A:签到
#include<iostream> #include<cstdio> #include<cmath> #include<cstdlib> #include<cstring> #include<algorithm> using namespace std; #define ll long long #define N 110 char getc(){char c=getchar();while ((c<'A'||c>'Z')&&(c<'a'||c>'z')&&(c<'0'||c>'9')) c=getchar();return c;} int gcd(int n,int m){return m==0?n:gcd(m,n%m);} int read() { int x=0,f=1;char c=getchar(); while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();} while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar(); return x*f; } int n,cnt[N]; signed main() { /*#ifndef ONLINE_JUDGE freopen("a.in","r",stdin); freopen("a.out","w",stdout); const char LL[]="%I64d\n"; #endif*/ n=read(); for (int i=1;i<=n;i++) { int m=read(); while (m--) cnt[read()]++; } for (int i=1;i<=100;i++) if (cnt[i]==n) cout<<i<<' '; return 0; //NOTICE LONG LONG!!!!! }
B:考虑模意义下每个数的贡献即可。
#include<iostream> #include<cstdio> #include<cmath> #include<cstdlib> #include<cstring> #include<algorithm> using namespace std; #define ll long long #define N 1100 char getc(){char c=getchar();while ((c<'A'||c>'Z')&&(c<'a'||c>'z')&&(c<'0'||c>'9')) c=getchar();return c;} int gcd(int n,int m){return m==0?n:gcd(m,n%m);} int read() { int x=0,f=1;char c=getchar(); while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();} while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar(); return x*f; } int n,m,cnt[N]; ll ans; signed main() { /*#ifndef ONLINE_JUDGE freopen("a.in","r",stdin); freopen("a.out","w",stdout); const char LL[]="%I64d\n"; #endif*/ n=read(),m=read(); for (int i=1;i<=m;i++) cnt[i*i%m]+=n/m+(n%m>=i); ans=1ll*cnt[0]*cnt[0]; for (int i=1;i<m;i++) ans+=1ll*cnt[i]*cnt[m-i]; cout<<ans; return 0; //NOTICE LONG LONG!!!!! }
C:如果上一轮对方选择了某一组英雄中的一个,而另一个还没被选,显然只能选择他。否则显然应该先把每一组英雄中价值较大的选中,这样对方必须选择另一个,最后再将剩余英雄从大到小选取即可。
#include<iostream> #include<cstdio> #include<cmath> #include<cstdlib> #include<cstring> #include<algorithm> using namespace std; #define ll long long #define N 2100 char getc(){char c=getchar();while ((c<'A'||c>'Z')&&(c<'a'||c>'z')&&(c<'0'||c>'9')) c=getchar();return c;} int gcd(int n,int m){return m==0?n:gcd(m,n%m);} int read() { int x=0,f=1;char c=getchar(); while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();} while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar(); return x*f; } int n,m,a[N<<1],match[N<<1],cnt; bool flag[N<<1]; signed main() { /*#ifndef ONLINE_JUDGE freopen("a.in","r",stdin); freopen("a.out","w",stdout); const char LL[]="%I64d\n"; #endif*/ n=read(),m=read(); for (int i=1;i<=2*n;i++) a[i]=read(); for (int i=1;i<=m;i++) { int x=read(),y=read(); match[x]=y,match[y]=x; } int t=read(),x=0; if (t==2) {x=read();flag[x]=1;cnt++;} while (cnt<2*n) { if (match[x]&&!flag[match[x]]) cout<<match[x]<<endl,flag[match[x]]=1,cnt++; else { bool f=0; for (int i=1;i<=2*n;i++) if (match[i]&&!flag[i]) { if (a[i]>a[match[i]]) cout<<i<<endl,flag[i]=1,cnt++; else cout<<match[i]<<endl,flag[match[i]]=1,cnt++; f=1; break; } if (!f) { int u=0; for (int i=1;i<=2*n;i++) if (!flag[i]&&a[i]>a[u]) u=i; cout<<u<<endl,flag[u]=1,cnt++; } } if (cnt==2*n) break; x=read();flag[x]=1;cnt++; } return 0; //NOTICE LONG LONG!!!!! }
D:大胆猜想答案等于子树内叶子数量。
#include<iostream> #include<cstdio> #include<cmath> #include<cstdlib> #include<cstring> #include<algorithm> using namespace std; #define ll long long #define N 100010 char getc(){char c=getchar();while ((c<'A'||c>'Z')&&(c<'a'||c>'z')&&(c<'0'||c>'9')) c=getchar();return c;} int gcd(int n,int m){return m==0?n:gcd(m,n%m);} int read() { int x=0,f=1;char c=getchar(); while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();} while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar(); return x*f; } int n,fa[N],size[N],p[N],t; struct data{int to,nxt; }edge[N<<1]; void addedge(int x,int y){t++;edge[t].to=y,edge[t].nxt=p[x],p[x]=t;} void dfs(int k) { size[k]=(p[k]==0); for (int i=p[k];i;i=edge[i].nxt) { dfs(edge[i].to); size[k]+=size[edge[i].to]; } } signed main() { /*#ifndef ONLINE_JUDGE freopen("a.in","r",stdin); freopen("a.out","w",stdout); const char LL[]="%I64d\n"; #endif*/ n=read(); for (int i=2;i<=n;i++) fa[i]=read(),addedge(fa[i],i); dfs(1); sort(size+1,size+n+1); for (int i=1;i<=n;i++) printf("%d ",size[i]); return 0; //NOTICE LONG LONG!!!!! }
