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bit.java
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import java.util.*;
import java.awt.List;
import java.io.*;
import java.lang.*;
import java.lang.reflect.Array;
public class code8 {
public static void main(String[] args) {
InputReader in = new InputReader(System.in);
PrintWriter pw = new PrintWriter(System.out);
// Code starts..
int n = in.nextInt();
int[] a = in.nextIntArray(n);
query[] qr1 = new query[n];
pair[] p = new pair[n];
q = n;
HashMap<Integer, Integer> map = new HashMap<>();
for(int i=0; i<n; i++)
map.put(a[i],i);
Arrays.sort(a);
for(int i=n-1; i>=0; i--)
{
p[n-i-1] = new pair(-a[i], map.get(a[i]));
int l = 0;
int r = map.get(a[i])-1;
int x = a[i];
qr1[n-i-1] = new query(l, r, -a[i], map.get(a[i]));
// pw.println(qr1[n-i-1].l+" "+qr1[n-i-1].x+" "+p[n-i-1]);
}
int[] ans = answerQueries(n, qr1, q, p);
for(int i=0; i<n; i++)
{
int l = map.get(a[i])+1;
int r = n-1;
int x = a[i];
qr1[i].l = l;
qr1[i].r = r;
qr1[i].x = x;
qr1[i].idx = map.get(a[i]);
p[i].x = x;
p[i].y = map.get(a[i]);
// pw.println(qr1[i].l+" "+qr1[i].x+" "+p[i]+" ");
}
int[] ans2 = answerQueries(n, qr1, q, p);
long sum = 0;
for(int i=0; i<q; i++)
{
sum += (long)ans[i]*ans2[i];
//pw.println(ans[i]+" "+ans2[i]);
}
pw.print(sum);
// code ends...
pw.flush();
pw.close();
}
public static void update(int bit[], int idx, int val, int n) {
for(; idx<=n; idx+= (idx&-idx))
bit[idx] += val;
}
public static int query(int bit[], int idx, int n) {
int sum = 0;
for (; idx > 0; idx -= idx&-idx)
sum += bit[idx];
return sum;
}
public static int[] answerQueries(int n, query[] qr, int q,
pair[] p)
{
int[] bit = new int[n+1];
/*p = suffle(p, new Random());
qr = suffle(qr, new Random());
//Arrays.sort(p);
Arrays.sort(qr);
*/
int curr = 0;
int[] ans = new int[q];
for (int i=0; i<q; i++)
{
//System.out.println(p[curr]+" "+i+" "+curr);
if(curr<n)
while (p[curr].x <= qr[i].x && curr<n)
{
update(bit, p[curr].y+1, 1, n);
curr++;
if(curr==n)
break;
}
ans[qr[i].idx] = query(bit, qr[i].r+1, n) -
query(bit, qr[i].l, n);
}
return ans;
}
static class InputReader
{
private final InputStream stream;
private final byte[] buf = new byte[8192];
private int curChar, snumChars;
private SpaceCharFilter filter;
public InputReader(InputStream stream) {
this.stream = stream;
}
public int snext() {
if (snumChars == -1)
throw new InputMismatchException();
if (curChar >= snumChars) {
curChar = 0;
try {
snumChars = stream.read(buf);
} catch (IOException e) {
throw new InputMismatchException();
}
if (snumChars <= 0)
return -1;
}
return buf[curChar++];
}
public int nextInt() {
int c = snext();
while (isSpaceChar(c)) {
c = snext();
}
int sgn = 1;
if (c == '-') {
sgn = -1;
c = snext();
}
int res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res *= 10;
res += c - '0';
c = snext();
} while (!isSpaceChar(c));
return res * sgn;
}
public long nextLong() {
int c = snext();
while (isSpaceChar(c)) {
c = snext();
}
int sgn = 1;
if (c == '-') {
sgn = -1;
c = snext();
}
long res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res *= 10;
res += c - '0';
c = snext();
} while (!isSpaceChar(c));
return res * sgn;
}
public int[] nextIntArray(int n) {
int a[] = new int[n];
for (int i = 0; i < n; i++) {
a[i] = nextInt();
}
return a;
}
public String readString() {
int c = snext();
while (isSpaceChar(c)) {
c = snext();
}
StringBuilder res = new StringBuilder();
do {
res.appendCodePoint(c);
c = snext();
} while (!isSpaceChar(c));
return res.toString();
}
public String nextLine() {
int c = snext();
while (isSpaceChar(c))
c = snext();
StringBuilder res = new StringBuilder();
do {
res.appendCodePoint(c);
c = snext();
} while (!isEndOfLine(c));
return res.toString();
}
public boolean isSpaceChar(int c) {
if (filter != null)
return filter.isSpaceChar(c);
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
private boolean isEndOfLine(int c) {
return c == '\n' || c == '\r' || c == -1;
}
public interface SpaceCharFilter {
public boolean isSpaceChar(int ch);
}
}
}