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L.java
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114 lines (92 loc) · 3.08 KB
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import java.io.*;
import java.util.*;
import java.math.*;
public class L
{
public static void main(String[] args) {
(new Solver()).go();
}
}
class Solver
{
public void go() {
InputReader in = new InputReader();
int n = in.nextInt();
int[] a = new int[n];
for(int i = 0; i < n; ++i)
a[i] = in.nextInt();
// System.out.println(Arrays.toString(a));
int[] inc = new int[n];
for(int i = 0; i < n; ++i) {
int j = i;
while (j < n-1 && a[j+1] >= a[j]) ++j;
inc[i] = j - i + 1;
}
// System.out.println(Arrays.toString(inc));
int[][] lower = new int[n][n];
for(int i = n-1; i >= 0; --i)
for(int j = i-1; j >= 0; --j) {
if (a[j] > a[i]) lower[j][i] = 0;
else {
int x = (i < n-1 && j < n-1) ? lower[j+1][i+1] : 0;
lower[j][i] = x + 1;
}
}
// for(int i = 0; i < n; ++i)
// System.out.println(Arrays.toString(lower[i]));
BigInteger[][] f = new BigInteger[n][n+1];
for(int i = 0; i < n; ++i)
for(int j = 0; j <= n; ++j)
f[i][j] = BigInteger.ZERO;
for(int first = 1; first <= inc[0]; ++first)
f[first-1][first] = BigInteger.ONE;
BigInteger[] tmp = new BigInteger[n+1];
for(int i = 0; i < n-1; ++i) {
for(int k = 0; k <= n; ++k)
tmp[k] = BigInteger.ZERO;
for(int last = 1; last <= i+1; ++last)
if (f[i][last].signum() > 0) {
int k = Math.min(inc[i+1], lower[i-last+1][i+1]);
if (k > last) k = last;
// for(int t = 1; t <= k; ++t)
// f[i+t][t] = f[i+t][t].add(f[i][last]);
tmp[k] = tmp[k].add(f[i][last]);
}
for(int k = n-1; k >= 0; --k)
tmp[k] = tmp[k+1].add(tmp[k]);
for(int k = 1; k <= n; ++k)
if (i + k < n)
f[i+k][k] = f[i+k][k].add(tmp[k]);
}
// for(int i = 0; i < n; ++i) {
// System.out.println(Arrays.toString(f[i]));
// }
BigInteger res = BigInteger.ZERO;
for(int last = 1; last <= n; ++last)
res = res.add(f[n-1][last]);
System.out.println(res);
}
}
class InputReader
{
public StringTokenizer st;
public BufferedReader br;
public InputReader() {
st = null;
br = new BufferedReader(new InputStreamReader(System.in));
}
public String next() {
while (st == null || !st.hasMoreTokens()) {
try {
st = new StringTokenizer(br.readLine());
}
catch (Exception ex) {
System.out.println(":@)");
}
}
return st.nextToken();
}
public int nextInt() {
return Integer.parseInt(next());
}
}