結果
| 問題 | No.5015 Escape from Labyrinth |
| ユーザー |
 yupiteru_kun
|
| 提出日時 | 2023-04-16 02:35:30 |
| 言語 | C# (.NET 8.0.203) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 40,732 bytes |
| コンパイル時間 | 11,714 ms |
| コンパイル使用メモリ | 144,492 KB |
| 実行使用メモリ | 70,568 KB |
| スコア | 173,700 |
| 最終ジャッジ日時 | 2023-04-16 02:40:13 |
| 合計ジャッジ時間 | 278,848 ms |
|
ジャッジサーバーID （参考情報） |
judge16 / judge12 |
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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 | 2,533 ms
68,076 KB |
| testcase_01 | AC | 2,509 ms
68,188 KB |
| testcase_02 | AC | 2,430 ms
67,720 KB |
| testcase_03 | AC | 2,741 ms
67,928 KB |
| testcase_04 | AC | 2,447 ms
69,808 KB |
| testcase_05 | AC | 2,745 ms
65,708 KB |
| testcase_06 | AC | 2,705 ms
65,732 KB |
| testcase_07 | AC | 2,591 ms
67,904 KB |
| testcase_08 | AC | 2,525 ms
68,292 KB |
| testcase_09 | AC | 2,444 ms
67,476 KB |
| testcase_10 | AC | 2,484 ms
68,036 KB |
| testcase_11 | AC | 2,767 ms
67,692 KB |
| testcase_12 | AC | 2,447 ms
68,132 KB |
| testcase_13 | AC | 2,582 ms
68,384 KB |
| testcase_14 | AC | 2,465 ms
67,632 KB |
| testcase_15 | AC | 2,802 ms
65,988 KB |
| testcase_16 | AC | 2,562 ms
68,704 KB |
| testcase_17 | AC | 2,760 ms
64,032 KB |
| testcase_18 | AC | 2,455 ms
67,596 KB |
| testcase_19 | AC | 2,787 ms
65,972 KB |
| testcase_20 | AC | 2,503 ms
68,456 KB |
| testcase_21 | AC | 2,505 ms
69,916 KB |
| testcase_22 | AC | 2,752 ms
67,716 KB |
| testcase_23 | TLE | - |
| testcase_24 | AC | 2,475 ms
69,900 KB |
| testcase_25 | AC | 2,752 ms
66,088 KB |
| testcase_26 | AC | 2,746 ms
67,668 KB |
| testcase_27 | AC | 2,449 ms
65,180 KB |
| testcase_28 | AC | 2,529 ms
69,828 KB |
| testcase_29 | AC | 2,719 ms
66,012 KB |
| testcase_30 | AC | 2,725 ms
65,756 KB |
| testcase_31 | AC | 2,763 ms
67,928 KB |
| testcase_32 | AC | 2,318 ms
66,820 KB |
| testcase_33 | AC | 2,701 ms
65,880 KB |
| testcase_34 | AC | 2,413 ms
67,464 KB |
| testcase_35 | AC | 2,551 ms
68,204 KB |
| testcase_36 | AC | 2,796 ms
66,004 KB |
| testcase_37 | AC | 2,734 ms
66,068 KB |
| testcase_38 | AC | 2,634 ms
70,392 KB |
| testcase_39 | AC | 2,485 ms
68,084 KB |
| testcase_40 | AC | 2,732 ms
65,932 KB |
| testcase_41 | AC | 2,542 ms
67,860 KB |
| testcase_42 | AC | 2,426 ms
67,500 KB |
| testcase_43 | AC | 2,743 ms
65,764 KB |
| testcase_44 | AC | 2,464 ms
67,552 KB |
| testcase_45 | AC | 2,724 ms
65,748 KB |
| testcase_46 | AC | 2,480 ms
67,704 KB |
| testcase_47 | AC | 2,735 ms
67,716 KB |
| testcase_48 | AC | 2,737 ms
66,028 KB |
| testcase_49 | AC | 2,464 ms
67,844 KB |
| testcase_50 | AC | 2,721 ms
66,000 KB |
| testcase_51 | AC | 2,735 ms
67,796 KB |
| testcase_52 | AC | 2,494 ms
69,756 KB |
| testcase_53 | AC | 2,471 ms
67,512 KB |
| testcase_54 | AC | 2,523 ms
66,388 KB |
| testcase_55 | AC | 2,472 ms
69,256 KB |
