This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
import java.io.*;
import java.util.ArrayList;
import java.util.InputMismatchException;
import java.util.function.Predicate;
public class triusis {
public static void main(String[] args) {
FastIO io = new FastIO();
int n = io.nextInt();
int m = io.nextInt();
int[] arr = new int[n + 1];
for (int i = 1; i <= n; i++) arr[i] = -(io.nextInt() - i * m);
ArrayList<Integer> l = new ArrayList<>();
l.add(0);
for (int i = 1; i <= n; i++) {
int val = arr[i];
int upper = firstTrue(0, l.size() - 1, (x) -> l.get(x) > val);
if (upper == 0) continue;
if (upper == l.size()) l.add(val);
l.set(upper, val);
}
io.println(n - l.size() + 1);
io.close();
}
public static int firstTrue(int lo, int hi, Predicate<Integer> test) {
hi++;
while (lo < hi) {
int mid = lo + (hi - lo) / 2;
if (test.test(mid)) {
hi = mid;
} else {
lo = mid + 1;
}
}
return lo;
}
private static class FastIO extends PrintWriter {
private final InputStream stream;
private final byte[] buf = new byte[1 << 16];
private int curChar, numChars;
// standard input
public FastIO() {
this(System.in, System.out);
}
public FastIO(InputStream i, OutputStream o) {
super(o);
stream = i;
}
// file input
public FastIO(String i, String o) throws IOException {
super(new FileWriter(o));
stream = new FileInputStream(i);
}
// throws InputMismatchException() if previously detected end of file
private int nextByte() {
if (numChars == -1) throw new InputMismatchException();
if (curChar >= numChars) {
curChar = 0;
try {
numChars = stream.read(buf);
} catch (IOException e) {
throw new InputMismatchException();
}
if (numChars == -1) return -1; // end of file
}
return buf[curChar++];
}
// to read in entire lines, replace c <= ' '
// with a function that checks whether c is a line break
public String next() {
int c;
do {
c = nextByte();
} while (c <= ' ');
StringBuilder res = new StringBuilder();
do {
res.appendCodePoint(c);
c = nextByte();
} while (c > ' ');
return res.toString();
}
public int nextInt() { // nextLong() would be implemented similarly
int c;
do {
c = nextByte();
} while (c <= ' ');
int sgn = 1;
if (c == '-') {
sgn = -1;
c = nextByte();
}
int res = 0;
do {
if (c < '0' || c > '9') throw new InputMismatchException();
res = 10 * res + c - '0';
c = nextByte();
} while (c > ' ');
return res * sgn;
}
public long nextLong() { // nextLong() would be implemented similarly
int c;
do {
c = nextByte();
} while (c <= ' ');
int sgn = 1;
if (c == '-') {
sgn = -1;
c = nextByte();
}
long res = 0;
do {
if (c < '0' || c > '9') throw new InputMismatchException();
res = 10 * res + c - '0';
c = nextByte();
} while (c > ' ');
return res * sgn;
}
public double nextDouble() {
return Double.parseDouble(next());
}
}
}
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