結果
| 問題 | No.1502 Many Simple Additions |
| ユーザー |
 遭難者
|
| 提出日時 | 2021-04-21 00:21:39 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
AC
|
| 実行時間 | 696 ms / 2,000 ms |
| コード長 | 36,575 bytes |
| コンパイル時間 | 3,818 ms |
| コンパイル使用メモリ | 93,868 KB |
| 実行使用メモリ | 85,344 KB |
| 最終ジャッジ日時 | 2023-10-13 22:24:45 |
| 合計ジャッジ時間 | 14,137 ms |
|
ジャッジサーバーID （参考情報） |
judge13 / judge11 |
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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 | 61 ms
50,120 KB |
| testcase_01 | AC | 61 ms
50,196 KB |
| testcase_02 | AC | 61 ms
50,108 KB |
| testcase_03 | AC | 60 ms
50,220 KB |
| testcase_04 | AC | 60 ms
50,196 KB |
| testcase_05 | AC | 61 ms
50,008 KB |
| testcase_06 | AC | 60 ms
50,140 KB |
| testcase_07 | AC | 60 ms
50,076 KB |
| testcase_08 | AC | 60 ms
50,376 KB |
| testcase_09 | AC | 59 ms
50,156 KB |
| testcase_10 | AC | 59 ms
50,128 KB |
| testcase_11 | AC | 62 ms
50,024 KB |
| testcase_12 | AC | 59 ms
50,172 KB |
| testcase_13 | AC | 59 ms
50,100 KB |
| testcase_14 | AC | 60 ms
50,160 KB |
| testcase_15 | AC | 60 ms
50,012 KB |
| testcase_16 | AC | 60 ms
50,404 KB |
| testcase_17 | AC | 62 ms
50,112 KB |
| testcase_18 | AC | 62 ms
50,096 KB |
| testcase_19 | AC | 62 ms
50,080 KB |
| testcase_20 | AC | 62 ms
50,160 KB |
| testcase_21 | AC | 62 ms
50,128 KB |
| testcase_22 | AC | 65 ms
50,024 KB |
| testcase_23 | AC | 62 ms
50,232 KB |
| testcase_24 | AC | 61 ms
50,184 KB |
| testcase_25 | AC | 59 ms
50,372 KB |
| testcase_26 | AC | 60 ms
50,052 KB |
| testcase_27 | AC | 400 ms
83,764 KB |
| testcase_28 | AC | 398 ms
83,756 KB |
| testcase_29 | AC | 211 ms
66,644 KB |
| testcase_30 | AC | 693 ms
84,972 KB |
| testcase_31 | AC | 696 ms
85,344 KB |
| testcase_32 | AC | 692 ms
84,684 KB |
| testcase_33 | AC | 382 ms
69,304 KB |
| testcase_34 | AC | 399 ms
70,484 KB |
| testcase_35 | AC | 389 ms
70,716 KB |
| testcase_36 | AC | 224 ms
63,256 KB |
| testcase_37 | AC | 221 ms
63,196 KB |
| testcase_38 | AC | 317 ms
66,828 KB |
| testcase_39 | AC | 203 ms
61,680 KB |
| testcase_40 | AC | 267 ms
64,476 KB |
| testcase_41 | AC | 166 ms
59,868 KB |
| testcase_42 | AC | 631 ms
83,640 KB |
| testcase_43 | AC | 58 ms
50,060 KB |
ソースコード
import java.util.*;
import java.io.*;
public class Main {
public static void solve(ContestScanner sc, ContestPrinter ou) {
long u = (long) 5e18;
int n = sc.nextInt();
int m = sc.nextInt();
int k = sc.nextInt();
assert (2 <= n && n <= 1e5);
assert (1 <= m && m <= n * (long) (n - 1) / 2 && m <= 1e5);
assert (1 <= k && k <= 1e9);
var g = new ArrayList<ArrayList<Point>>();
var d = new DSU(n);
for (int i = 0; i < n; i++)
g.add(new ArrayList<>());
for (int i = 0; i < m; i++) {
int x = sc.nextInt() - 1;
int y = sc.nextInt() - 1;
int z = sc.nextInt();
assert (0 <= x && x < n);
assert (0 <= y && y < n);
assert (x < y);
assert (1 <= z && z <= 2 * k);
g.get(x).add(new Point(y, z));
g.get(y).add(new Point(x, z));
d.merge(x, y);
}
var fa = new ModIntFactory((int) 1e9 + 7);
var P = fa.create(1);
var Q = fa.create(1);
var h = new long[2][n];
Arrays.fill(h[0], u);
Arrays.fill(h[1], u);
var q = new ArrayDeque<Point2>();
for (var G : d.groups()) {
if (G.size() == 1) {
P.mulAsg(k);
Q.mulAsg(k - 1);
} else {
int R = G.get(0);
h[0][R] = 0;
q.add(new Point2(R, true));
while (!q.isEmpty()) {
var r = q.removeFirst();
for (var i : g.get(r.x)) {
if (r.y) {
if (h[1][i.x] != u && h[1][i.x] != i.y - h[0][r.x])
P = Q = fa.create(0);
if (h[1][i.x] == u) {