| testcase_56 | AC | 2,798 ms
65,996 KB |
| testcase_57 | AC | 2,426 ms
67,268 KB |
| testcase_58 | AC | 2,726 ms
65,980 KB |
| testcase_59 | AC | 2,529 ms
68,268 KB |
| testcase_60 | AC | 2,559 ms
68,664 KB |
| testcase_61 | AC | 2,801 ms
65,752 KB |
| testcase_62 | AC | 2,712 ms
67,584 KB |
| testcase_63 | AC | 2,559 ms
68,260 KB |
| testcase_64 | AC | 2,336 ms
67,172 KB |
| testcase_65 | AC | 2,605 ms
68,700 KB |
| testcase_66 | AC | 2,540 ms
66,264 KB |
| testcase_67 | AC | 2,559 ms
68,588 KB |
| testcase_68 | AC | 2,473 ms
69,768 KB |
| testcase_69 | AC | 2,709 ms
65,988 KB |
| testcase_70 | AC | 2,550 ms
68,372 KB |
| testcase_71 | AC | 2,743 ms
65,892 KB |
| testcase_72 | AC | 2,422 ms
69,260 KB |
| testcase_73 | AC | 2,773 ms
66,080 KB |
| testcase_74 | AC | 2,539 ms
70,060 KB |
| testcase_75 | AC | 2,695 ms
67,504 KB |
| testcase_76 | AC | 2,743 ms
67,444 KB |
| testcase_77 | AC | 2,559 ms
66,308 KB |
| testcase_78 | AC | 2,751 ms
66,096 KB |
| testcase_79 | AC | 2,543 ms
70,568 KB |
| testcase_80 | AC | 2,464 ms
67,376 KB |
| testcase_81 | AC | 2,590 ms
68,272 KB |
| testcase_82 | AC | 2,495 ms
70,088 KB |
| testcase_83 | AC | 2,722 ms
66,032 KB |
| testcase_84 | AC | 2,751 ms
67,720 KB |
| testcase_85 | AC | 2,467 ms
69,184 KB |
| testcase_86 | AC | 2,842 ms
68,092 KB |
| testcase_87 | AC | 2,526 ms
68,168 KB |
| testcase_88 | AC | 2,545 ms
68,284 KB |
| testcase_89 | AC | 2,737 ms
65,828 KB |
| testcase_90 | AC | 2,550 ms
69,912 KB |
| testcase_91 | AC | 2,689 ms
65,740 KB |
| testcase_92 | AC | 2,768 ms
67,620 KB |
| testcase_93 | AC | 2,742 ms
65,972 KB |
| testcase_94 | AC | 2,780 ms
67,704 KB |
| testcase_95 | AC | 2,510 ms
67,996 KB |
| testcase_96 | AC | 2,721 ms
67,864 KB |
| testcase_97 | AC | 2,719 ms
68,016 KB |
| testcase_98 | AC | 2,547 ms
68,544 KB |
| testcase_99 | AC | 2,657 ms
65,668 KB |
コンパイルメッセージ
Determining projects to restore... Restored /home/judge/data/code/main.csproj (in 129 ms). .NET 向け Microsoft (R) Build Engine バージョン 17.0.0-preview-21470-01+cb055d28f Copyright (C) Microsoft Corporation.All rights reserved. プレビュー版の .NET を使用しています。https://aka.ms/dotnet-core-preview をご覧ください main -> /home/judge/data/code/bin/Release/net6.0/main.dll main -> /home/judge/data/code/bin/Release/net6.0/publish/
ソースコード
using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using static System.Math;
using System.Text;
using System.Threading;
using System.Globalization;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using Library;
namespace Program
{
public static class ProblemA
{
static bool SAIKI = false;
static public int numberOfRandomCases = 0;
static public void MakeTestCase(List<string> _input, List<string> _output, ref Func<string[], bool> _outputChecker)
{
}
static public void Solve()
{
var N = (int)NN;
var D = (int)NN;
var H = (int)NN;
var S = NSList(N);
