結果
| 問題 | No.1403 調和の魔法陣 |
| ユーザー |
 uwi
|
| 提出日時 | 2021-02-20 00:46:22 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
AC
|
| 実行時間 | 1,967 ms / 3,153 ms |
| コード長 | 13,884 bytes |
| コンパイル時間 | 5,211 ms |
| コンパイル使用メモリ | 92,564 KB |
| 実行使用メモリ | 57,268 KB |
| 最終ジャッジ日時 | 2024-09-17 03:06:25 |
| 合計ジャッジ時間 | 29,866 ms |
|
ジャッジサーバーID （参考情報） |
judge6 / judge4 |
（要ログイン）
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 | 84 ms
51,008 KB |
| testcase_01 | AC | 84 ms
51,060 KB |
| testcase_02 | AC | 75 ms
51,020 KB |
| testcase_03 | AC | 238 ms
53,124 KB |
| testcase_04 | AC | 269 ms
56,244 KB |
| testcase_05 | AC | 279 ms
57,268 KB |
| testcase_06 | AC | 775 ms
54,532 KB |
| testcase_07 | AC | 924 ms
54,544 KB |
| testcase_08 | AC | 1,072 ms
54,492 KB |
| testcase_09 | AC | 1,259 ms
54,628 KB |
| testcase_10 | AC | 1,436 ms
54,660 KB |
| testcase_11 | AC | 1,615 ms
54,812 KB |
| testcase_12 | AC | 1,763 ms
54,716 KB |
| testcase_13 | AC | 1,878 ms
54,704 KB |
| testcase_14 | AC | 1,967 ms
54,904 KB |
| testcase_15 | AC | 1,871 ms
54,684 KB |
| testcase_16 | AC | 1,766 ms
54,672 KB |
| testcase_17 | AC | 1,607 ms
54,828 KB |
| testcase_18 | AC | 1,473 ms
54,708 KB |
| testcase_19 | AC | 1,273 ms
54,572 KB |
| testcase_20 | AC | 1,062 ms
54,688 KB |
| testcase_21 | AC | 921 ms
54,700 KB |
ソースコード
package contest210219;
import java.io.*;
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.Queue;
public class D2 {
InputStream is;
FastWriter out;
String INPUT = "";
long get22(int h, int w, int x)
{
long ret = 0;
for (int A = 0; A <= 9; A++) {
for (int mint0 = 0; mint0 <= A; mint0++) {
for (int maxt0 = A; maxt0 <= 9; maxt0++) {
for (int mint1 = 0; mint1 <= 9; mint1++) {
for (int maxt1 = mint1; maxt1 <= 9; maxt1++) {
int gsup = Math.min(9, Math.min(x - A - maxt1, 9 - A + mint0));
int ginf = Math.max(0, Math.max(x - A - mint1 - 9, maxt0 - A));
int hsup = Math.min(9, Math.min(A + mint1, 9+A-maxt0));
int hinf = Math.max(0, Math.max(A + maxt1-9, A-mint0));
if (h <= 2) {
if (ginf <= gsup) {
ret += ps[gsup - ginf + 1][h/3+1] * f(mint0, maxt0, w / 3 + 1, A) % mod *
f(mint1, maxt1, w / 3 + 1);
ret %= mod;
}
} else {
if (ginf <= gsup && hinf <= hsup) {
ret += ps[gsup-ginf+1][h/3+1] * ps[hsup-hinf+1][h/3] % mod * f(mint0, maxt0, w / 3 + 1, A) % mod *
f(mint1, maxt1, w / 3 + 1);
ret %= mod;
}
}
}
}
}
}
}
return ret;
}
long[][] ps = new long[11][300];
long f(int inf, int sup, int num)
{
if(sup == inf)return 1;
return gya[sup-inf-1][num];
// return (ps[sup-inf+1][num] - ps[sup-inf][num]*2 + ps[sup-inf-1][num] + 2*mod) % mod;
// return (pow(sup-inf+1, num, mod) - pow(sup-inf, num, mod) * 2 + pow(sup-inf-1, num, mod) +2*mod) % mod;
}
long f(int inf, int sup, int num, int A)
{
if(inf == sup){
return 1;
}else if(inf == A || sup == A) {
return gya2[sup-inf][num-1];
// return (ps[sup-inf+1][num-1] - ps[sup-inf][num-1] + mod) % mod;
// return (pow(sup - inf + 1, num-1, mod) - pow(sup - inf, num-1, mod) + mod) % mod;
}else{
return gya[sup-inf-1][num-1];
// return (ps[sup-inf+1][num-1] - ps[sup-inf][num-1] * 2 + ps[sup-inf-1][num-1] + 2*mod) % mod;
// return (pow(sup-inf+1, num-1, mod) - pow(sup-inf, num-1, mod) * 2 + pow(sup-inf-1, num-1, mod) + 2*mod)% mod;
}
}
long[][] gya = new long[9][300];
long[][] gya2 = new long[10][300];
long[] c12 = new long[37];
public void solve() {
for(int i = 0;i < 11;i++){
ps[i][0] = 1;
for(int j = 1;j < 300;j++){
ps[i][j] = ps[i][j-1] * i % mod;
}
}
for(int i = 0;i < 9;i++){
for(int j = 0;j < 300;j++){
gya[i][j] = (ps[i+2][j] - ps[i+1][j] * 2 + ps[i][j] + 2*mod) % mod;
}
}
for(int i= 0;i < 10;i++){
for(int j = 0;j < 300;j++){
gya2[i][j] = (ps[i+1][j] - ps[i][j] + mod) % mod;
}
}
for(int i = 0;i <= 9;i++){
for(int j = 0;j <= 9;j++){
int s = i+j;
c12[s]++;
}
}
for (int T = ni(); T > 0; T--) go();
}
final int mod = 998244353;
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;
}
void go()
{
int w = ni(), h = ni(), x = ni();
if(x > 36){
out.println(0);
return;
}
if(x == 0){
out.println(1);
return;
}
// 1120
// 1102
// 2030
// 2010
// ab
// cd
// c+d=e+f
// ef
// 2x2
if(w % 3 == 2 && h % 3 == 2){
out.println(get22(h, w, x));
return;
}
long ans = 0;
// 1x2
if(x <= 18){
if(w % 3 == 2) {
ans += pow(c12[x], (h+2)/3, mod);
out.println(ans%mod);
return;
}
if(h % 3 == 2){
ans += pow(c12[x], (w+2)/3, mod);
out.println(ans%mod);
return;
}
}
if(x <= 9){
ans++;
}
out.println(ans%mod);
}
public static void main(String[] args) {
new D2().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 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(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 println(int... xs) { return writeln(xs); }
public FastWriter println(long... xs) { return writeln(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)); }
}