h[1][i.x] = i.y - h[0][r.x];
q.addLast(new Point2(i.x, !r.y));
}
} else {
if (h[0][i.x] != u && h[0][i.x] != i.y - h[1][r.x])
P = Q = fa.create(0);
if (h[0][i.x] == u) {
h[0][i.x] = i.y - h[1][r.x];
q.addLast(new Point2(i.x, !r.y));
}
}
}
}
var no = false;
for (int i : G)
no |= h[0][i] != u && h[1][i] != u;
if (!no) {
long le = -u, le_ = u;
long ri = -u, ri_ = u;
for (int i : G) {
long t = h[0][i];
long t_ = h[1][i];
if (t != u) {
le = max(le, t);
le_ = min(le_, t);
}
if (t_ != u) {
ri = max(ri, t_);
ri_ = min(ri_, t_);
}
}
P.mulAsg(h(1 - le_, k - le, ri - k, ri_ - 1));
Q.mulAsg(h(1 - le_, k - 1 - le, ri - k + 1, ri_ - 1));
} else {
for (var i : G) {
if ((h[0][i] - h[1][i]) % 2 != 0 || (h[0][i] + h[1][i]) <= 0)
P = Q = fa.create(0);
if ((h[0][i] + h[1][i]) > 2 * k)
P = fa.create(0);
if ((h[0][i] + h[1][i]) >= 2 * k)
Q = fa.create(0);
}
}
}
}
ou.println(P.sub(Q));
}
public static long h(long p, long q, long r, long s) {
return p > q || r > s || q < r || s < p ? 0 : min(q, s) - max(p, r) + 1;
}
public static void main(String[] args) {
var sc = new ContestScanner();
var ou = new ContestPrinter();
solve(sc, ou);
ou.flush();
ou.close();
}
public static int intArray(int[] a, java.util.function.IntBinaryOperator map) {
int s = a[0];
for (int i = 1; i < a.length; i++)
s = map.applyAsInt(s, a[i]);
return s;
}
public static long longArray(long[] a, java.util.function.LongBinaryOperator map) {
long s = a[0];
for (int i = 1; i < a.length; i++)
s = map.applyAsLong(s, a[i]);
return s;
}
public static int max(int s, int... a) {
for (int i : a)
if (s < i)
s = i;
return s;
}
public static long max(long s, long... a) {
for (long i : a)
if (s < i)
s = i;
return s;
}
public static int min(int s, int... a) {
for (int i : a)
if (s > i)
s = i;
return s;
}
public static long min(long s, long... a) {
for (long i : a)
if (s > i)
s = i;
return s;
}
}
class Point {
int x;
long y;
Point(int x, long y) {
this.x = x;
this.y = y;
}
@Override
public boolean equals(Object o) {
if (o == this)
return true;
if (o.getClass() != this.getClass())
return false;
Point p = (Point) o;
return this.x == p.x && this.y == p.y;
}
@Override
public int hashCode() {
long result = x;
result = 31 * result + y;
return (int) result;
}
@Override
public String toString() {
return this.x + " " + this.y;
}
}
class Point2 {
int x;
boolean y;
Point2(int x, boolean y) {
this.x = x;
this.y = y;
}
@Override
public boolean equals(Object o) {
if (o == this)
return true;
if (o.getClass() != this.getClass())
return false;
Point2 p = (Point2) o;
return this.x == p.x && this.y == p.y;
}
@Override
public int hashCode() {
return x;
}
@Override
public String toString() {
return this.x + " " + this.y;
}
}
class DSU {
private int n;
private int[] parentOrSize;
public DSU(int n) {
this.n = n;
this.parentOrSize = new int[n];
java.util.Arrays.fill(parentOrSize, -1);
}
int merge(int a, int b) {
if (!(0 <= a && a < n))
throw new IndexOutOfBoundsException("a=" + a);
if (!(0 <= b && b < n))
throw new IndexOutOfBoundsException("b=" + b);
int x = leader(a);
int y = leader(b);
if (x == y)
return x;
if (-parentOrSize[x] < -parentOrSize[y]) {
int tmp = x;
x = y;
y = tmp;
}
parentOrSize[x] += parentOrSize[y];
parentOrSize[y] = x;
return x;
}
boolean same(int a, int b) {
if (!(0 <= a && a < n))
throw new IndexOutOfBoundsException("a=" + a);
if (!(0 <= b && b < n))
throw new IndexOutOfBoundsException("b=" + b);
return leader(a) == leader(b);
}
int leader(int a) {
if (parentOrSize[a] < 0) {
