結果
問題 | No.1504 ヌメロニム |
ユーザー | uwi |
提出日時 | 2021-05-08 15:27:33 |
言語 | Java21 (openjdk 21) |
結果 |
AC
|
実行時間 | 1,517 ms / 2,000 ms |
コード長 | 24,084 bytes |
コンパイル時間 | 6,198 ms |
コンパイル使用メモリ | 94,216 KB |
実行使用メモリ | 141,576 KB |
最終ジャッジ日時 | 2024-09-16 20:19:36 |
合計ジャッジ時間 | 41,379 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 103 ms
42,596 KB |
testcase_01 | AC | 107 ms
42,580 KB |
testcase_02 | AC | 107 ms
42,368 KB |
testcase_03 | AC | 108 ms
42,572 KB |
testcase_04 | AC | 108 ms
42,540 KB |
testcase_05 | AC | 106 ms
42,548 KB |
testcase_06 | AC | 106 ms
42,520 KB |
testcase_07 | AC | 106 ms
42,120 KB |
testcase_08 | AC | 106 ms
42,496 KB |
testcase_09 | AC | 105 ms
42,320 KB |
testcase_10 | AC | 107 ms
42,376 KB |
testcase_11 | AC | 106 ms
42,476 KB |
testcase_12 | AC | 111 ms
42,496 KB |
testcase_13 | AC | 105 ms
42,420 KB |
testcase_14 | AC | 107 ms
42,548 KB |
testcase_15 | AC | 106 ms
42,564 KB |
testcase_16 | AC | 106 ms
42,460 KB |
testcase_17 | AC | 106 ms
42,168 KB |
testcase_18 | AC | 107 ms
42,128 KB |
testcase_19 | AC | 106 ms
42,124 KB |
testcase_20 | AC | 169 ms
44,320 KB |
testcase_21 | AC | 130 ms
43,188 KB |
testcase_22 | AC | 165 ms
44,276 KB |
testcase_23 | AC | 107 ms
42,520 KB |
testcase_24 | AC | 1,473 ms
139,496 KB |
testcase_25 | AC | 909 ms
97,836 KB |
testcase_26 | AC | 1,485 ms
141,576 KB |
testcase_27 | AC | 929 ms
99,668 KB |
testcase_28 | AC | 936 ms
99,680 KB |
testcase_29 | AC | 1,212 ms
140,804 KB |
testcase_30 | AC | 1,232 ms
140,736 KB |
testcase_31 | AC | 927 ms
99,000 KB |
testcase_32 | AC | 925 ms
99,560 KB |
testcase_33 | AC | 1,114 ms
140,344 KB |
testcase_34 | AC | 491 ms
57,348 KB |
testcase_35 | AC | 488 ms
56,224 KB |
testcase_36 | AC | 922 ms
80,396 KB |
testcase_37 | AC | 355 ms
53,184 KB |
testcase_38 | AC | 1,504 ms
141,084 KB |
testcase_39 | AC | 1,517 ms
140,892 KB |
testcase_40 | AC | 1,250 ms
141,232 KB |
testcase_41 | AC | 1,236 ms
141,148 KB |
testcase_42 | AC | 1,478 ms
141,064 KB |
testcase_43 | AC | 1,459 ms
141,268 KB |
testcase_44 | AC | 1,109 ms
141,124 KB |
testcase_45 | AC | 1,229 ms
141,076 KB |
testcase_46 | AC | 1,496 ms
141,092 KB |
testcase_47 | AC | 1,500 ms
141,128 KB |
testcase_48 | AC | 937 ms
99,232 KB |
testcase_49 | AC | 918 ms
98,220 KB |
testcase_50 | AC | 171 ms
44,212 KB |
testcase_51 | AC | 132 ms
43,076 KB |
testcase_52 | AC | 107 ms
42,596 KB |
testcase_53 | AC | 132 ms
43,240 KB |
testcase_54 | AC | 108 ms
42,308 KB |
testcase_55 | AC | 476 ms
57,304 KB |
testcase_56 | AC | 106 ms
42,576 KB |
testcase_57 | AC | 107 ms
42,168 KB |
testcase_58 | AC | 108 ms
42,476 KB |
testcase_59 | AC | 108 ms
42,380 KB |
testcase_60 | AC | 109 ms
42,592 KB |
ソースコード
package contest210507; import java.io.*; import java.util.ArrayDeque; import java.util.Arrays; import java.util.InputMismatchException; import java.util.Queue; import java.util.function.IntUnaryOperator; import java.util.function.LongUnaryOperator; public class F { InputStream is; FastWriter out; String INPUT = ""; public void solve() { int n = ni(); char[] s = ns(n); long[] is = new long[n]; long[] ns = new long[n]; for(int i = 0;i < n;i++){ if(s[i] == 'i'){ is[i] = 1; }else if(s[i] == 'n'){ ns[n-1-i] = 1; } } long[] c = NTTCRTFixedStockham.convolute2(is, ns); final int mod = 998244353; long[] f = new long[n]; for(int i = 0;i < c.length;i++){ int len = n-1-i-1; if(len < 0)continue; f[len] = c[i]; } int[][] fif = enumFIF(500000, mod); f = substitute(f, 1, fif, mod); // out.println(ans); long ans = 0; for(long v : f){ ans ^= v; } out.println(ans); // sum a[i]*(x+t)^i // b[i] = sum_j a[j]*x^i*t^(j-i)*C(j,i) // b[i] = (x^i/t^i)sum_j a[j]*t^j*C(j,i) // b[i] = x^i*sum_j a[j]*t^j*j!