#pragma GCC optimize("Ofast,unroll-loops,fast-math,O3")
#pragma GCC target( "sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define ordered_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
#define len(x) (int)x.size()
#define ull unsigned long long
#define F first
#define S second
#define pb push_back
#define pf push_front
#define popb pop_back
#define popf pop_front
// #define int long long
#define ld long double
#define pii pair<int,int>
#define mii map<int,int>
using namespace std;
using namespace __gnu_pbds;
using ll = long long;
const int N = 1e6 + 5;
int n,q,a[N],c[N],lg[N],sp[21][N],s[21][N];
vector <int> p[1001];
signed main(){
// freopen("txt.in", "r", stdin);
// freopen("txt.out", "w", stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> q;
lg[2] = 1;
for (int i=1;i<=n;i++){
if (!lg[i]) lg[i] = lg[i-1];
if (i*2<=n) lg[i*2] = lg[i] + 1;
}
int mn = 1e9,mx = 0;
for (int i=1;i<=n;i++){
cin >> a[i];
s[0][i] = a[i];
mn = min(mn, a[i]);
mx = max(mx, a[i]);
if (a[i]<=1000) p[a[i]].pb(i);
}
for (int i=1;i<n;i++){
if (a[i]<=a[i+1]) {
c[i] = 1;
}
sp[0][i] = c[i];
}
for (int i=1;i<=20;i++){
for (int j=1;j+(1<<i)-1<=n;j++){
sp[i][j] = min(sp[i-1][j], sp[i-1][j+(1<<(i-1))]);
}
}
for (int i=1;i<=20;i++){
for (int j=1;j+(1<<i)-1<=n;j++){
s[i][j] = max(s[i-1][j], s[i-1][j+(1<<(i-1))]);
}
}
while(q--){
int ll,rr,k;
cin >> ll >> rr >> k;
if (ll==rr){
cout << 1 << '\n';
continue;
}
int l = ll;
int r = rr-1;
while(l<=r){
int md = (l + r) / 2;
int x = lg[(rr-1)-md+1];
int cur = min(sp[x][md], sp[x][(rr-1)-(1<<x)+1]);
if (cur==1){
r = md - 1;
}
else{
l = md + 1;
}
}
if (ll==l){
cout << 1 << '\n';
continue;
}
if (k < mn){
cout << 0 << '\n';
continue;
}
if (n<=5000){
int res = 0;
for (int i=ll+1;i<=rr;i++){
int x = lg[i-ll+1];
int cur = max(s[x][ll], s[x][i-(1<<x)+1]);
if (cur > a[i]){
res = max(res, cur + a[i]);
}
}
if (res<=k){
cout << 1 << '\n';
}
else{
cout << 0 << '\n';
}
}
else {
int res = 0;
for (int i=1;i<=min(mx,1000);i++){
l = 0;
r = len(p[i]) - 1;
while(l<=r){
int md = (l + r) / 2;
if (p[i][md] < ll){
l = md + 1;
}
else{
r = md - 1;
}
}
if (l<len(p[i]) && p[i][l]>=ll && p[i][l]<=rr){
int x = lg[p[i][l] - ll + 1];
int cur = max(s[x][ll], s[x][p[i][l]-(1<<x)+1]);
if (cur > i) res = max(res, cur + i);
}
}
if (res <= k){
cout << 1 << '\n';
}
else{
cout << 0 << '\n';
}
}
}
}
//order_of_key(k): Number of items strictly smaller than k .
//find_by_order(k): K-th element in a set (counting from zero).