return a;
} else {
parentOrSize[a] = leader(parentOrSize[a]);
return parentOrSize[a];
}
}
int size(int a) {
if (!(0 <= a && a < n))
throw new IndexOutOfBoundsException("" + a);
return -parentOrSize[leader(a)];
}
ArrayList<ArrayList<Integer>> groups() {
int[] leaderBuf = new int[n];
int[] groupSize = new int[n];
for (int i = 0; i < n; i++) {
leaderBuf[i] = leader(i);
groupSize[leaderBuf[i]]++;
}
ArrayList<ArrayList<Integer>> result = new ArrayList<>(n);
for (int i = 0; i < n; i++)
result.add(new ArrayList<>(groupSize[i]));
for (int i = 0; i < n; i++)
result.get(leaderBuf[i]).add(i);
result.removeIf(ArrayList::isEmpty);
return result;
}
}
class ModIntFactory {
private final ModArithmetic ma;
private final int mod;
private final boolean usesMontgomery;
private final ModArithmetic.ModArithmeticMontgomery maMontgomery;
private ArrayList<Integer> factorial;
public ModIntFactory(int mod) {
this.ma = ModArithmetic.of(mod);
this.usesMontgomery = ma instanceof ModArithmetic.ModArithmeticMontgomery;
this.maMontgomery = usesMontgomery ? (ModArithmetic.ModArithmeticMontgomery) ma : null;
this.mod = mod;
this.factorial = new ArrayList<>();
}
public ModInt create(long value) {
if ((value %= mod) < 0)
value += mod;
if (usesMontgomery) {
return new ModInt(maMontgomery.generate(value));
} else {
return new ModInt((int) value);
}
}
private void prepareFactorial(int max) {
factorial.ensureCapacity(max + 1);
if (factorial.size() == 0)
factorial.add(1);
for (int i = factorial.size(); i <= max; i++) {
factorial.add(ma.mul(factorial.get(i - 1), i));
}
}
public ModInt factorial(int i) {
prepareFactorial(i);
return create(factorial.get(i));
}
public ModInt permutation(int n, int r) {
if (n < 0 || r < 0 || n < r)
return create(0);
prepareFactorial(n);
return create(ma.div(factorial.get(n), factorial.get(r)));
}
public ModInt combination(int n, int r) {
if (n < 0 || r < 0 || n < r)
return create(0);
prepareFactorial(n);
return create(ma.div(factorial.get(n), ma.mul(factorial.get(r), factorial.get(n - r))));
}
public int getMod() {
return mod;
}
public class ModInt {
private int value;
private ModInt(int value) {
this.value = value;
}
public int mod() {
return mod;
}
public int value() {
if (ma instanceof ModArithmetic.ModArithmeticMontgomery) {
return ((ModArithmetic.ModArithmeticMontgomery) ma).reduce(value);
}
return value;
}
public ModInt add(ModInt mi) {
return new ModInt(ma.add(value, mi.value));
}
public ModInt add(ModInt mi1, ModInt mi2) {
return new ModInt(ma.add(value, mi1.value)).addAsg(mi2);
}
public ModInt add(ModInt mi1, ModInt mi2, ModInt mi3) {
return new ModInt(ma.add(value, mi1.value)).addAsg(mi2).addAsg(mi3);
}
public ModInt add(ModInt mi1, ModInt mi2, ModInt mi3, ModInt mi4) {
return new ModInt(ma.add(value, mi1.value)).addAsg(mi2).addAsg(mi3).addAsg(mi4);
}
public ModInt add(ModInt mi1, ModInt... mis) {
ModInt mi = add(mi1);
for (ModInt m : mis)
mi.addAsg(m);
return mi;
}
public ModInt add(long mi) {
return new ModInt(ma.add(value, ma.remainder(mi)));
}
public ModInt sub(ModInt mi) {
return new ModInt(ma.sub(value, mi.value));
}
public ModInt sub(long mi) {
return new ModInt(ma.sub(value, ma.remainder(mi)));
}
public ModInt mul(ModInt mi) {
return new ModInt(ma.mul(value, mi.value));
}
public ModInt mul(ModInt mi1, ModInt mi2) {
return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2);
}
public ModInt mul(ModInt mi1, ModInt mi2, ModInt mi3) {
return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2).mulAsg(mi3);
