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Copy pathABC_178_C.cpp
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ABC_178_C.cpp
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#include <iostream>
using namespace std;
// [i][0] => 0.9 둘다 없음
// [i][1] => 0만 있음
// [i][2] => 9만 있음
// [i][3] => 0,9 둘다 있음
long long dp[1000001][4];
int main() {
const int mod = 1e9 + 7;
int n;
cin >> n;
if (n == 1)
{
cout << 0 << endl;
return 0;
}
long long ans = 2;
dp[1][0] = 8;
dp[1][1] = 1;
dp[1][2] = 1;
for (int i = 2; i <= n; i++)
{
// ai 가 1-8
dp[i][0] += dp[i - 1][0] * 8;
dp[i][0] %= mod;
dp[i][1] += dp[i - 1][1] * 8;
dp[i][1] %= mod;
dp[i][2] += dp[i - 1][2] * 8;
dp[i][2] %= mod;
dp[i][3] += dp[i - 1][3] * 8;
dp[i][3] %= mod;
// ai 가 0
dp[i][1] += dp[i - 1][1] + dp[i - 1][0];
dp[i][1] %= mod;
dp[i][3] += dp[i - 1][3] + dp[i - 1][2];
dp[i][3] %= mod;
// ai 가 9
dp[i][2] += dp[i - 1][2] + dp[i - 1][0];
dp[i][2] %= mod;
dp[i][3] += dp[i - 1][3] + dp[i - 1][1];
dp[i][3] %= mod;
}
cout << dp[n][3] << endl;
}