This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
Divide in buckets of size sqrt(nlog(n)) and for every bucket keep the answer for every guy , how many jumps you need to cover the whole bucket and the last guy fully covered in the bucket, if you start in this guy.
*/
#include <bits/stdc++.h>
#include "elephants.h"
using namespace std;
int sqt = 0;
int n , L;
int V[150005];
vector<int> bucket[350];
int DP[150005];
int G[150005];
int pos[150005];
int lastbucket = 0;
int pot = 0;
vector<int> v(n);
void rebuild(bool C){
pot = 0;
if(C){
for(int i = 0 ; i < n ; i ++) v.push_back(i);
}
else{
v.clear();
int last = -1;
for(int i = 0 ; i <= lastbucket; i ++){
for(int j = 0 ; j < bucket[i].size() ; j++){
v.push_back(bucket[i][j]);
last = bucket[i][j];
}
bucket[i].clear();
}
}
int currbucket = 0;
for(int i = 0 ; i < n; i++){
if(bucket[currbucket].size() <= sqt){
bucket[currbucket].push_back(v[i]);
}
else{
bucket[++currbucket].push_back(v[i]);
}
pos[v[i]] = currbucket;
lastbucket = currbucket;
}
for(int i = 0 ; i <= lastbucket ; i++){
int curr = 0;
int X = bucket[i].size();
curr = X-1;
for(int j = X - 1 ; j >=0 ; j--){
DP[bucket[i][j]] = 1;
while(curr > j && V[bucket[i][curr - 1]] > (V[bucket[i][j]] + L)){
curr--;
}
G[bucket[i][j]] = j;
if(V[bucket[i][curr]] > (V[bucket[i][j]] + L)){
DP[bucket[i][j]] += DP[bucket[i][curr]];
G[bucket[i][j]] = G[bucket[i][curr]];
}
}
}
}
void erase_elem(int currbucket, int vl){
vector<int> w;
for(int i = 0 ; i < bucket[currbucket].size() ; i++){
if(bucket[currbucket][i] == vl){
continue;
}
w.push_back(bucket[currbucket][i]);
}
bucket[currbucket] = w;
int i = currbucket;
int X = bucket[i].size();
int curr = X-1;
for(int j = X - 1 ; j >=0 ; j--){
DP[bucket[i][j]] = 1;
while(curr > j && V[bucket[i][curr - 1]] > (V[bucket[i][j]] + L)){
curr--;
}
G[bucket[i][j]] = j;
if(V[bucket[i][curr]] > (V[bucket[i][j]] + L)){
DP[bucket[i][j]] += DP[bucket[i][curr]];
G[bucket[i][j]] = G[bucket[i][curr]];
}
}
// recalculate DP now
}
void add_elem(int currbucket , int vl){
vector<int> w;
bool jafoi = false;
pos[vl] = currbucket;
for(int i = 0 ; i < bucket[currbucket].size() ; i++){
if(V[bucket[currbucket][i]] >= V[vl] && !jafoi){
jafoi = true;
w.push_back(vl);
}
w.push_back(bucket[currbucket][i]);
}
if(!jafoi) w.push_back(vl);
swap(bucket[currbucket] , w);
int i = currbucket;
int X = bucket[i].size();
int curr = X - 1;
for(int j = X - 1 ; j >=0 ; j--){
DP[bucket[i][j]] = 1;
while(curr > j && V[bucket[i][curr - 1]] > (V[bucket[i][j]] + L)){
curr--;
}
G[bucket[i][j]] = j;
if(V[bucket[i][curr]] > (V[bucket[i][j]] + L)){
DP[bucket[i][j]] += DP[bucket[i][curr]];
G[bucket[i][j]] = G[bucket[i][curr]];
}
}
}
void init(int N, int Lx, int X[])
{
sqt = 850;
n = N;
L = Lx;
for(int i = 0 ; i < N ; i ++) V[i] = X[i];
rebuild(1);
}
int update(int ix, int yx)
{
erase_elem(pos[ix],ix);
int oldd = pos[ix];
V[ix] = yx;
int newbucket = lastbucket;
for(int i = 0 ; i <= lastbucket -1 ; i++){
if(bucket[i+1].size() && V[bucket[i+1].front()] >= yx){
newbucket = i;
break;
}
}
add_elem(newbucket , ix);
pot++;
if(bucket[oldd].size() == 0 || pot >= sqt){
rebuild(0);
}
int currpos = 0;
int currbucket = 0;
int ans = 0;
while(true){
ans += DP[bucket[currbucket][currpos]];
currpos = G[bucket[currbucket][currpos]];
int ansj = -1;
int R = V[bucket[currbucket][currpos]] + L;
for(int j = currbucket + 1 ; j <= lastbucket ; j++){
if(V[bucket[j].back()] <= R){
continue;
}
else{
ansj = j;
break;
}
}
if(ansj == -1) break;
else{
currbucket = ansj;
int l= 0 , r = bucket[currbucket].size();
r--;
int ansj2 = -1;
while(l<=r){
int mid = (l+r)/2;
if(V[bucket[ansj][mid]] > R){
r = mid - 1;
ansj2 = mid;
}
else l = mid + 1;
}
currpos = ansj2;
}
}
return ans;
}
Compilation message (stderr)
elephants.cpp: In function 'void rebuild(bool)':
elephants.cpp:27:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j = 0 ; j < bucket[i].size() ; j++){
~~^~~~~~~~~~~~~~~~~~
elephants.cpp:25:7: warning: variable 'last' set but not used [-Wunused-but-set-variable]
int last = -1;
^~~~
elephants.cpp:36:32: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if(bucket[currbucket].size() <= sqt){
~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~
elephants.cpp: In function 'void erase_elem(int, int)':
elephants.cpp:65:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0 ; i < bucket[currbucket].size() ; i++){
~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
elephants.cpp: In function 'void add_elem(int, int)':
elephants.cpp:93:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0 ; i < bucket[currbucket].size() ; i++){
~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
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