}
public ModInt mul(ModInt mi1, ModInt mi2, ModInt mi3, ModInt mi4) {
return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2).mulAsg(mi3).mulAsg(mi4);
}
public ModInt mul(ModInt mi1, ModInt... mis) {
ModInt mi = mul(mi1);
for (ModInt m : mis)
mi.mulAsg(m);
return mi;
}
public ModInt mul(long mi) {
return new ModInt(ma.mul(value, ma.remainder(mi)));
}
public ModInt div(ModInt mi) {
return new ModInt(ma.div(value, mi.value));
}
public ModInt div(long mi) {
return new ModInt(ma.div(value, ma.remainder(mi)));
}
public ModInt inv() {
return new ModInt(ma.inv(value));
}
public ModInt pow(long b) {
return new ModInt(ma.pow(value, b));
}
public ModInt pow(ModInt mi) {
return new ModInt(ma.pow(value, mi.value));
}
public ModInt addAsg(ModInt mi) {
this.value = ma.add(value, mi.value);
return this;
}
public ModInt addAsg(ModInt mi1, ModInt mi2) {
return addAsg(mi1).addAsg(mi2);
}
public ModInt addAsg(ModInt mi1, ModInt mi2, ModInt mi3) {
return addAsg(mi1).addAsg(mi2).addAsg(mi3);
}
public ModInt addAsg(ModInt mi1, ModInt mi2, ModInt mi3, ModInt mi4) {
return addAsg(mi1).addAsg(mi2).addAsg(mi3).addAsg(mi4);
}
public ModInt addAsg(ModInt... mis) {
for (ModInt m : mis)
addAsg(m);
return this;
}
public ModInt addAsg(long mi) {
this.value = ma.add(value, ma.remainder(mi));
return this;
}
public ModInt subAsg(ModInt mi) {
this.value = ma.sub(value, mi.value);
return this;
}
public ModInt subAsg(long mi) {
this.value = ma.sub(value, ma.remainder(mi));
return this;
}
public ModInt mulAsg(ModInt mi) {
this.value = ma.mul(value, mi.value);
return this;
}
public ModInt mulAsg(ModInt mi1, ModInt mi2) {
return mulAsg(mi1).mulAsg(mi2);
}
public ModInt mulAsg(ModInt mi1, ModInt mi2, ModInt mi3) {
return mulAsg(mi1).mulAsg(mi2).mulAsg(mi3);
}
public ModInt mulAsg(ModInt mi1, ModInt mi2, ModInt mi3, ModInt mi4) {
return mulAsg(mi1).mulAsg(mi2).mulAsg(mi3).mulAsg(mi4);
}
public ModInt mulAsg(ModInt... mis) {
for (ModInt m : mis)
mulAsg(m);
return this;
}
public ModInt mulAsg(long mi) {
this.value = ma.mul(value, ma.remainder(mi));
return this;
}
public ModInt divAsg(ModInt mi) {
this.value = ma.div(value, mi.value);
return this;
}
public ModInt divAsg(long mi) {
this.value = ma.div(value, ma.remainder(mi));
return this;
}
public ModInt powAsg(ModInt mi) {
this.value = ma.pow(value, mi.value);
return this;
}
public ModInt powAsg(long mi) {
this.value = ma.pow(value, ma.remainder(mi));
return this;
}
@Override
public String toString() {
return String.valueOf(value());
}
@Override
public boolean equals(Object o) {
if (o instanceof ModInt) {
ModInt mi = (ModInt) o;
return mod() == mi.mod() && value() == mi.value();
}
return false;
}
@Override
public int hashCode() {
return (1 * 37 + mod()) * 37 + value();
}
}
private static abstract class ModArithmetic {
abstract int mod();
abstract int remainder(long value);
abstract int add(int a, int b);
abstract int sub(int a, int b);
abstract int mul(int a, int b);
int div(int a, int b) {
return mul(a, inv(b));
}
int inv(int a) {
int b = mod();
if (b == 1)
return 0;
long u = 1, v = 0;
while (b >= 1) {
int t = a / b;
a -= t * b;
int tmp1 = a;
a = b;
b = tmp1;
u -= t * v;
long tmp2 = u;
u = v;
v = tmp2;
}
if (a != 1)
throw new ArithmeticException("divide by zero");
return remainder(u);
}
int pow(int a, long b) {
if (b < 0)
throw new ArithmeticException("negative power");
int r = 1;
int x = a;
while (b > 0) {
if ((b & 1) == 1)
r = mul(r, x);
x = mul(x, x);
b >>= 1;
