Wednesday, April 17, 2024

# Codeforces Round #412 (rated, Div. 1, based on VK Cup 2017 Round 3), problem: (E) Blog Post Rating Solution In JAVA

import static java.lang.Double.parseDouble;
import static java.lang.Integer.parseInt;
import static java.lang.Long.parseLong;
import static java.lang.Math.min;
import static java.lang.System.exit;

import java.io.IOException;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.Random;
import java.util.StringTokenizer;

public class E {

static PrintWriter out;
static StringTokenizer tok;

static int left[], right[], value[], y[], size[], func[];
static int free;

static final Random rng = new Random();

static int create(int val) {
int res = free;
free = value[free];
left[res] = -1;
right[res] = -1;
value[res] = val;
size[res] = 1;
func[res] = val;
return res;
}

static void destroy(int i) {
value[i] = free;
free = i;
}

static void fix(int i) {
int l = left[i], r = right[i];
int sl = l < 0 ? 0 : size[l];
int sr = r < 0 ? 0 : size[r];
size[i] = 1 + sl + sr;
func[i] = value[i] – sl;
if (l >= 0) {
func[i] = min(func[i], func[l]);
}
if (r >= 0) {
func[i] = min(func[i], func[r] – sl – 1);
}
}

static int splitLeft, splitRight, splitSelf;
static void split(int root, int val) {
if (root < 0) {
splitLeft = splitRight = splitSelf = -1;
} else if (value[root] > val) {
split(left[root], val);
left[root] = splitRight;
splitRight = root;
fix(root);
} else if (value[root] < val) {
split(right[root], val);
right[root] = splitLeft;
splitLeft = root;
fix(root);
} else {
splitLeft = left[root];
splitRight = right[root];
splitSelf = root;
left[root] = right[root] = -1;
fix(root);
}
}

static void split2(int root, int v) {
if (root < 0) {
splitLeft = splitRight = -1;
} else {
int sl = left[root] < 0 ? 0 : size[left[root]];
if (value[root] + sl + v >= 0) {
split2(left[root], v);
left[root] = splitRight;
splitRight = root;
fix(root);
} else {
split2(right[root], v + sl + 1);
right[root] = splitLeft;
splitLeft = root;
fix(root);
}
}
}

static int merge(int l, int r) {
if (l < 0) {
return r;
} else if (r < 0) {
return l;
} else if (y[l] < y[r]) {
right[l] = merge(right[l], r);
fix(l);
return l;
} else {
left[r] = merge(l, left[r]);
fix(r);
return r;
}
}

// static void print(int root) {
// print2(root);
// System.err.println();
// }
//
// static void print2(int root) {
// if (root >= 0) {
// System.err.print(‘(‘);
// if (left[root] >= 0) {
// print2(left[root]);
// System.err.print(‘ ‘);
// }
// System.err.print(value[root]);
// if (right[root] >= 0) {
// System.err.print(‘ ‘);
// print2(right[root]);
// }
// System.err.print(‘)’);
// }
// }

static void solve() throws Exception {
int n = nextInt();
left = new int[n];
right = new int[n];
value = new int[n];
y = new int[n];
size = new int[n];
func = new int[n];
free = 0;
for (int i = 0; i < n; i++) {
y[i] = rng.nextInt();
value[i] = i < n – 1 ? i + 1 : -1;
}
int root = -1;
for (int i = 0; i < n; i++) {
int val = nextInt();
split(root, val);
root = merge(merge(merge(splitLeft, create(val)), splitSelf), splitRight);
// print(root);
split2(root, 0);
int sl = splitLeft < 0 ? 0 : size[splitLeft];
int sr = splitRight < 0 ? 0 : size[splitRight];
int fr = splitRight < 0 ? 2 * n : func[splitRight];
out.println(min(sr – sl, fr + sr – 1));
root = merge(splitLeft, splitRight);
// print(root);
}
}

static int nextInt() throws IOException {
return parseInt(next());
}

static long nextLong() throws IOException {
return parseLong(next());
}

static double nextDouble() throws IOException {
return parseDouble(next());
}

static String next() throws IOException {
while (tok == null || !tok.hasMoreTokens()) {
}
}

public static void main(String[] args) {
try {
out = new PrintWriter(new OutputStreamWriter(System.out));
solve();
in.close();
out.close();
} catch (Throwable e) {
e.printStackTrace();
exit(1);
}
}
}

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