/(j-i)!/i!/t^i } public static int[][] enumFIF(int n, int mod) { int[] f = new int[n + 1]; int[] invf = new int[n + 1]; f[0] = 1; for (int i = 1; i <= n; i++) { f[i] = (int) ((long) f[i - 1] * i % mod); } long a = f[n]; 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; } invf[n] = (int) (p < 0 ? p + mod : p); for (int i = n - 1; i >= 0; i--) { invf[i] = (int) ((long) invf[i + 1] * (i + 1) % mod); } return new int[][]{f, invf}; } long[] substitute(long[] f, long t, int[][] fif, int mod) { long[] g = Arrays.copyOf(f, f.length); long tt = 1; for(int i = 0;i < f.length;i++){ g[i] = g[i] * tt % mod * fif[0][i] % mod; tt = tt * t % mod; } long[] h = new long[f.length]; for(int i = 0;i < h.length;i++){ h[i] = fif[1][h.length-1-i]; } long[] res = mul(g, h); long[] ret = new long[f.length]; tt = 1; for(int i = 0;i < f.length;i++) { ret[i] = res[h.length-1 + i] * tt % mod * fif[1][i] % mod; tt = tt * t % mod; } return ret; } public static long[] mul(long[] a, long[] b) { return Arrays.copyOf(NTTStockham998244353.convolute(a, b), a.length+b.length-1); } public static long pow(long a, long n, long mod) { // a %= mod; long ret = 1; int x = 63 - Long.numberOfLeadingZeros(n); for (; x >= 0; x--) { ret = ret * ret % mod; if (n << 63 - x < 0) ret = ret * a % mod; } return ret; } public static class NTTCRTFixedStockham { public static long[] convolute2(long[] a, long[] b) { long[][] fs = new long[][]{ NTTStockham1012924417.convolute(a, b), NTTStockham1004535809.convolute(a, b), }; for(int i = 0;i < fs[0].length;i++){ long v0 = fs[0][i]; long v1 = (fs[1][i] - v0) * 753401737 % 1004535809; if(v1 < 0)v1 += 1004535809; fs[0][i] = v1 * 1012924417 + v0; } return fs[0]; } public static long[] convolute(long[] a, long[] b, final int mod) { long[][] fs = new long[][]{ NTTStockham1012924417.convolute(a, b), NTTStockham1004535809.convolute(a, b), NTTStockham998244353.convolute(a, b) }; for(int i = 0;i < fs[0].length;i++){ long v0 = fs[0][i]; long v1 = (fs[1][i] - v0) * 753401737 % 1004535809; if(v1 < 0)v1 += 1004535809; long temp = (v1 * 1012924417 + v0) % 998244353; long v2 = (fs[2][i] - temp) * 332758907 % 998244353; if(v2 < 0)v2 += 998244353; long ret = v2; ret = (ret * 1004535809 + v1) % mod; ret = (ret * 1012924417 + v0) % mod; fs[0][i] = ret; } return fs[0]; } public static long[] convolute3(long[] a, long[] b) { long[][] fs = new long[][]{ NTTStockham1012924417.convolute(a, b), NTTStockham1004535809.convolute(a, b), NTTStockham998244353.convolute(a, b) }; for(int i = 0;i < fs[0].length;i++){ long v0 = fs[0][i]; long v1 = (fs[1][i] - v0) * 753401737 % 1004535809; if(v1 < 0)v1 += 1004535809; long temp = (v1 * 1012924417 + v0) % 998244353; long v2 = (fs[2][i] - temp) * 332758907 % 998244353; if(v2 < 0)v2 += 998244353; long ret = v2; ret = (ret * 1004535809 + v1); ret = (ret * 1012924417 + v0); fs[0][i] = ret; } return fs[0]; } } public static class NTTStockham998244353 { private static final int P = 998244353, mod = P, G = 3; private static long[] wps; public static long[] convolute(long[] a, long[] b) { int m = Math.max(2, Integer.highestOneBit(Math.max(a.length, b.length)-1)<<2); wps = new long[m]; long unit = pow(G, (P-1)/m); wps[0] = 1; for(int p = 1;p < m;p++) { wps[p] = wps[p-1] * unit % mod; } long[] fa = go(a, m, false); long[] fb = a == b ? fa : go(b, m, false); for(int i = 0;i < m;i++){ fa[i] = fa[i]*fb[i] % mod; } fa = go(fa, m, true); for(int i = 