洛谷P3113 [USACO14DEC]马拉松赛跑Marathon_Gold 线段树维护区间最大值 模板
如此之裸…
Code:
#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
using namespace std;
const int maxn = 200000 + 3;
int x[maxn], y[maxn], n, m, len;
long long nex[maxn], nexx[maxn], maxv[maxn << 2], C[maxn];
inline long long dist(int i,int j){ return abs(x[i] - x[j]) + abs(y[i] - y[j]); }
void build(int l,int r , int o)
{
if(l > r) return ;
if(l == r)
{
maxv[o] = nexx[l];
return;
}
int mid = (l + r) >> 1, ls = (o << 1), rs = (o << 1)|1;
build(l, mid , ls);
build(mid + 1, r, rs);
maxv[o] = max(maxv[ls], maxv[rs]);
}
inline long long query(int l,int r,int L,int R,int o)
{
if(l > r || r < L || l > R) return 0;
if(l >= L && r <= R)
{
return maxv[o];
}
int mid = (l + r) >> 1, ls = (o << 1), rs = (o << 1) | 1;
long long ans = 0;
ans = max(ans, query(l, mid,L,R,ls));
ans = max(ans, query(mid + 1, r, L,R,rs));
return ans;
}
void change(int l,int r,int pos,int o)
{
if(l > r || r < pos || l > pos) return ;
if(l == r)
{
maxv[o] = nexx[pos];
return ;
}
int mid = (l + r) >> 1, ls = (o<<1), rs = (o << 1) |1;
change(l,mid,pos,ls);
change(mid + 1,r,pos,rs);
maxv[o] = max(maxv[ls], maxv[rs]);
}
int lowbit(int t){ return t & (-t); }
inline void update(int x,long long delta)
{
while(x <= n)
{
C[x] += delta;
x += lowbit(x);
}
}
inline long long ask(int x)
{
long long sums = 0;
while(x > 0)
{
sums += C[x];
x -= lowbit(x);
}
return sums;
}
int main()
{
scanf("%d%d",&n,&m);
for(int i = 1;i <= n; ++i) scanf("%d%d",&x[i],&y[i]);
for(int i = 1;i <= n; ++i) { if(i < n)nex[i] = dist(i, i + 1); update(i, dist(i,i - 1));}
for(int i = 1;i <= n - 2; ++i) nexx[i] = nex[i] + nex[i + 1] - dist(i, i + 2);
len = n - 2;
build(1, len, 1);
for(int i = 1;i <= m; ++i)
{
char op[10];
scanf("%s",op);
if(op[0] == 'Q')
{
int st, ed;
scanf("%d%d",&st,&ed);
long long s_ed = ask(ed);
long long s_st = ask(st);
printf("%lld\n",s_ed - s_st - query(1,len,st,ed - 2,1));
}
else
{
int id, a,b;
scanf("%d%d%d",&id,&a,&b);
update(id, -dist(id - 1, id));
update(id + 1, -dist(id, id + 1));
x[id] = a, y[id] = b;
nex[id - 1] = dist(id - 1, id);
nex[id] = dist(id, id + 1);
if(id + 2 <= n)
{
nexx[id] = nex[id] + nex[id + 1] - dist(id, id + 2);
change(1,len, id, 1);
}
if(id - 1 > 0 )
{
nexx[id - 1] = nex[id - 1] + nex[id] - dist(id - 1, id + 1);
change(1,len,id - 1,1);
}
if(id - 2 >= 1)
{
nexx[id -2] = nex[id - 2] + nex[id - 1] - dist(id - 2, id);
change(1,len,id - 2,1);
}
update(id, dist(id - 1, id));
update(id + 1, dist(id, id + 1));
}
}
return 0;
}