直播获奖
思路:
留意数据范围,每个人的成绩在之间,可以用树状数组当桶来存每个分数的数量,然后利用二分来找到第k名对应的分数,二分满足单调性,虽然不连续,但最后一次比需要的分数大的分数就是答案。
code:
#include <bits/stdc++.h> using namespace std; typedef long long ll; const int maxn = 1e5+7; inline ll read() { ll s = 0, w = 1; char ch = getchar(); while (ch < 48 || ch > 57) { if (ch == '-') w = -1; ch = getchar(); } while (ch >= 48 && ch <= 57) s = (s << 1) + (s << 3) + (ch ^ 48), ch = getchar(); return s * w; } int Max(int a,int b){ return a>=b?a:b; } int tree[600],ans[maxn],b; #define lowbit(x) ((x)&-(x)) void add(int x,int d) { while(x<=600) { tree[x]+=d; x+=lowbit(x); } } int sum(int x) { int sum=0; while(x) { sum+=tree[x]; x-=lowbit(x); } return sum+b; } int findpos(int x) { int l=0,r=600; while(l<r) { int mid=(l+r)>>1; if(sum(mid)<x) l=mid+1; else r=mid; } return l; } int main() { int n=read(),w=read(); for(int i=1,x,ran;i<=n;++i) { x=read(),ran=Max(1,i*w/100); if(x) add(x,1); else ++b; printf("%d ",findpos(i-ran+1)); } return 0; }
方格取数
思路:
dp,只能走往左、右、下走而且不能走后头路,也就是只能往右下,右上走,所以每次先往右走,然后从下往上走一遍,再从上往下走一遍取最大值。
code:
#include <bits/stdc++.h> using namespace std; typedef long long ll; const int maxn = 1e3+7,inf=0x3f3f3f3f; inline ll read() { ll s = 0, w = 1; char ch = getchar(); while (ch < 48 || ch > 57) { if (ch == '-') w = -1; ch = getchar(); } while (ch >= 48 && ch <= 57) s = (s << 1) + (s << 3) + (ch ^ 48), ch = getchar(); return s * w; } ll g[maxn][maxn],f[maxn][maxn],a[maxn][maxn]; int main() { int n=read(),m=read(); for(int i=1;i<=n;++i) for(int j=1;j<=m;++j) { a[i][j]=read(); g[i][j]=f[i][j]=-inf; } for(int j=1;j<=m;++j) { g[0][j]=f[0][j]=-inf; g[n+1][j]=-inf; } for(int i=1;i<=n;++i) { f[i][0]=-inf; } f[1][1]=a[1][1]; for(int j=1;j<=m;++j) { for(int i=1;i<=n;++i) g[i][j]=f[i][j]=max(f[i][j],f[i][j-1]+a[i][j]);//left for(int i=1;i<=n;++i) f[i][j]=max(f[i][j],f[i-1][j]+a[i][j]); for(int i=n;i;--i) g[i][j]=max(g[i][j],g[i+1][j]+a[i][j]); for(int i=1;i<=n;++i) f[i][j]=max(f[i][j],g[i][j]); } printf("%lld\n",f[n][m]); return 0; }