}
return r;
}
static ModArithmetic of(int mod) {
if (mod <= 0) {
throw new IllegalArgumentException();
} else if (mod == 1) {
return new ModArithmetic1();
} else if (mod == 2) {
return new ModArithmetic2();
} else if (mod == 998244353) {
return new ModArithmetic998244353();
} else if (mod == 1000000007) {
return new ModArithmetic1000000007();
} else if ((mod & 1) == 1) {
return new ModArithmeticMontgomery(mod);
} else {
return new ModArithmeticBarrett(mod);
}
}
private static final class ModArithmetic1 extends ModArithmetic {
int mod() {
return 1;
}
int remainder(long value) {
return 0;
}
int add(int a, int b) {
return 0;
}
int sub(int a, int b) {
return 0;
}
int mul(int a, int b) {
return 0;
}
int pow(int a, long b) {
return 0;
}
}
private static final class ModArithmetic2 extends ModArithmetic {
int mod() {
return 2;
}
int remainder(long value) {
return (int) (value & 1);
}
int add(int a, int b) {
return a ^ b;
}
int sub(int a, int b) {
return a ^ b;
}
int mul(int a, int b) {
return a & b;
}
}
private static final class ModArithmetic998244353 extends ModArithmetic {
private final int mod = 998244353;
int mod() {
return mod;
}
int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
int add(int a, int b) {
int res = a + b;
return res >= mod ? res - mod : res;
}
int sub(int a, int b) {
int res = a - b;
return res < 0 ? res + mod : res;
}
int mul(int a, int b) {
return (int) (((long) a * b) % mod);
}
}
private static final class ModArithmetic1000000007 extends ModArithmetic {
private final int mod = 1000000007;
int mod() {
return mod;
}
int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
int add(int a, int b) {
int res = a + b;
return res >= mod ? res - mod : res;
}
int sub(int a, int b) {
int res = a - b;
return res < 0 ? res + mod : res;
}
int mul(int a, int b) {
return (int) (((long) a * b) % mod);
}
}
private static final class ModArithmeticMontgomery extends ModArithmeticDynamic {
private final long negInv;
private final long r2;
private ModArithmeticMontgomery(int mod) {
super(mod);
long inv = 0;
long s = 1, t = 0;
for (int i = 0; i < 32; i++) {
if ((t & 1) == 0) {
t += mod;
inv += s;
}
t >>= 1;
s <<= 1;
}
long r = (1l << 32) % mod;
this.negInv = inv;
this.r2 = (r * r) % mod;
}
private int generate(long x) {
return reduce(x * r2);
}
private int reduce(long x) {
x = (x + ((x * negInv) & 0xffff_ffffl) * mod) >>> 32;
return (int) (x < mod ? x : x - mod);
}
@Override
int remainder(long value) {
return generate((value %= mod) < 0 ? value + mod : value);
}
@Override
int mul(int a, int b) {
return reduce((long) a * b);
}
@Override
int inv(int a) {
return super.inv(reduce(a));
}
@Override
int pow(int a, long b) {
return generate(super.pow(a, b));
}
}
private static final class ModArithmeticBarrett extends ModArithmeticDynamic {
private static final long mask = 0xffff_ffffl;
private final long mh;
private final long ml;
private ModArithmeticBarrett(int mod) {
super(mod);
long a = (1l << 32) / mod;
long b = (1l << 32) % mod;
long m = a * a * mod + 2 * a * b + (b * b) / mod;
mh = m >>> 32;
ml = m & mask;
}
private int reduce(long x) {
long z = (x & mask) * ml;
z = (x & mask) * mh + (x >>> 32) * ml + (z >>> 32);
z = (x >>> 32) * mh + (z >>> 32);
x -= z * mod;
return (int) (x < mod ? x : x - mod);
}
@Override
int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
@Override
int mul(int a, int b) {
return reduce((long) a * b);
}
}
private static class ModArithmeticDynamic extends ModArithmetic {