1, j = m-1;i < j;i++,j--) { long d = fa[i]; fa[i] = fa[j]; fa[j] = d; } return fa; } private static void fft(long[] X, long[] Y) { int s = 1; boolean eo = false; for(int n = X.length;n >= 4;n /= 2) { int m = n/2; for(int p = 0;p < m;p++) { long wp = wps[s*p]; long wk = (wp<<32)/P; for(int q = 0;q < s;q++) { long a = X[q + s*(p+0)]; long b = X[q + s*(p+m)]; long ndsts = a + b; if(ndsts >= 2*P)ndsts -= 2*P; long T = a - b + 2*P; long Q = wk*T>>>32; Y[q + s*(2*p+0)] = ndsts; Y[q + s*(2*p+1)] = wp*T-Q*P&(1L<<32)-1; } } s *= 2; eo = !eo; long[] D = X; X = Y; Y = D; } long[] z = eo ? Y : X; for(int q = 0;q < s;q++) { long a = X[q + 0]; long b = X[q + s]; z[q+0] = (a+b) % P; z[q+s] = (a-b+2*P) % P; } } // private static void fft(long[] X, long[] Y) // { // int s = 1; // boolean eo = false; // for(int n = X.length;n >= 4;n /= 2) { // int m = n/2; // for(int p = 0;p < m;p++) { // long wp = wps[s*p]; // for(int q = 0;q < s;q++) { // long a = X[q + s*(p+0)]; // long b = X[q + s*(p+m)]; // Y[q + s*(2*p+0)] = (a+b) % P; // Y[q + s*(2*p+1)] = (a-b+P) * wp % P; // } // } // s *= 2; // eo = !eo; // long[] D = X; X = Y; Y = D; // } // long[] z = eo ? Y : X; // for(int q = 0;q < s;q++) { // long a = X[q + 0]; // long b = X[q + s]; // z[q+0] = (a+b) % P; // z[q+s] = (a-b+P) % P; // } // } private static long[] go(long[] src, int n, boolean inverse) { long[] dst = Arrays.copyOf(src, n); fft(dst, new long[n]); if(inverse){ long in = invl(n); for(int i = 0;i < n;i++){ dst[i] = dst[i] * in % mod; } } return dst; } private static long pow(long a, long n) { // a %= 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; } private static long invl(long a) { 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 class NTTStockham1012924417 { private static final int P = 1012924417, mod = P, G = 5; private static long[] wps; public static long[] convolute(long[] a, long[] b) { int m = Math.max(2, Integer.highestOneBit(Math.max(a.length, b.length)-1)<<2); wps = new long[m]; long unit = pow(G, (P-1)/m); wps[0] = 1; for(int p = 1;p < m;p++) { wps[p] = wps[p-1] * unit % mod; } long[] fa = go(a, m, false); long[] fb = a == b ? fa : go(b, m, false); for(int i = 0;i < m;i++){ fa[i] = fa[i]*fb[i] % mod; } fa = go(fa, m, true); for(int i = 1, j = m-1;i < j;i++,j--) { long d = fa[i]; fa[i] = fa[j]; fa[j] = d; } return fa; } private static void fft(long[] X, long[] Y) { int s = 1; boolean eo = false; for(int n = X.length;n >= 4;n /= 2) { int m = n/2; for(int p = 0;p < m;p++) { long wp = wps[s*p]; long wk = (wp<<32)/P; for(int q = 0;q < s;q++) { long a = X[q + s*(p+0)]; long b = X[q + s*(p+m)]; long ndsts = a + b; if(ndsts >= 2*P)ndsts -= 2*P; long T = a - b + 2*P; long Q = wk*T>>>32; Y[q + s*(2*p+0)] = ndsts; Y[q + s*(2*p+1)] = wp*T-Q*P&(1L<<32)-1; } } s *= 2; eo = !eo; long[] D = X; X = Y; Y = D; } long[] z = eo ? Y : X; for(int q = 0;q < s;q++) { long a = X[q + 0]; long b = X[q + s]; z[q+0] = (a+b) % P; z[q+s] = (a-b+2*P) % P; } } // private static void fft(long[] X, long[] Y) // { // int s = 1; // boolean eo = false; // for(int n = X.length;n >= 4;n /= 2) { // int m = n/2; // for(int p = 0;p < m;p++) { // long wp = wps[s*p]; // for(int q = 0;q < s;q++) { // long a = X[q + s*(p+0)]; // long b = X[q + s*(p+m)]; // Y[q + s*(2*p+0)] = (a+b) % P; // Y[q + s*(2*p+1)] = (a-b+P) * wp % P; // } // } // s *= 2; // eo = !eo; // long[] D = X; X = Y; Y = D; // } // long[] z = eo ? Y : X; // for(int q = 0;q < s;q++) { // long a = X[q + 0]; // long b = X[q + s]; // z[q+0] = (a+b) % P; // z[q+s] = (a-b+P) % P; // } // } private