📄 inversion(构造逆序数用线段树).cpp
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#include <cstdio>
#include <string>
#include <cassert>
#include <algorithm>
using namespace std;
struct node {
long long l,r;
node * pl, * pr;
long long count;
}mem[150000];
long long mem_pos;
long long anti, n, ans[51000];
node *
new_node()
{
node * pt = &mem[mem_pos ++];
memset(pt,0,sizeof(node));
return pt;
}
node *
make_tree(long long il, long long ir)
{
node * root = new_node();
root ->l = il;
root ->r = ir;
root ->count = ir - il +1;
if(il != ir) {
long long mid = (il+ir)/2;
root ->pl = make_tree(il, mid);
root ->pr = make_tree(mid+1, ir);
}
return root;
}
long long
find(node * root, long long num)
{
root ->count --;
if(root ->l == root ->r) {
return root ->l;
}
if(root ->pl ->count >= num) {//left
return find(root ->pl, num);
}
else {//right
return find(root ->pr, num - root ->pl ->count);
}
}
long long
get_max(long long x, long long y)
{
return x > y ? x : y;
}
int
main()
{
long long i,j;
while(scanf("%lld %lld", &n,&anti)==2) {
if(n==-1 && anti==-1) {
break;
}
for(i=1;i<=n;i++) {
long long t = (n-i)*(n-i-1)/2;
ans[i] = get_max(0, anti - t);
anti -= ans[i];
}
mem_pos = 0;
node * root = make_tree(1, n);
for(i=1;i<n;i++) {
printf("%lld ", find(root, ans[i]+1));
}
printf("%lld\n", find(root, ans[n]+1));
}
}
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