final int mod;
ModArithmeticDynamic(int mod) {
this.mod = mod;
}
int mod() {
return mod;
}
int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
int add(int a, int b) {
int sum = a + b;
return sum >= mod ? sum - mod : sum;
}
int sub(int a, int b) {
int sum = a - b;
return sum < 0 ? sum + mod : sum;
}
int mul(int a, int b) {
return (int) (((long) a * b) % mod);
}
}
}
}
class ContestScanner {
private final InputStream in;
private final byte[] buffer = new byte[1024];
private int ptr = 0;
private int buflen = 0;
public ContestScanner(InputStream in) {
this.in = in;
}
public ContestScanner() {
this(System.in);
}
private boolean hasNextByte() {
if (ptr < buflen)
return true;
ptr = 0;
try {
buflen = in.read(buffer);
} catch (IOException e) {
e.printStackTrace();
}
if (buflen <= 0)
return false;
return true;
}
private int readByte() {
return hasNextByte() ? buffer[ptr++] : -1;
}
private static boolean isPrintableChar(int c) {
return 33 <= c && c <= 126;
}
public boolean hasNext() {
while (hasNextByte() && !isPrintableChar(buffer[ptr]))
ptr++;
return hasNextByte();
}
public String next() {
if (!hasNext())
throw new NoSuchElementException();
StringBuilder sb = new StringBuilder();
int b = readByte();
while (isPrintableChar(b)) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
public void nextThrow(int n) {
for (int i = 0; i < n; i++)
this.next();
}
public void nextThrow() {
this.nextThrow(1);
}
public long nextLong() {
if (!hasNext())
throw new NoSuchElementException();
long n = 0;
boolean minus = false;
int b = readByte();
if (b == '-') {
minus = true;
b = readByte();
}
if (b < '0' || '9' < b)
throw new NumberFormatException();
while (true) {
if ('0' <= b && b <= '9') {
n *= 10;
n += b - '0';
} else if (b == -1 || !isPrintableChar(b))
return minus ? -n : n;
else
throw new NumberFormatException();
b = readByte();
}
}
public int nextInt() {
long nl = nextLong();
if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
throw new NumberFormatException();
return (int) nl;
}
public double nextDouble() {
return Double.parseDouble(next());
}
public boolean[] nextBoolean(char True) {
String s = this.next();
int n = s.length();
boolean[] array = new boolean[n];
for (int i = 0; i < n; i++)
array[i] = s.charAt(i) == True;
return array;
}
public long[] nextLongArray(int length) {
long[] array = new long[length];
for (int i = 0; i < length; i++)
array[i] = this.nextLong();
return array;
}
public long[] nextLongArray(int length, java.util.function.LongUnaryOperator map) {
long[] array = new long[length];
for (int i = 0; i < length; i++)
array[i] = map.applyAsLong(this.nextLong());
return array;
}
public int[] nextIntArray(int length) {
int[] array = new int[length];
for (int i = 0; i < length; i++)
array[i] = this.nextInt();
return array;
}
public int[] nextIntArray(int length, java.util.function.IntUnaryOperator map) {
int[] array = new int[length];
for (int i = 0; i < length; i++)
array[i] = map.applyAsInt(this.nextInt());
return array;
}
public int[] nextIntArray(int length, int[] array) {
int n = length + array.length;
int[] a = new int[n];
for (int i = 0; i < length; i++)
a[i] = this.nextInt();
for (int i = length; i < n; i++)
a[i] = array[i - length];
return a;
}
public Integer[] nextIntegerArray(int length, java.util.function.IntUnaryOperator map) {
Integer[] array = new Integer[length];
for (int i = 0; i < length; i++)
array[i] = map.applyAsInt(this.nextInt());
return array;
}
