結果

問題 No.793 うし数列 2
ユーザー hiromi_ayasehiromi_ayase
提出日時 2019-02-22 21:32:11
言語 Java
(openjdk 23)
結果
AC  
実行時間 74 ms / 2,000 ms
コード長 3,245 bytes
コンパイル時間 2,488 ms
コンパイル使用メモリ 88,904 KB
実行使用メモリ 51,340 KB
最終ジャッジ日時 2024-11-25 05:31:15
合計ジャッジ時間 4,567 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 2
other AC * 21
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

public class Main {
private static void solve() {
long n = nl();
//a[0] = 1, a[n] = a[n-1]*10 + 3
//a[n] + 1/3 = 10(a[n] + 1/3)
//a[n] = 10^n * 4/3 - 1/3
int mod = 1000000000 + 7;
long inv3 = invl(3, mod);
long e = pow(10, n, mod) * 4 % mod * inv3 % mod + mod - inv3;
e %= mod;
System.out.println(e);
}
public static long invl(long a, long mod)
{
long b = mod;
long p = 1, q = 0;
while(b > 0){
long c = a / b;
long d;
d = a; a = b; b = d % b;
d = p; p = q; q = d - c * q;
}
return p < 0 ? p + mod : p;
}
public static long pow(long a, long n, long mod)
{
long ret = 1;
int x = 63-Long.numberOfLeadingZeros(n);
for(;x >= 0;x--){
ret = ret * ret % mod;
if(n<<~x<0)ret = ret * a % mod;
}
return ret;
}
public static void main(String[] args) {
new Thread(null, new Runnable() {
@Override
public void run() {
long start = System.currentTimeMillis();
String debug = args.length > 0 ? args[0] : null;
if (debug != null) {
try {
is = java.nio.file.Files.newInputStream(java.nio.file.Paths.get(debug));
} catch (Exception e) {
throw new RuntimeException(e);
}
}
reader = new java.io.BufferedReader(new java.io.InputStreamReader(is), 32768);
solve();
out.flush();
tr((System.currentTimeMillis() - start) + "ms");
}
}, "", 64000000).start();
}
private static java.io.InputStream is = System.in;
private static java.io.PrintWriter out = new java.io.PrintWriter(System.out);
private static java.util.StringTokenizer tokenizer = null;
private static java.io.BufferedReader reader;
public static String next() {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
try {
tokenizer = new java.util.StringTokenizer(reader.readLine());
} catch (Exception e) {
throw new RuntimeException(e);
}
}
return tokenizer.nextToken();
}
private static double nd() {
return Double.parseDouble(next());
}
private static long nl() {
return Long.parseLong(next());
}
private static int[] na(int n) {
int[] a = new int[n];
for (int i = 0; i < n; i++)
a[i] = ni();
return a;
}
private static char[] ns() {
return next().toCharArray();
}
private static long[] nal(int n) {
long[] a = new long[n];
for (int i = 0; i < n; i++)
a[i] = nl();
return a;
}
private static int[][] ntable(int n, int m) {
int[][] table = new int[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
table[i][j] = ni();
}
}
return table;
}
private static int[][] nlist(int n, int m) {
int[][] table = new int[m][n];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
table[j][i] = ni();
}
}
return table;
}
private static int ni() {
return Integer.parseInt(next());
}
private static void tr(Object... o) {
if (is != System.in)
System.out.println(java.util.Arrays.deepToString(o));
}
}
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