E:暴力枚举0串的长度,显然1串的长度可以由此确定,然后哈希暴力匹配判断即可。复杂度大约线性。
#include<iostream> #include<cstdio> #include<cmath> #include<cstdlib> #include<cstring> #include<algorithm> using namespace std; #define ll long long #define int long long #define N 2000010 char getc(){char c=getchar();while ((c<'A'||c>'Z')&&(c<'a'||c>'z')&&(c<'0'||c>'9')) c=getchar();return c;} int gcd(int n,int m){return m==0?n:gcd(m,n%m);} int read() { int x=0,f=1;char c=getchar(); while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();} while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar(); return x*f; } int n,m,cnt0,cnt1,ans,Hash[2][N],P[2],Q[2][N]; char a[N],b[N]; int get(int x,int y,int op) { return (Hash[op][y]-1ll*Hash[op][x-1]*Q[op][y-x+1]%P[op]+P[op])%P[op]; } signed main() { /*#ifndef ONLINE_JUDGE freopen("a.in","r",stdin); freopen("a.out","w",stdout); const char LL[]="%I64d\n"; #endif*/ scanf("%s",a+1);n=strlen(a+1); scanf("%s",b+1);m=strlen(b+1); for (int i=1;i<=n;i++) if (a[i]=='0') cnt0++;else cnt1++; P[0]=1000000007,P[1]=19260817; for (int i=1;i<=m;i++) Hash[0][i]=(Hash[0][i-1]*509ll+b[i])%P[0]; for (int i=1;i<=m;i++) Hash[1][i]=(Hash[1][i-1]*509ll+b[i])%P[1]; Q[0][0]=Q[1][0]=1; for (int i=1;i<=m;i++) Q[0][i]=Q[0][i-1]*509ll%P[0]; for (int i=1;i<=m;i++) Q[1][i]=Q[1][i-1]*509ll%P[1]; for (int i=1;i<=m;i++) if (m>cnt0*i&&(m-cnt0*i)%cnt1==0) { int j=(m-cnt0*i)/cnt1; int cur=1,pos0=0,pos1=0; for (int x=1;x<=n;x++) if (a[x]=='0') pos0=cur,cur+=i; else pos1=cur,cur+=j; cur=1;int tot=1; if (i==j) { tot=0; for (int x=1;x<=i;x++) if (b[pos0+x-1]!=b[pos1+x-1]) {tot=1;break;} } if (tot==0) continue; for (int x=1;x<=n;x++) if (a[x]=='0') { tot=(get(cur,cur+i-1,0)==get(pos0,pos0+i-1,0)&&get(cur,cur+i-1,1)==get(pos0,pos0+i-1,1)); cur+=i; if (tot==0) break; } else { tot=(get(cur,cur+j-1,0)==get(pos1,pos1+j-1,0)&&get(cur,cur+j-1,1)==get(pos1,pos1+j-1,1)); cur+=j; if (tot==0) break; } ans+=tot; } cout<<ans; return 0; //NOTICE LONG LONG!!!!! }
F:先不考虑training。显然如果确定了切题集合,应该按照难度从高到低做。于是按难度从高到低排序,设f[i][j][k]为前i个题切j个,得到的分数和为k时的最小耗时。复杂度T*10*n^3。training时间可以三分,但套上去就多了个log跑不过了。事实上training时间不影响决策,并且有training后可以直接算出答案,dp完解方程即可。
#include<iostream> #include<cstdio> #include<cmath> #include<cstdlib> #include<cstring> #include<algorithm> using namespace std; #define ll long long #define N 110 #define inf 10000000000000000 char getc(){char c=getchar();while ((c<'A'||c>'Z')&&(c<'a'||c>'z')&&(c<'0'||c>'9')) c=getchar();return c;} int gcd(int n,int m){return m==0?n:gcd(m,n%m);} int read() { int x=0,f=1;char c=getchar(); while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();} while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar(); return x*f; } int T,n; const double eps=1E-8; double c,t,f[N][N][N*10],p[N]; struct data { int x,y; bool operator <(const data&a) const { return x>a.x; } }a[N]; double work(double a,double b,double c) { return (-b+sqrt(b*b-4*a*c))/(2*a); } int calc() { for (int i=n*10;i>=0;i--) for (int j=0;j<=n;j++) {//c*x^2+(1-c(t-10*j))x+f[j][i]-(t-10*j) double u=max(0.0,work(c,1-c*(t-10*j),f[n][j][i]+10*j-t)); if (f[n][j][i]/(u*c+1)+10*j+u<=t+eps) return i; } } signed main() { #ifndef ONLINE_JUDGE freopen("f.in","r",stdin); freopen("f.out","w",stdout); const char LL[]="%I64d\n"; #endif T=read(); p[0]=1;for (int i=1;i<=100;i++) p[i]=p[i-1]*0.9; while (T--) { n=read(); cin>>c>>t; for (int i=1;i<=n;i++) a[i].x=read(),a[i].y=read(); sort(a+1,a+n+1); for (int i=0;i<=n;i++) for (int j=0;j<=n;j++) for (int k=0;k<=n*10;k++) f[i][j][k]=inf; f[0][0][0]=0; for (int i=1;i<=n;i++) for (int j=0;j<=i;j++) for (int k=0;k<=j*10;k++) { f[i][j][k]=f[i-1][j][k]; if (k>=a[i].y&&j) f[i][j][k]=min(f[i][j][k],f[i-1][j-1][k-a[i].y]+a[i].x/p[j]); } printf("%d\n",calc()); } return 0; //NOTICE LONG LONG!!!!! }
剩下的先咕着。