+1)/2 的找规律
- #include <cstdio>
- #include <cstdlib>
- #include <cmath>
- #include <cstring>
- #include <time.h>
- #include <string>
- #include <set>
- #include <map>
- #include <list>
- #include <stack>
- #include <queue>
- #include <vector>
- #include <bitset>
- #include <ext/rope>
- #include <algorithm>
- #include <iostream>
- using namespace std;
- #define ll long long
- #define minv 1e-10
- #define inf 1e9
- #define pi 3.1415926536
- #define nl 2.7182818284
- const ll mod=1e9+;//
- const int maxn=1e5+;
- int main()
- {
- ll i;
- double v;
- for (i=;i<=;i++)
- {
- v=sqrt(i*(i+)/);
- if (fabs(v-(ll)v)<minv)
- printf("%lld\n",i);
- }
- return ;
- }
前一半:二分
后一半:找规律,打表。记录index每一个长度(二进制)都有哪些值
- import java.math.BigInteger;
- import java.util.Scanner;
- public class Main {
- public static void main(String[] args) {
- boolean vis1,vis2;
- Scanner in=new Scanner(System.in);
- BigInteger b2=BigInteger.valueOf();
- BigInteger b1=BigInteger.valueOf();
- BigInteger b0=BigInteger.valueOf();
- BigInteger []f=new BigInteger[];
- int [][]num=new int[][];
- String s100=new String();
- BigInteger b100;
- int i,j,k,len,q,v;
- BigInteger n,l,r,m;
- s100=s100+"";
- for (i=;i<=;i++)
- s100=s100+"";
- b100=new BigInteger(s100);
- ///100位以内就可以,因为还要平方
- f[]=BigInteger.valueOf();
- f[]=BigInteger.valueOf();
- i=;
- while (true)
- {
- f[i]=f[i-].multiply(BigInteger.valueOf()).subtract(f[i-]);
- if (f[i].compareTo(b100)>)
- break;
- i++;
- }
- for (j=;j<=i-;j++)
- {
- f[j]=f[j].multiply(f[j]).add(b1);
- len=f[j].bitLength();
- num[len][]++;
- num[len][num[len][]]=j;
- }
- f[i]=BigInteger.valueOf(); //index=1
- len=f[i].bitLength();
- num[len][]++;
- num[len][num[len][]]=i;
- k=i+;
- f[i+]=BigInteger.valueOf();
- f[i+]=BigInteger.valueOf();
- i+=;
- while (true)
- {
- f[i]=f[i-].multiply(BigInteger.valueOf()).subtract(f[i-]);
- if (f[i].compareTo(b100)>)
- break;
- i++;
- }
- for (j=k;j<=i-;j++)
- {
- f[j]=f[j].multiply(f[j]);
- len=f[j].bitLength();
- num[len][]++;
- num[len][num[len][]]=j;
- }
- q=in.nextInt();
- while (q-->)
- {
- n=in.nextBigInteger();
- vis1=false;
- l=b1; r=n;
- while (l.compareTo(r)<=)
- {
- m=l.add(r).divide(b2);
- v=m.multiply(m).compareTo(n);
- if (v==)
- {
- vis1=true;
- break;
- }
- if (v<)
- l=m.add(b1);
- else
- r=m.subtract(b1);
- }
- vis2=false;
- len=n.bitLength();
- for (i=;i<=num[len][];i++)
- if (n.equals(f[num[len][i]])==true)
- {
- vis2=true;
- break;
- }
- if (vis1 && vis2)
- System.out.println("Arena of Valor");
- else if (vis1 && !vis2)
- System.out.println("Hearth Stone");
- else if (!vis1 && vis2)
- System.out.println("Clash Royale");
- else
- System.out.println("League of Legends");
- }
- }
- }
- /*
- 272796309905283809401
- 2391711738256
- */
P.S:
队友求模小质数。过了~
K. Transport Ship
- #include <cstdio>
- #include <cstdlib>
- #include <cmath>