//sum of squares n*(n+1)*(2n+1)/6
//sum of cubes [n*(n+1)/2]^2
//sum of squares for odds n*(4*n*n-1)/3
//sum of cubes for odds n*n*(2*n*n-1)
//a/b%mod = a*(b^(m-2)%mod)
//(a>>x)&1 == 0
//a^b = (a+b)-2(a&b)
//srand(time(0))-always changing
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
16732 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
7 ms |
35164 KB |
Output is correct |
4 |
Correct |
3 ms |
26972 KB |
Output is correct |
5 |
Correct |
5 ms |
35404 KB |
Output is correct |
6 |
Correct |
5 ms |
41308 KB |
Output is correct |
7 |
Correct |
5 ms |
39260 KB |
Output is correct |
8 |
Correct |
6 ms |
41512 KB |
Output is correct |
9 |
Correct |
5 ms |
41308 KB |
Output is correct |
10 |
Correct |
6 ms |
41304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
16732 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
7 ms |
35164 KB |
Output is correct |
4 |
Correct |
3 ms |
26972 KB |
Output is correct |
5 |
Correct |
5 ms |
35404 KB |
Output is correct |
6 |
Correct |
5 ms |
41308 KB |
Output is correct |
7 |
Correct |
5 ms |
39260 KB |
Output is correct |
8 |
Correct |
6 ms |
41512 KB |
Output is correct |
9 |
Correct |
5 ms |
41308 KB |
Output is correct |
10 |
Correct |
6 ms |
41304 KB |
Output is correct |
11 |
Correct |
9 ms |
47708 KB |
Output is correct |
12 |
Correct |
21 ms |
60012 KB |
Output is correct |
13 |
Correct |
18 ms |
58000 KB |
Output is correct |
14 |
Correct |
27 ms |
59996 KB |
Output is correct |
15 |
Correct |
28 ms |
60020 KB |
Output is correct |
16 |
Correct |
47 ms |
59996 KB |
Output is correct |
17 |
Correct |
34 ms |
59996 KB |
Output is correct |
18 |
Correct |
42 ms |
59996 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
936 ms |
172464 KB |
Output is correct |
2 |
Correct |
940 ms |
172236 KB |
Output is correct |
3 |
Correct |
937 ms |
172612 KB |
Output is correct |
4 |
Correct |
951 ms |
172340 KB |
Output is correct |
5 |
Correct |
706 ms |
172396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
3042 ms |
94036 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
16732 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
7 ms |
35164 KB |
Output is correct |
4 |
Correct |
3 ms |
26972 KB |
Output is correct |
5 |
Correct |
5 ms |
35404 KB |
Output is correct |
6 |
Correct |
5 ms |
41308 KB |
Output is correct |
7 |
Correct |
5 ms |
39260 KB |
Output is correct |
8 |
Correct |
6 ms |
41512 KB |
Output is correct |
9 |
Correct |
5 ms |
41308 KB |
Output is correct |
10 |
Correct |
6 ms |
41304 KB |
Output is correct |
11 |
Correct |
9 ms |
47708 KB |
Output is correct |
12 |
Correct |
21 ms |
60012 KB |
Output is correct |
13 |
Correct |
18 ms |
58000 KB |
Output is correct |
14 |
Correct |
27 ms |
59996 KB |
Output is correct |
15 |
Correct |
28 ms |
60020 KB |
Output is correct |
16 |
Correct |
47 ms |
59996 KB |
Output is correct |
17 |
Correct |
34 ms |
59996 KB |
Output is correct |
18 |
Correct |
42 ms |
59996 KB |
Output is correct |
19 |
Incorrect |
312 ms |
115808 KB |
Output isn't correct |
20 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
16732 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
7 ms |
35164 KB |
Output is correct |
4 |
Correct |
3 ms |
26972 KB |
Output is correct |
5 |
Correct |
5 ms |
35404 KB |
Output is correct |
6 |
Correct |
5 ms |
41308 KB |
Output is correct |
7 |
Correct |
5 ms |
39260 KB |
Output is correct |
8 |
Correct |
6 ms |
41512 KB |
Output is correct |
9 |
Correct |
5 ms |
41308 KB |
Output is correct |
10 |
Correct |
6 ms |
41304 KB |
Output is correct |
11 |
Correct |
9 ms |
47708 KB |
Output is correct |
12 |
Correct |
21 ms |
60012 KB |
Output is correct |
13 |
Correct |
18 ms |
58000 KB |
Output is correct |
14 |
Correct |
27 ms |
59996 KB |
Output is correct |
15 |
Correct |
28 ms |
60020 KB |
Output is correct |
16 |
Correct |
47 ms |
59996 KB |
Output is correct |
17 |
Correct |
34 ms |
59996 KB |
Output is correct |
18 |
Correct |
42 ms |
59996 KB |
Output is correct |
19 |
Correct |
936 ms |
172464 KB |
Output is correct |
20 |
Correct |
940 ms |
172236 KB |
Output is correct |
21 |
Correct |
937 ms |
172612 KB |
Output is correct |
22 |
Correct |
951 ms |
172340 KB |
Output is correct |
23 |
Correct |
706 ms |
172396 KB |
Output is correct |
24 |
Execution timed out |
3042 ms |
94036 KB |
Time limit exceeded |
25 |
Halted |
0 ms |
0 KB |
- |