static long[] go(long[] src, int n, boolean inverse) { long[] dst = Arrays.copyOf(src, n); fft(dst, new long[n]); if(inverse){ long in = invl(n); for(int i = 0;i < n;i++){ dst[i] = dst[i] * in % mod; } } return dst; } private static long pow(long a, long n) { // a %= 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; } private static long invl(long a) { 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 class NTTStockham1004535809 { private static final int P = 1004535809, mod = P, G = 3; private static long[] wps; public static long[] convolute(long[] a, long[] b) { int m = Math.max(2, Integer.highestOneBit(Math.max(a.length, b.length)-1)<<2); wps = new long[m]; long unit = pow(G, (P-1)/m); wps[0] = 1; for(int p = 1;p < m;p++) { wps[p] = wps[p-1] * unit % mod; } long[] fa = go(a, m, false); long[] fb = a == b ? fa : go(b, m, false); for(int i = 0;i < m;i++){ fa[i] = fa[i]*fb[i] % mod; } fa = go(fa, m, true); for(int i = 1, j = m-1;i < j;i++,j--) { long d = fa[i]; fa[i] = fa[j]; fa[j] = d; } return fa; } private static void fft(long[] X, long[] Y) { int s = 1; boolean eo = false; for(int n = X.length;n >= 4;n /= 2) { int m = n/2; for(int p = 0;p < m;p++) { long wp = wps[s*p]; long wk = (wp<<32)/P; for(int q = 0;q < s;q++) { long a = X[q + s*(p+0)]; long b = X[q + s*(p+m)]; long ndsts = a + b; if(ndsts >= 2*P)ndsts -= 2*P; long T = a - b + 2*P; long Q = wk*T>>>32; Y[q + s*(2*p+0)] = ndsts; Y[q + s*(2*p+1)] = wp*T-Q*P&(1L<<32)-1; } } s *= 2; eo = !eo; long[] D = X; X = Y; Y = D; } long[] z = eo ? Y : X; for(int q = 0;q < s;q++) { long a = X[q + 0]; long b = X[q + s]; z[q+0] = (a+b) % P; z[q+s] = (a-b+2*P) % P; } } // private static void fft(long[] X, long[] Y) // { // int s = 1; // boolean eo = false; // for(int n = X.length;n >= 4;n /= 2) { // int m = n/2; // for(int p = 0;p < m;p++) { // long wp = wps[s*p]; // for(int q = 0;q < s;q++) { // long a = X[q + s*(p+0)]; // long b = X[q + s*(p+m)]; // Y[q + s*(2*p+0)] = (a+b) % P; // Y[q + s*(2*p+1)] = (a-b+P) * wp % P; // } // } // s *= 2; // eo = !eo; // long[] D = X; X = Y; Y = D; // } // long[] z = eo ? Y : X; // for(int q = 0;q < s;q++) { // long a = X[q + 0]; // long b = X[q + s]; // z[q+0] = (a+b) % P; // z[q+s] = (a-b+P) % P; // } // } private static long[] go(long[] src, int n, boolean inverse) { long[] dst = Arrays.copyOf(src, n); fft(dst, new long[n]); if(inverse){ long in = invl(n); for(int i = 0;i < n;i++){ dst[i] = dst[i] * in % mod; } } return dst; } private static long pow(long a, long n) { // a %= 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; } private static long invl(long a) { 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 void main(String[] args) { new F().run(); } public void run() { long S = System.currentTimeMillis(); is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new FastWriter(System.out); solve(); out.flush(); long G = System.currentTimeMillis(); tr(G-S+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } private boolean eof() { if(lenbuf == -1)return true; int lptr = ptrbuf; while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false; try { is.mark(1000); while(true){ int b = is.read(); if(b == -1){ is.reset(); return true; }else if(!isSpaceChar(b)){ is.reset(); return false; } } } catch (IOException e) { return true; } } private final byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } // private boolean isSpaceChar(int c) { return !