#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef pair<int, int> pi;
#define debug(x) cerr << #x << ": " << x << endl
#define debug2(x, y) debug(x), debug(y)
#define repn(i, a, b) for(int i = (int)(a); i < (int)(b); i++)
#define rep(i, a) for(int i = 0; i < (int)(a); i++)
#define all(v) v.begin(), v.end()
#define mp make_pair
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define fi first
#define se second
#define sq(x) ((x) * (x))
template<class T> T gcd(T a, T b){ return ((b == 0) ? a : gcd(b, a % b)); }
string dp[105][105];
int g1[105][105];
string add(string ans, string s){
string ans1 = "";
int carry = 0;
if(s.size() > ans.size()) swap(ans, s);
rep(j, ans.size()){
if((int)s.size() > j){
int cur = (ans[j] - '0') + (s[j] - '0') + carry;
carry = 0;
ans1 += (char)((cur - ((cur / 10) * 10) + '0'));
if(cur >= 10) carry = cur / 10;
}
else{
int cur = (ans[j] - '0') + carry;
carry = 0;
ans1 += (char)((cur - ((cur / 10) * 10) + '0'));
if(cur >= 10) carry = cur / 10;
}
}
if(carry) ans1 += (char)(carry + '0');
ans = ans1;
return ans;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
//freopen("input.in", "r", stdin);
//freopen("output.out", "w", stdout);
int n;
cin >> n;
rep(i, n) rep(j, n){
cin >> g1[i][j];
}
rep(i, n) rep(j, n) dp[i][j] = "0";
dp[0][0] = "1";
rep(i, n) rep(j, n){
if(!i && !j) continue;
for(int k = i - 1; k >= 0; k--){
if(g1[k][j] == (i - k)) dp[i][j] = add(dp[i][j], dp[k][j]);
}
for(int k = j - 1; k >= 0; k--){
if(g1[i][k] == (j - k)) dp[i][j] = add(dp[i][j], dp[i][k]);
}
}
reverse(all(dp[n - 1][n - 1]));
cout << dp[n - 1][n - 1] << endl;
return 0;
}
/*
Things to look out for:
- Integer overflows
- Array bounds
- Special cases
Be careful!
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
640 KB |
Output is correct |
2 |
Correct |
1 ms |
640 KB |
Output is correct |
3 |
Correct |
1 ms |
640 KB |
Output is correct |
4 |
Correct |
1 ms |
640 KB |
Output is correct |
5 |
Correct |
1 ms |
640 KB |
Output is correct |
6 |
Correct |
1 ms |
640 KB |
Output is correct |
7 |
Correct |
1 ms |
692 KB |
Output is correct |
8 |
Correct |
1 ms |
640 KB |
Output is correct |
9 |
Correct |
1 ms |
640 KB |
Output is correct |
10 |
Correct |
1 ms |
640 KB |
Output is correct |
11 |
Correct |
1 ms |
640 KB |
Output is correct |
12 |
Correct |
1 ms |
640 KB |
Output is correct |
13 |
Correct |
1 ms |
640 KB |
Output is correct |
14 |
Correct |
1 ms |
640 KB |
Output is correct |
15 |
Correct |
3 ms |
768 KB |
Output is correct |
16 |
Correct |
6 ms |
896 KB |
Output is correct |
17 |
Correct |
5 ms |
768 KB |
Output is correct |
18 |
Correct |
8 ms |
1024 KB |
Output is correct |
19 |
Correct |
6 ms |
896 KB |
Output is correct |
20 |
Correct |
11 ms |
1152 KB |
Output is correct |