多观察题目性质:0919T3

本文搬运自本人高中时期CSDN博客,若图片加载不出来,可到原文查看:https://blog.csdn.net/zhangtingxiqwq/article/details/133047414

http://cplusoj.com/d/senior/p/SS230919C

本题难点在于观察题目性质

对于 p=1p=1 ,必然只能放在自己本身

对于 p=2p=2 ,首先必然满足对称性

满足对称性后,在往中间扩散时,必然更劣

所以必然其中以一边为1

然后就可以上树状数组了

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#include<bits/stdc++.h>
using namespace std;
#define int long long
inline int read(){int x=0,f=1;char ch=getchar(); while(ch<'0'||
ch>'9'){if(ch=='-')f=-1;ch=getchar();}while(ch>='0'&&ch<='9'){
x=(x<<1)+(x<<3)+(ch^48);ch=getchar();}return x*f;}
#define Z(x) (x)*(x)
#define pb push_back
//mt19937 rand(time(0));
//mt19937_64 rand(time(0));
//srand(time(0));
#define N 1000010
//#define M
//#define mo
//struct node {
// int x, y, id;
//}crx[N], f[N];
int crx[N], f[N], rk[N];
int n, m, i, j, k, T;
int ans[N], a[N], b[N], c[N], p;
int e[N], d[N], s[N], l, r, len;
map<int, int>mp;

inline void UP(int *a, int n) {
int bbbb[N], i, j;
for(i=1; i<=n; ++i) crx[i]=a[i];
sort(crx+1, crx+n+1);
for(i=1; i<=n; ++i) a[i]=lower_bound(crx+1, crx+n+1, a[i])-crx;
}

struct Tree_Zhuang_Number_Group {
int cnt[N], i, ans, n;
inline void clear() {
for(i=0; i<=n; ++i) cnt[i]=0;
}
inline void add(int x, int y) {
// printf("(%lld %lld)\n", x, y);
while(x<=n) cnt[x]+=y, x+=x&-x;
}
inline int que(int x) {
ans=0; while(x) ans+=cnt[x], x-=x&-x;
return ans;
}
}S1, S2, S;

inline void calc(int op) {
if(op==2) {
for(i=1; i<=n; ++i) b[i]=a[i]-i; UP(b, n);
for(i=1; i<=n; ++i) c[i]=a[i]+i; UP(c, n);
S.clear();
}


for(i=1; i<=(n+1)/2; ++i) {
s[i]+=S.que(c[i]-1);
S.add(c[i], 1);
}
S.clear();
for(i=1, l=1, r=0; i<=(n+1)/2; ++i) {
while(r<2*i-1) S.add(b[++r], 1);
while(l<=i) S.add(b[l++], -1);
s[i]+=S.que(b[i]-1);
}
for(i=1, j=0; i<=n; ++i) f[++j]=e[i]=a[i];
for(i=1; i<=n; ++i) f[++j]=d[i]=a[i]+i-1;
sort(f+1, f+2*n+1);
len=unique(f+1,f+n*2+1)-f-1;
for(i=1; i<=n; ++i) e[i]=lower_bound(f+1, f+len+1, e[i])-f;
for(i=1; i<=n; ++i) d[i]=lower_bound(f+1, f+len+1, d[i])-f;
S.n=len;
S.clear();
for(i=(n+1)/2, r=n; i>=1; --i) {
while(r>=2*i) S.add(e[r], 1), --r;
s[i]+=S.que(d[i]-1);
}
S.n=n;
}

inline void outp(int x){
if(x>9) outp(x/10);
putchar(x%10+48);
}

signed main()
{
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
freopen("run.in", "r", stdin);
freopen("run.out", "w", stdout);
//// T=read();
// while(T--) {
//
// }
n=read(); p=read();
for(i=1; i<=n; ++i) a[i]=read();
for(i=1; i<=n; ++i) b[i]=a[i]-i; UP(b, n);
for(i=1; i<=n; ++i) c[i]=a[i]+i; UP(c, n);
S1.n=S2.n=S.n=n;
if(p==1) {

for(i=1; i<=n; ++i) {
ans[i]+=S.que(b[i]-1);
S.add(b[i], 1);
}
S.clear();
for(i=n; i>=1; --i) {
ans[i]+=S.que(c[i]-1);
S.add(c[i], 1);
}
for(i=1; i<=n; ++i) printf("%lld\n", ans[i]+1);
return 0;
}
for(i=1; i<=n; ++i) S1.add(b[i], 1);
for(i=1; i<=n; ++i) ans[i]=max(ans[i], S1.que(b[i]-1));
for(i=1; i<=n; ++i) S2.add(c[i], 1);
for(i=1; i<=n; ++i) ans[i]=max(ans[i], S2.que(c[i]-1));
calc(1);
if(n&1) s[(n+1)>>1]=0;
for(i=1, j=n; i<=j; ++i, --j) swap(a[i], a[j]), swap(s[i], s[j]);
calc(2);
for(i=1, j=n; i<=j; ++i, --j) swap(s[i], s[j]);
for(i=1; i<=n; ++i) ans[i]=max(ans[i], s[i])+1;
for(i=1; i<=n; ++i) outp(ans[i]), puts("");
return 0;
}