(c >= 32 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private int ni() { int num = 0, b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } public static class FastWriter { private static final int BUF_SIZE = 1<<13; private final byte[] buf = new byte[BUF_SIZE]; private final OutputStream out; private int ptr = 0; private FastWriter(){out = null;} public FastWriter(OutputStream os) { this.out = os; } public FastWriter(String path) { try { this.out = new FileOutputStream(path); } catch (FileNotFoundException e) { throw new RuntimeException("FastWriter"); } } public FastWriter write(byte b) { buf[ptr++] = b; if(ptr == BUF_SIZE)innerflush(); return this; } public FastWriter write(char c) { return write((byte)c); } public FastWriter write(char[] s) { for(char c : s){ buf[ptr++] = (byte)c; if(ptr == BUF_SIZE)innerflush(); } return this; } public FastWriter write(String s) { s.chars().forEach(c -> { buf[ptr++] = (byte)c; if(ptr == BUF_SIZE)innerflush(); }); return this; } private static int countDigits(int l) { if (l >= 1000000000) return 10; if (l >= 100000000) return 9; if (l >= 10000000) return 8; if (l >= 1000000) return 7; if (l >= 100000) return 6; if (l >= 10000) return 5; if (l >= 1000) return 4; if (l >= 100) return 3; if (l >= 10) return 2; return 1; } public FastWriter write(int x) { if(x == Integer.MIN_VALUE){ return write((long)x); } if(ptr + 12 >= BUF_SIZE)innerflush(); if(x < 0){ write((byte)'-'); x = -x; } int d = countDigits(x); for(int i = ptr + d - 1;i >= ptr;i--){ buf[i] = (byte)('0'+x%10); x /= 10; } ptr += d; return this; } private static int countDigits(long l) { if (l >= 1000000000000000000L) return 19; if (l >= 100000000000000000L) return 18; if (l >= 10000000000000000L) return 17; if (l >= 1000000000000000L) return 16; if (l >= 100000000000000L) return 15; if (l >= 10000000000000L) return 14; if (l >= 1000000000000L) return 13; if (l >= 100000000000L) return 12; if (l >= 10000000000L) return 11; if (l >= 1000000000L) return 10; if (l >= 100000000L) return 9; if (l >= 10000000L) return 8; if (l >= 1000000L) return 7; if (l >= 100000L) return 6; if (l >= 10000L) return 5; if (l >= 1000L) return 4; if (l >= 100L) return 3; if (l >= 10L) return 2; return 1; } public FastWriter write(long x) { if(x == Long.MIN_VALUE){ return write("" + x); } if(ptr + 21 >= BUF_SIZE)innerflush(); if(x < 0){ write((byte)'-'); x = -x; } int d = countDigits(x); for(int i = ptr + d - 1;i >= ptr;i--){ buf[i] = (byte)('0'+x%10); x /= 10; } ptr += d; return this; } public FastWriter write(double x, int precision) { if(x < 0){ write('-'); x = -x; } x += Math.pow(10, -precision)/2; // if(x < 0){ x = 0; } write((long)x).write("."); x -= (long)x; for(int i = 0;i < precision;i++){ x *= 10; write((char)('0'+(int)x)); x -= (int)x; } return this; } public FastWriter writeln(char c){ return write(c).writeln(); } public FastWriter writeln(int x){ return write(x).writeln(); } public FastWriter writeln(long x){ return write(x).writeln(); } public FastWriter writeln(double x, int precision){ return write(x, precision).writeln(); } public FastWriter write(int... xs) { boolean first = true; for(int x : xs) { if (!first) write(' '); first = false; write(x); } return this; } public FastWriter write(long... xs) { boolean first = true; for(long x : xs) { if (!first) write(' '); first = false; write(x); } return this; } public FastWriter write(IntUnaryOperator f, int... xs) { boolean first = true; for(int x : xs) { if (!first) write(' '); first = false; write(f.applyAsInt(x)); } return this; } public FastWriter write(LongUnaryOperator f, long... xs) { boolean first = true; for(long x : xs) { if (!first) write(' '); first = false; write(f.applyAsLong(x)); } return this; } public FastWriter writeln() { return write((byte)'\n'); } public FastWriter writeln(int... xs) { return write(xs).writeln(); } public FastWriter writeln(long... xs) { return write(xs).writeln(); } public FastWriter writeln(IntUnaryOperator f, int... xs) { return write(f, xs).writeln(); } public FastWriter writeln(LongUnaryOperator f, long... xs) { return write(f, xs).writeln(); } public FastWriter writeln(char[] line) { return write(line).writeln(); } public FastWriter writeln(char[]... map) { for(char[] line : map)write(line).writeln();return this; } public FastWriter writeln(String s) { return write(s).writeln(); } private void innerflush() { try { out.write(buf, 0, ptr); ptr = 0; } catch (IOException e) { throw new RuntimeException("innerflush"); } } public void flush() { innerflush(); try { out.flush(); } catch (IOException e) { throw new RuntimeException("flush"); } } public FastWriter print(byte b) { return write(b); } public FastWriter print(char c) { return write(c); } public FastWriter print(char[] s) { return write(s); } public FastWriter print(String s) { return write(s); } public FastWriter print(int x) { return write(x); } public FastWriter print(long x) { return write(x); } public FastWriter print(double x, int precision) { return write(x, precision); } public FastWriter println(char c){ return writeln(c); } public FastWriter println(int x){ return writeln(x); } public FastWriter println(long x){ return writeln(x); } public FastWriter println(double x, int precision){ return writeln(x, precision); } public FastWriter print(int... xs) { return write(xs); } public FastWriter print(long... xs) { return write(xs); } public FastWriter print(IntUnaryOperator f, int... xs) { return write(f, xs); } public FastWriter print(LongUnaryOperator f, long... xs) { return write(f, xs); } public FastWriter println(int... xs) { return writeln(xs); } public FastWriter println(long... xs) { return writeln(xs); } public FastWriter println(IntUnaryOperator f, int... xs) { return writeln(f, xs); } public FastWriter println(LongUnaryOperator f, long... xs) { return writeln(f, xs); } public FastWriter println(char[] line) { return writeln(line); } public FastWriter println(char[]... map) { return writeln(map); } public FastWriter println(String s) { return writeln(s); } public FastWriter println() { return writeln(); } } public static void trnz(int... o) { for(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+":"+o[i]+" "); System.out.println(); } // print ids which are 1 public static void trt(long... o) { Queue<Integer> stands = new ArrayDeque<>(); for(int i = 0;i < o.length;i++){ for(long x = o[i];x != 0;x &= x-1)stands.add(i<<6|Long.numberOfTrailingZeros(x)); } System.out.println(stands); } public static void tf(boolean... r) { for(boolean x : r)System.out.print(x?'#':'.'); System.out.println(); } public static void tf(boolean[]... b) { for(boolean[] r : b) { for(boolean x : r)System.out.print(x?'#':'.'); System.out.println(); } System.out.println(); } public void tf(long[]... b) { if(INPUT.length() != 0) { for (long[] r : b) { for (long x : r) { for (int i = 0; i < 64; i++) { System.out.print(x << ~i < 0 ? '#' : '.'); } } System.out.println(); } System.out.println(); } } public void tf(long... b) { if(INPUT.length() != 0) { for (long x : b) { for (int i = 0; i < 64; i++) { System.out.print(x << ~i < 0 ? '#' : '.'); } } System.out.println(); } } private void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); } }