This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define mod 1000000007
using namespace std;
int n, a, b;
inline int add(int a, int b)
{
if(!b)
return a;
int x = a+b;
if(x >= mod)
x -= mod;
else
if(x < 0)
x += mod;
return x;
}
int dp[2][2002][2002];
int sp[2][2][2002][2002];
int main()
{
cin >> n >> a >> b;
for(int i = 1; i <= n; ++i)
if(i != a && i != b)
dp[(a < i)][i - 1 - (a < i)][b - (a < b) - (i < b)] = 1;
if(n == 2)
{
cout << 1;
return 0;
}
int ans = 0;
for(int sum = n-2; sum >= 1; --sum)
{
for(int i = 0; i <= sum; ++i)
for(int pos = 1; pos <= sum; ++pos)
{
int smaller = i;
int bigger = sum - i;
if(sum != n-2)
{
dp[0][smaller][pos] = add(sp[0][0][smaller][pos], (smaller > 0) * dp[0][smaller - 1][pos]);
dp[1][smaller][pos] = add(sp[0][1][smaller][pos], (smaller > 0) * dp[1][smaller - 1][pos]);
}
if(!dp[0][smaller][pos] && !dp[1][smaller][pos])
continue;
// cout << sum << '\n';
// cout << smaller << " " << bigger << " " << pos << '\n';
// cout << dp[0][smaller][bigger][pos] << " " << dp[1][smaller][bigger][pos] << '\n';
if(sum == 1)
{
if(smaller)
ans = add(ans, dp[1][smaller][1]);
else
ans = add(ans, dp[0][smaller][1]);
}
else
{
if(pos <= smaller)
{
if(pos != 1)
{
sp[1][0][0][pos - 1] = add(sp[1][0][0][pos - 1], dp[1][smaller][pos]);
sp[1][0][pos - 1][pos - 1] = add(sp[1][0][pos - 1][pos - 1], -dp[1][smaller][pos]);
}
if(pos != smaller)
{
sp[1][0][pos][pos] = add(sp[1][0][pos][pos], dp[1][smaller][pos]);
sp[1][0][smaller][pos] = add(sp[1][0][smaller][pos], -dp[1][smaller][pos]);
}
if(smaller != sum)
{
sp[1][1][smaller][pos] = add(sp[1][1][smaller][pos], dp[0][smaller][pos]);
sp[1][1][sum][pos] = add(sp[1][1][sum][pos], -dp[0][smaller][pos]);
}
}
else
{
if(pos != smaller)
{
sp[1][0][0][pos - 1] = add(sp[1][0][0][pos - 1], dp[1][smaller][pos]);
sp[1][0][smaller][pos - 1] = add(sp[1][0][smaller][pos - 1], -dp[1][smaller][pos]);
}
if(pos - 1 != smaller)
{
sp[1][1][smaller][pos - 1] = add(sp[1][1][smaller][pos - 1], dp[0][smaller][pos]);
sp[1][1][pos - 1][pos - 1] = add(sp[1][1][pos - 1][pos - 1], -dp[0][smaller][pos]);
}
if(pos != sum)
{
sp[1][1][pos][pos] = add(sp[1][1][pos][pos], dp[0][smaller][pos]);
sp[1][1][sum][pos] = add(sp[1][1][sum][pos], -dp[0][smaller][pos]);
}
}
}
}
for(int x = 0; x <= 1; ++x)
for(int q = 0; q <= sum; ++q)
{
memcpy(sp[0][x][q], sp[1][x][q], 4 * (sum + 1));
memset(sp[1][x][q], 0, 4 * (sum + 1));
// for(int p = 0; p <= sum; ++p)
// sp[0][x][q][p] = sp[1][x][q][p], sp[1][x][q][p] = 0;
}
}
cout << ans;
return 0;
}
Compilation message (stderr)
kangaroo.cpp: In function 'int main()':
kangaroo.cpp:37:21: warning: unused variable 'bigger' [-Wunused-variable]
int bigger = sum - i;
^~~~~~
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