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>
#include "sequence.h"
#ifdef MINA
#include "grader.cpp"
#endif
using namespace std;
#define ll long long
#define SZ(x) (int) x.size()
#define md ((l + r) >> 1)
const int N = 500'005, inf = 1e9;
struct node {
int mn, mx, lazy;
node() {
mn = inf;
mx = -inf;
lazy = 0;
}
friend node operator+(const node &l, const node &r) {
node ret;
ret.mn = min(l.mn, r.mn);
ret.mx = max(l.mx, r.mx);
return ret;
}
};
struct segtree {
node seg[1 << 20];
void build(int i, int l, int r) {
if (l == r) {
seg[i].mn = seg[i].mx = 0;
return;
}
build(i << 1, l, md);
build(i << 1 | 1, md + 1, r);
seg[i] = seg[i << 1] + seg[i << 1 | 1];
}
void process(int i, int l, int r) {
if (l != r) {
for (auto c : {i << 1, i << 1 | 1}) {
seg[c].lazy += seg[i].lazy;
}
}
seg[i].mn += seg[i].lazy;
seg[i].mx += seg[i].lazy;
seg[i].lazy = 0;
}
void add(int i, int l, int r, int s, int e, int v) {
process(i, l, r);
if (s <= l && r <= e) {
seg[i].lazy += v;
process(i, l, r);
return;
}
if (r < s || e < l) {
return;
}
add(i << 1, l, md, s, e, v);
add(i << 1 | 1, md + 1, r, s, e, v);
seg[i] = seg[i << 1] + seg[i << 1 | 1];
}
node get(int i, int l, int r, int s, int e) {
process(i, l, r);
if (s <= l && r <= e) {
return seg[i];
}
if (r < s || e < l) {
return node();
}
return get(i << 1, l, md, s, e) + get(i << 1 | 1, md + 1, r, s, e);
}
} suf;
struct BIT {
int n, bit[N];
void init(int _n) {
n = _n;
for (int i = 0; i < n; i++) {
bit[i] = inf;
}
}
void upd(int x, int v) {
for (int i = x; i < n; i |= i + 1) {
bit[i] = min(bit[i], v);
}
}
int get(int r) {
if (r < 0) return inf;
int mn = 1e9;
for (int i = r; i >= 0; i = (i & (i + 1)) - 1) {
mn = min(mn, bit[i]);
}
return mn;
}
} bit;
int sequence(int n, vector<int> a) {
vector<int> gud[n + 1];
for (int i = 0; i <= n; i++) {
gud[i].push_back(-1);
}
for (int i = 0; i < n; i++) {
gud[a[i]].push_back(i);
}
for (int i = 0; i <= n; i++) {
gud[i].push_back(n);
}
suf.build(1, 0, n);
for (int i = 0; i < n; i++) {
suf.add(1, 0, n, 0, i, 1);
}
int ans[n + 1];
for (int i = 0; i < n; i++) {
ans[i] = i;
}
for (int i = 0; i <= n; i++) {
for (auto x : gud[i]) {
suf.add(1, 0, n, 0, x, -1);
}
array<int, 2> vl[SZ(gud[i])], vr[SZ(gud[i])];
for (int j = 1; j < SZ(gud[i]) - 1; j++) {
vl[j] = {inf, -inf};
node val = suf.get(1, 0, n, gud[i][j - 1] + 1, gud[i][j]);
vl[j][0] = val.mn;
vl[j][1] = val.mx;
}
for (int r = SZ(gud[i]) - 2; r >= 1; r--) {
vr[r] = {inf, -inf};
node val = suf.get(1, 0, n, gud[i][r] + 1, gud[i][r + 1]);
vr[r][0] = val.mn;
vr[r][1] = val.mx;
}
vector<array<int, 3>> v;
for (int j = 1; j < SZ(gud[i]) - 1; j++) {
v.push_back({vl[j][0], vl[j][1], j});
}
sort(v.begin(), v.end());
vector<int> ask[SZ(v) + 1];
for (int r = 1; r < SZ(gud[i]) - 1; r++) {
int pos = lower_bound(v.begin(), v.end(), (array<int, 3>) {vr[r][0], 0, 0}) - v.begin();
ask[pos].push_back(r);
}
vector<int> vals;
for (int l = 1; l < SZ(gud[i]) - 1; l++) {
vals.push_back(vl[l][0] + l);
}
sort(vals.begin(), vals.end());
vals.resize(unique(vals.begin(), vals.end()) - vals.begin());
bit.init(SZ(vals) + 5);
for (int i = SZ(v); i >= 0; i--) {
if (i < SZ(v)) {
int x = v[i][0] + v[i][2];
int pos = lower_bound(vals.begin(), vals.end(), x) - vals.begin();
bit.upd(pos, v[i][2]);
}
for (auto r : ask[i]) {
int x = r + vr[r][1] + 1;
int pos = lower_bound(vals.begin(), vals.end(), x + 1) - vals.begin() - 1;
ans[r] = min(ans[r], bit.get(pos));
}
}
vals.clear();
for (int l = 1; l < SZ(gud[i]) - 1; l++) {
vals.push_back(l - vl[l][1]);
}
sort(vals.begin(), vals.end());
vals.resize(unique(vals.begin(), vals.end()) - vals.begin());
bit.init(SZ(vals) + 5);
for (int i = 0; i <= SZ(v); i++) {
for (auto r : ask[i]) {
int x = r - vr[r][0] + 1;
int pos = lower_bound(vals.begin(), vals.end(), x + 1) - vals.begin() - 1;
ans[r] = min(ans[r], bit.get(pos));
}
if (i < SZ(v)) {
int x = v[i][2] - v[i][1];
int pos = lower_bound(vals.begin(), vals.end(), x) - vals.begin();
bit.upd(pos, v[i][2]);
}
}
// for (int l = 1; l <= r; l++) {
// if (vr[0] <= vl[l][0]) {
// if (vl[l][0] + l <= r + vr[1] + 1) {
// ans = max(ans, r - l + 1);
// break;
// }
// } else {
// //vr[0] >= vl[l][0]
// if (l - vl[l][1] <= r - vr[0] + 1) {
// ans = max(ans, r - l + 1);
// }
// }
// }
for (auto x : gud[i]) {
suf.add(1, 0, n, 0, x, -1);
}
}
int mx = 0;
for (int i = 0; i < n; i++) {
mx = max(mx, i - ans[i] + 1);
}
return mx;
}
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