- #include <cstring>
- #include <time.h>
- #include <string>
- #include <set>
- #include <map>
- #include <list>
- #include <stack>
- #include <queue>
- #include <vector>
- #include <bitset>
- #include <ext/rope>
- #include <algorithm>
- #include <iostream>
- using namespace std;
- #define ll long long
- #define minv 1e-6
- #define inf 1e9
- #define pi 3.1415926536
- #define nl 2.7182818284
- const ll mod=1e9+;//
- const int maxn=1e4+;
- ll er[],value=1e4;
- ll f[maxn];
- int main()
- {
- int t,n,q,i,j,v,c;
- scanf("%d",&t);
- er[]=;
- for (i=;i<=;i++)
- er[i]=er[i-]<<;
- while (t--)
- {
- f[]=;
- for (i=;i<=value;i++)
- f[i]=;
- scanf("%d%d",&n,&q);
- while (n--)
- {
- scanf("%d%d",&v,&c);
- for (i=;i<c;i++)
- for (j=value;j>=er[i]*v;j--)
- f[j]=(f[j]+f[j-er[i]*v])%mod;
- }
- while (q--)
- {
- scanf("%d",&i);
- printf("%lld\n",f[i]);
- }
- }
- return ;
- }
L. Poor God Water
- #include <cstdio>
- #include <cstdlib>
- #include <cmath>
- #include <cstring>
- #include <time.h>
- #include <string>
- #include <set>
- #include <map>
- #include <list>
- #include <stack>
- #include <queue>
- #include <vector>
- #include <bitset>
- #include <ext/rope>
- #include <algorithm>
- #include <iostream>
- using namespace std;
- #define ll long long
- #define minv 1e-6
- #define inf 1e9
- #define pi 3.1415926536
- #define nl 2.7182818284
- const ll mod=1e9+;//
- const int maxn=1e2+;
- ll a[][],b[][],c[][];
- void init()
- {
- int i,j;
- for (i=;i<;i++)
- for (j=;j<;j++)
- a[i][j]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- a[][]=;
- for (i=;i<;i++)
- for (j=;j<;j++)
- b[i][j]=;
- for (i=;i<;i++)
- b[i][i]=;
- for (i=;i<;i++)
- for (j=;j<;j++)
- c[i][j]=;
- }
- int main()
- {
- ///%mod
- ///<3
- ll n,r;
- int t,i,j,k;
- // init();
- // for (i=0;i<9;i++)
- // for (j=0;j<9;j++)
- // for (k=0;k<9;k++)
- // c[i][j]=(c[i][j]+a[i][k]*a[k][j])%mod;
- // r=0;
- // for (i=0;i<9;i++)
- // for (j=0;j<9;j++)
- // r=(r+c[i][j])%mod;
- //
- // printf("%d\n",r);
- // return 0;
- ///b:danwei result
- ///a:***
- scanf("%d",&t);
- while (t--)
- {
- init();
- scanf("%lld",&n);
- if (n==)
- printf("3\n");
- else
- {
- n-=;
- while (n)
- {
- if (n & )
- {
- for (i=;i<;i++)
- for (j=;j<;j++)
- {
- c[i][j]=b[i][j];
- b[i][j]=;
- }
- for (i=;i<;i++)
- for (j=;j<;j++)
- for (k=;k<;k++)
- b[i][j]=(b[i][j]+a[i][k]*c[k][j])%mod;
- }
- for (i=;i<;i++)
- for (j=;j<;j++)
- {
- c[i][j]=a[i][j];
- a[i][j]=;
- }
- for (i=;i<;i++)
- for (j=;j<;j++)
- for (k=;k<;k++)
- a[i][j]=(a[i][j]+c[i][k]*c[k][j])%mod;
- n>>=;
- }
- r=;
- for (i=;i<;i++)
- for (j=;j<;j++)
- r=(r+b[i][j])%mod;
- printf("%lld\n",r);
- }
- }
- return ;
- }
- /*
- 3
- 9
- 20
- 46
- 106
- 244
- 560
- 1286
- 2956
- 6794
- 15610
- 35866
- 82416
- 189384
- 435170
- */
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