public Integer[] nextIntegerArray(int length) {
Integer[] array = new Integer[length];
for (int i = 0; i < length; i++)
array[i] = this.nextInt();
return array;
}
public double[] nextDoubleArray(int length) {
double[] array = new double[length];
for (int i = 0; i < length; i++)
array[i] = this.nextDouble();
return array;
}
public double[] nextDoubleArray(int length, java.util.function.DoubleUnaryOperator map) {
double[] array = new double[length];
for (int i = 0; i < length; i++)
array[i] = map.applyAsDouble(this.nextDouble());
return array;
}
public String[] nextArray(int length) {
String[] array = new String[length];
for (int i = 0; i < length; i++)
array[i] = this.next();
return array;
}
public long[][] nextLongMatrix(int height, int width) {
long[][] mat = new long[height][width];
for (int h = 0; h < height; h++)
for (int w = 0; w < width; w++)
mat[h][w] = this.nextLong();
return mat;
}
public int[][] nextIntMatrix(int height, int width) {
int[][] mat = new int[height][width];
for (int h = 0; h < height; h++)
for (int w = 0; w < width; w++)
mat[h][w] = this.nextInt();
return mat;
}
public int[][] nextIntMatrix(int height, int width, java.util.function.IntUnaryOperator map) {
int[][] mat = new int[height][width];
for (int h = 0; h < height; h++)
for (int w = 0; w < width; w++)
mat[h][w] = map.applyAsInt(this.nextInt());
return mat;
}
public double[][] nextDoubleMatrix(int height, int width) {
double[][] mat = new double[height][width];
for (int h = 0; h < height; h++)
for (int w = 0; w < width; w++)
mat[h][w] = this.nextDouble();
return mat;
}
public boolean[][] nextBooleanMatrix(int height, int width, char True) {
boolean[][] mat = new boolean[height][width];
for (int h = 0; h < height; h++) {
String s = this.next();
for (int w = 0; w < width; w++)
mat[h][w] = s.charAt(w) == True;
}
return mat;
}
public char[][] nextCharMatrix(int height, int width) {
char[][] mat = new char[height][width];
for (int h = 0; h < height; h++) {
String s = this.next();
for (int w = 0; w < width; w++)
mat[h][w] = s.charAt(w);
}
return mat;
}
public char[][] nextCharMatrix(int height, int width, int h, int w, char c) {
char[][] mat = new char[height + 2 * h][width + 2 * w];
for (int i = 0; i < height; i++) {
String s = this.next();
for (int j = 0; j < width; j++)
mat[i + h][j + w] = s.charAt(j);
}
for (int i = 0; i < h; i++)
for (int j = 0; j < 2 * w + width; j++)
mat[i][j] = c;
for (int i = h + height; i < 2 * h + height; i++)
for (int j = 0; j < 2 * w + width; j++)
mat[i][j] = c;
for (int i = h; i < h + height; i++) {
for (int j = 0; j < w; j++)
mat[i][j] = c;
for (int j = w + width; j < 2 * w + width; j++)
mat[i][j] = c;
}
return mat;
}
public boolean[][] nextBooleanMatrix(int height, int width, int h, int w, char c) {
boolean[][] mat = new boolean[height + 2 * h][width + 2 * w];
for (int i = 0; i < height; i++) {
String s = this.next();
for (int j = 0; j < width; j++)
mat[i + h][j + w] = s.charAt(j) == c;
}
return mat;
}
}
class ContestPrinter extends PrintWriter {
public ContestPrinter(PrintStream stream) {
super(stream);
}
public ContestPrinter() {
super(System.out);
}
private static String dtos(double x, int n) {
StringBuilder sb = new StringBuilder();
if (x < 0) {
sb.append('-');
x = -x;
}
x += Math.pow(10, -n) / 2;
sb.append((long) x);
sb.append(".");
x -= (long) x;
for (int i = 0; i < n; i++) {
x *= 10;
sb.append((int) x);
x -= (int) x;
}
return sb.toString();
}
@Override
public void print(float f) {
super.print(dtos(f, 20));
