이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; i++) {
cin >> a[i];
}
vector<int> b(n);
for (int i = 0; i < n; i++) {
cin >> b[i];
}
vector<int> prv(n);
{
vector<int> mx(16 * n, -1);
vector<int> tag(16 * n, -1);
auto Push = [&](int x) {
mx[x * 2] = max(mx[x * 2], tag[x]);
mx[x * 2 + 1] = max(mx[x * 2 + 1], tag[x]);
tag[x * 2] = max(tag[x * 2], tag[x]);
tag[x * 2 + 1] = max(tag[x * 2 + 1], tag[x]);
tag[x] = -1;
};
function<void(int, int, int, int, int, int)> Modify = [&](int x, int l, int r, int ll, int rr, int v) {
if (ll <= l && r <= rr) {
mx[x] = max(mx[x], v);
tag[x] = max(tag[x], v);
Push(x);
return;
}
Push(x);
int mid = (l + r) >> 1;
if (rr <= mid) {
Modify(x * 2, l, mid, ll, rr, v);
} else if (ll > mid) {
Modify(x * 2 + 1, mid + 1, r, ll, rr, v);
} else {
Modify(x * 2, l, mid, ll, rr, v);
Modify(x * 2 + 1, mid + 1, r, ll, rr, v);
}
mx[x] = max(mx[x * 2], mx[x * 2 + 1]);
};
function<int(int, int, int, int, int)> Query = [&](int x, int l, int r, int ll, int rr) {
if (ll <= l && r <= rr) {
return mx[x];
}
Push(x);
int mid = (l + r) >> 1;
int ret = 0;
if (rr <= mid) {
ret = Query(x * 2, l, mid, ll, rr);
} else if (ll > mid) {
ret = Query(x * 2 + 1, mid + 1, r, ll, rr);
} else {
ret = max(Query(x * 2, l, mid, ll, rr), Query(x * 2 + 1, mid + 1, r, ll, rr));
}
mx[x] = max(mx[x * 2], mx[x * 2 + 1]);
return ret;
};
for (int i = 0; i < n; i++) {
prv[i] = Query(1, 1, 2 * n, b[i], a[i]);
Modify(1, 1, 2 * n, b[i], a[i], i);
}
}
vector<int> nxt(n);
{
vector<int> mn(16 * n, n);
vector<int> tag(16 * n, n);
auto Push = [&](int x) {
mn[x * 2] = min(mn[x * 2], tag[x]);
mn[x * 2 + 1] = min(mn[x * 2 + 1], tag[x]);
tag[x * 2] = min(tag[x * 2], tag[x]);
tag[x * 2 + 1] = min(tag[x * 2 + 1], tag[x]);
tag[x] = n;
};
function<void(int, int, int, int, int, int)> Modify = [&](int x, int l, int r, int ll, int rr, int v) {
if (ll <= l && r <= rr) {
mn[x] = min(mn[x], v);
tag[x] = min(tag[x], v);
Push(x);
return;
}
Push(x);
int mid = (l + r) >> 1;
if (rr <= mid) {
Modify(x * 2, l, mid, ll, rr, v);
} else if (ll > mid) {
Modify(x * 2 + 1, mid + 1, r, ll, rr, v);
} else {
Modify(x * 2, l, mid, ll, rr, v);
Modify(x * 2 + 1, mid + 1, r, ll, rr, v);
}
mn[x] = min(mn[x * 2], mn[x * 2 + 1]);
};
function<int(int, int, int, int, int)> Query = [&](int x, int l, int r, int ll, int rr) {
if (ll <= l && r <= rr) {
return mn[x];
}
Push(x);
int mid = (l + r) >> 1;
int ret = 0;
if (rr <= mid) {
ret = Query(x * 2, l, mid, ll, rr);
} else if (ll > mid) {
ret = Query(x * 2 + 1, mid + 1, r, ll, rr);
} else {
ret = min(Query(x * 2, l, mid, ll, rr), Query(x * 2 + 1, mid + 1, r, ll, rr));
}
mn[x] = min(mn[x * 2], mn[x * 2 + 1]);
return ret;
};
for (int i = n - 1; i >= 0; i--) {
nxt[i] = Query(1, 1, 2 * n, b[i], a[i]);
Modify(1, 1, 2 * n, b[i], a[i], i);
}
}
vector<vector<int>> ev(n + 1);
for (int i = 0; i < n; i++) {
ev[i].push_back(i);
ev[nxt[i]].push_back(~i);
}
int q;
cin >> q;
vector<int> l(q), r(q);
for (int i = 0; i < q; i++) {
cin >> l[i] >> r[i];
--l[i]; --r[i];
}
vector<vector<int>> qs(n);
for (int i = 0; i < q; i++) {
qs[r[i]].push_back(i);
}
vector<int> mn(8 * n, n);
function<void(int, int, int, int, int)> Modify = [&](int x, int l, int r, int i, int v) {
if (l == r) {
mn[x] = v;
return;
}
int mid = (l + r) >> 1;
if (i <= mid) {
Modify(x * 2, l, mid, i, v);
} else {
Modify(x * 2 + 1, mid + 1, r, i, v);
}
mn[x] = min(mn[x * 2], mn[x * 2 + 1]);
};
function<int(int, int, int, int, int)> Query = [&](int x, int l, int r, int ll, int rr) {
if (ll <= l && r <= rr) {
return mn[x];
}
int mid = (l + r) >> 1;
if (rr <= mid) {
return Query(x * 2, l, mid, ll, rr);
} else if (ll > mid) {
return Query(x * 2 + 1, mid + 1, r, ll, rr);
} else {
return min(Query(x * 2, l, mid, ll, rr), Query(x * 2 + 1, mid + 1, r, ll, rr));
}
};
vector<bool> res(q);
for (int i = 0; i < n; i++) {
for (int j : ev[i]) {
if (j >= 0) {
Modify(1, 0, n - 1, j, prv[j]);
} else {
Modify(1, 0, n - 1, ~j, n);
}
}
for (int j : qs[i]) {
res[j] = (l[j] <= Query(1, 0, n - 1, l[j], r[j]));
}
}
for (int i = 0; i < q; i++) {
cout << (res[i] ? "Yes" : "No") << '\n';
}
return 0;
}
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