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#include "jumps.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define F first
#define S second
typedef pair<int,int> pa;
int n,h[200005],nex[200005][20],pow_2[20],nex_r[200005][20],l_mx[200005],r_mx[200005],hsh[200005];
stack<pair<int,int> > stk;
struct node{
node *l,*r;
int mx,mi;
};
node top;
void build(node *pos,int be,int ed){
if(be == ed){
pos->mi = h[be];
pos->mx = h[be];
return;
}
int mid = (be+ed)/2;
pos->l = new node;
pos->r = new node;
build(pos->l,be,mid);
build(pos->r,mid+1,ed);
pos->mi = min(pos->l->mi,pos->r->mi);
pos->mx = max(pos->l->mx,pos->r->mx);
}
pa query(node *pos,int be,int ed,int x,int y){
if(be > ed || y < be || ed < x) return {n+1,0};
if(x <= be && ed <= y) return {pos->mi,pos->mx};
int mid = (be+ed)/2;
pa L = query(pos->l,be,mid,x,y);
pa R = query(pos->r,mid+1,ed,x,y);
return {min(L.F,R.F),max(L.S,R.S)};
}
void init(int N, vector<int> H) {
n = N;
for(int i=0;i<N;i++) h[i+1] = H[i], hsh[H[i]] = i+1;
h[n+1] = n+1;
h[0] = n+1;
build(&top,1,n);
pow_2[0] = 1;
for(int i=1;i<=20;i++) pow_2[i] = pow_2[i-1] * 2;
stk.push({n+1,0});
for(int i=1;i<=n;i++){
while(stk.top().F < h[i]) stk.pop();
nex[i][0] = stk.top().S;
stk.push({h[i],i});
}
while(!stk.empty()) stk.pop();
stk.push({n+1,n+1});
for(int i=n;i>=1;i--){
while(stk.top().F < h[i]) stk.pop();
nex_r[i][0] = stk.top().S;
if(stk.top().F > h[nex[i][0]]) nex[i][0] = stk.top().S;
stk.push({h[i],i});
}
while(!stk.empty()) stk.pop();
for(int i=1;i<=18;i++){
for(int j=1;j<=n;j++){
nex[j][i] = nex[nex[j][i-1]][i-1];
nex_r[j][i] = nex_r[nex_r[j][i-1]][i-1];
}
}
}
int minimum_jumps(int A, int B, int C, int D) {
A++, B++, C++, D++;
pa val_st = query(&top,1,n,A,B);
pa val_mid = query(&top,1,n,B+1,C-1);
pa val_ed = query(&top,1,n,C,D);
//printf(">>%d %d %d\n",val_st.S,val_mid.S,val_ed.S);
if(val_mid.S > val_ed.S) return -1;
int be,ed,mid,mx_st,val,mi_ed,p,ans;
be = C-1, ed = D+1, mi_ed = n+1,ans = 0;
while(ed-be > 1){
mid = (be+ed)/2;
val = query(&top,1,n,C,mid).S;
if(val > val_mid.S){
ed = mid;
mi_ed = min(mi_ed,val);
}
else be = mid;
}
//printf(">>%d\n",mi_ed);
if(val_st.S > val_ed.S){
if(val_mid.S < h[B]) return -1;
be = A-1, ed = B+1, mx_st = 0;
while(ed-be > 1){
mid = (be+ed)/2;
val = query(&top,1,n,mid,B).S;
if(val < val_ed.S){
ed = mid;
mx_st = max(mx_st,val);
}
else be = mid;
}
//printf("!!!%d\n",mx_st);
p = hsh[mx_st];
for(int i=18;i>=0;i--){
if(nex_r[p][i] < C){
ans += pow_2[i];
p = nex_r[p][i];
}
}
ans++;
return ans;
}
else{
mx_st = val_st.S;
int pos1 = hsh[val_mid.S];
int pos2 = 0;
int dis0=0,dis1=0,dis2=0;
be = 0, ed = A;
while(ed-be > 1){
mid = (be+ed)/2;
val = query(&top,1,n,mid,A-1).S;
if(val > val_mid.S){
be = mid;
pos2 = max(pos2,val);
}
else ed = mid;
}
pos2 = hsh[pos2];
//printf("pos1 = %d, pos2 = %d\n",pos1,pos2);
if(val_mid.S > val_st.S){
dis1 = 0;
p = hsh[mx_st];
for(int i=18;i>=0;i--){
if(h[nex[p][i]] < h[pos1]){
dis1 += pow_2[i];
p = nex[p][i];
}
}
dis1 += 2;
}
else dis1 = 1;
if(pos2 != 0){
dis2 = 0;
p = hsh[mx_st];
for(int i=18;i>=0;i--){
if(h[nex[p][i]] < h[pos2]){
dis2 += pow_2[i];
p = nex[p][i];
}
}
dis2 += 2;
}
else dis2 = 1e9;
return min(dis1,dis2);
}
}
컴파일 시 표준 에러 (stderr) 메시지
jumps.cpp: In function 'int minimum_jumps(int, int, int, int)':
jumps.cpp:136:13: warning: unused variable 'dis0' [-Wunused-variable]
136 | int dis0=0,dis1=0,dis2=0;
| ^~~~
jumps.cpp: In function 'void init(int, std::vector<int>)':
jumps.cpp:56:37: warning: iteration 19 invokes undefined behavior [-Waggressive-loop-optimizations]
56 | for(int i=1;i<=20;i++) pow_2[i] = pow_2[i-1] * 2;
| ~~~~~~~~~^~~~~~~~~~~~~~~~
jumps.cpp:56:18: note: within this loop
56 | for(int i=1;i<=20;i++) pow_2[i] = pow_2[i-1] * 2;
| ~^~~~
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