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>
using namespace std;
#define fi first
#define se second
#define gcd __gcd
#define sz(v) (int) v.size()
#define pb push_back
#define pi pair<int,int>
#define all(v) (v).begin(), (v).end()
#define compact(v) (v).erase(unique(all(v)), (v).end())
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define dbg(x) "[" #x " = " << (x) << "]"
///#define int long long
using ll = long long;
using ld = long double;
using ull = unsigned long long;
template<typename T> bool ckmx(T& a, const T& b){if(a < b) return a = b, true; return false;}
template<typename T> bool ckmn(T& a, const T& b){if(a > b) return a = b, true; return false;}
const int N = 2e3+5;
const int MOD = 1e9+7;
int n, start_point, end_point;
namespace Subtask1{
const int N = 10;
bool vis[N]; int answer;
vector<int> vec;
void backtrack(int pos = 0){
if(pos == n){
for(int i = 1; i < sz(vec)-1; i++){
if(vec[i-1] < vec[i] && vec[i] < vec[i+1]) return;
if(vec[i-1] > vec[i] && vec[i] > vec[i+1]) return;
}
answer += (vec[0] == start_point && vec.back() == end_point);
return;
}
for(int i = 1; i <= n; i++){
if(vis[i]) continue;
vis[i] = true;
vec.push_back(i);
backtrack(pos+1);
vec.pop_back();
vis[i] = false;
}
return;
}
void process()
{
answer = 0;
backtrack();
cout << answer <<"\n";
return;
}
}
namespace Subtask3{
int dp[N][N];
int mul(int x, int y){return (1ll * x * y) % MOD;}
int add(int x, int y){return x + y < MOD ? x + y : x + y - MOD;}
void process()
{
dp[0][0] = 1;
for(int i = 1; i <= n; i++){
if(i == start_point || i == end_point){
// add component i to the first or i to the first component, only 1 smaller value in the first one (for start point)
// add component i to the last or i to the last component, only 1 smaller value in the last one (for end point)
for(int j = 1; j <= i; j++){
dp[i][j] = add(dp[i][j], add(dp[i-1][j], dp[i-1][j-1]));
//cout << dbg(i) << dbg(j) << dbg(dp[i][j]) <<"\n";
}
}
else{
for(int j = 1; j <= i; j++){
int place_point = (j > 1 ? j - (i > start_point) - (i > end_point) : 1);
// Place new component at place point
dp[i][j] = add(dp[i][j], mul(dp[i-1][j-1], place_point));
// Merge 2 component
if(j+1 < i) dp[i][j] = add(dp[i][j], mul(j, dp[i-1][j+1]));
//cout << dbg(i) << dbg(j) << dbg(dp[i][j]) <<"\n";
// We don't add any elements to any component
}
}
}
cout << dp[n][1] <<"\n";
}
}
void solve()
{
cin >> n >> start_point >> end_point;
Subtask1::process();
Subtask3::process();
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#define name "InvMOD"
if(fopen(name".INP", "r")){
freopen(name".INP","r",stdin);
freopen(name".OUT","w",stdout);
}
int t = 1; //cin >> t;
while(t--) solve();
return 0;
}
Compilation message (stderr)
kangaroo.cpp: In function 'int main()':
kangaroo.cpp:122:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
122 | freopen(name".INP","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
kangaroo.cpp:123:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
123 | freopen(name".OUT","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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