}
@Override
public void println(float f) {
super.println(dtos(f, 20));
}
@Override
public void print(double d) {
super.print(dtos(d, 20));
}
@Override
public void println(double d) {
super.println(dtos(d, 20));
}
public void printlnArray(String[] array) {
for (String i : array)
super.println(i);
}
public void printArray(int[] array, String separator) {
int n = array.length - 1;
for (int i = 0; i < n; i++) {
super.print(array[i]);
super.print(separator);
}
super.println(array[n]);
}
public void printArray(int[] array) {
this.printArray(array, " ");
}
public void printArray(Integer[] array) {
this.printArray(array, " ");
}
public void printArray(Integer[] array, String separator) {
int n = array.length - 1;
for (int i = 0; i < n; i++) {
super.print(array[i]);
super.print(separator);
}
super.println(array[n]);
}
public void printlnArray(int[] array) {
for (int i : array)
super.println(i);
}
public void printArray(int[] array, String separator, java.util.function.IntUnaryOperator map) {
int n = array.length - 1;
for (int i = 0; i < n; i++) {
super.print(map.applyAsInt(array[i]));
super.print(separator);
}
super.println(map.applyAsInt(array[n]));
}
public void printlnArray(int[] array, java.util.function.IntUnaryOperator map) {
for (int i : array)
super.println(map.applyAsInt(i));
}
public void printlnArray(long[] array, java.util.function.LongUnaryOperator map) {
for (long i : array)
super.println(map.applyAsLong(i));
}
public void printArray(int[] array, java.util.function.IntUnaryOperator map) {
this.printArray(array, " ", map);
}
public void printArray(long[] array, String separator) {
int n = array.length - 1;
for (int i = 0; i < n; i++) {
super.print(array[i]);
super.print(separator);
}
super.println(array[n]);
}
public void printArray(long[] array) {
this.printArray(array, " ");
}
public void printlnArray(long[] array) {
for (long i : array)
super.println(i);
}
public void printArray(boolean[] array, String a, String b) {
int n = array.length - 1;
for (int i = 0; i < n; i++)
super.print((array[i] ? a : b) + " ");
super.println(array[n] ? a : b);
}
public void printArray(boolean[] array) {
this.printArray(array, "Y", "N");
}
public void printArray(long[] array, String separator, java.util.function.LongUnaryOperator map) {
int n = array.length - 1;
for (int i = 0; i < n; i++) {
super.print(map.applyAsLong(array[i]));
super.print(separator);
}
super.println(map.applyAsLong(array[n]));
}
public void printArray(long[] array, java.util.function.LongUnaryOperator map) {
this.printArray(array, " ", map);
}
public void printArray(ArrayList<?> array) {
this.printArray(array, " ");
}
public void printArray(ArrayList<?> array, String separator) {
int n = array.size() - 1;
for (int i = 0; i < n; i++) {
super.print(array.get(i).toString());
super.print(separator);
}
super.println(array.get(n).toString());
}
public void printlnArray(ArrayList<?> array) {
int n = array.size();
for (int i = 0; i < n; i++)
super.println(array.get(i).toString());
}
public void printArray(int[][] array) {
int n = array.length;
if (n == 0)
return;
int m = array[0].length - 1;
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++)
super.print(array[i][j] + " ");
super.println(array[i][m]);
}
}
public void printArray(long[][] array) {
int n = array.length;
if (n == 0)
return;
int m = array[0].length - 1;
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++)
super.print(array[i][j] + " ");
super.println(array[i][m]);
}
}
}