var M = (int)NN;
var yxd = Repeat(0, M).Select(_ => new { y = (int)NN, x = (int)NN, d = (int)NN }).ToArray();
var fieldItem = new int[N, N];
const int JEWEL = 10000;
const int WALL = 20000;
const int ENEMY = 30000;
const int FIRE = 40000;
var jewelNum = 0;
for (var i = 0; i < N; ++i)
{
for (var j = 0; j < N; ++j)
{
switch (S[i][j])
{
case '#': fieldItem[i, j] = WALL; break;
case 'J': fieldItem[i, j] = ++jewelNum; break;
case 'E': fieldItem[i, j] = ENEMY; break;
case 'F': fieldItem[i, j] = FIRE; break;
}
}
}
var startX = 0;
var startY = 0;
var keyX = 0;
var keyY = 0;
var goalX = 0;
var goalY = 0;
for (var i = 0; i < N; ++i)
{
for (var j = 0; j < N; ++j)
{
if (S[i][j] == 'S')
{
startY = i;
startX = j;
}
if (S[i][j] == 'G')
{
goalY = i;
goalX = j;
}
if (S[i][j] == 'K')
{
keyY = i;
keyX = j;
}
}
}
var diff_start_key = Abs(startY - keyY) + Abs(startX - keyX);
var diff_start_goal = Abs(startY - goalY) + Abs(startX - goalX);
var diff_key_goal = Abs(keyY - goalY) + Abs(keyX - goalX);
var effect = new int[N, N, 60];
var tantiki = new int[N, N];
tantiki.Fill(-1);
for (var i = 0; i < M; ++i) tantiki[yxd[i].y, yxd[i].x] = i;
for (var i = 0; i < N; ++i)
{
var before = -1;
for (var j = 0; j < N; ++j)
{
if (before != -1)
{
for (var t = 0; t < 60; ++t)
{
effect[i, j, t] += t % yxd[before].d == 0 ? D : 0;
}
}
if (tantiki[i, j] != -1) before = tantiki[i, j];
if (fieldItem[i, j] == WALL) before = -1;
}
before = -1;
for (var j = N - 1; j >= 0; --j)
{
if (before != -1)
{
for (var t = 0; t < 60; ++t)
{
effect[i, j, t] += t % yxd[before].d == 0 ? D : 0;
}
}
if (tantiki[i, j] != -1) before = tantiki[i, j];
if (fieldItem[i, j] == WALL) before = -1;
}
}
for (var j = 0; j < N; ++j)
{
var before = -1;
for (var i = 0; i < N; ++i)
{
if (before != -1)
{
for (var t = 0; t < 60; ++t)
{
effect[i, j, t] += t % yxd[before].d == 0 ? D : 0;
}
}
if (tantiki[i, j] != -1) before = tantiki[i, j];
if (fieldItem[i, j] == WALL) before = -1;
}
before = -1;
for (var i = N - 1; i >= 0; --i)
{
if (before != -1)
{
for (var t = 0; t < 60; ++t)
{
effect[i, j, t] += t % yxd[before].d == 0 ? D : 0;
}
}
if (tantiki[i, j] != -1) before = tantiki[i, j];
if (fieldItem[i, j] == WALL) before = -1;
}
}
if (diff_start_key > diff_key_goal)
{
var kariLen = 0;
{
var dp = new int[N, N];
var ndp = new int[N, N];
var ansField = new List<string[,]>();
dp[keyY, keyX] = H;
var finishTurn = 0;
var maxH = 0;
for (var turn = 1; turn < 500; ++turn)
{
ndp.Fill(0);
var ans = new string[N, N];
for (var i = 0; i < N; ++i)
{
for (var j = 0; j < N; ++j)
{
if (fieldItem[i, j] == WALL || fieldItem[i, j] == ENEMY) continue;
var nh = dp[i, j];
var ope = "S";
if (i > 0 && nh.Chmax(dp[i - 1, j])) ope = "M D";
if (i < N - 1 && nh.Chmax(dp[i + 1, j])) ope = "M U";
if (j > 0 && nh.Chmax(dp[i, j - 1])) ope = "M R";
if (j < N - 1 && nh.Chmax(dp[i, j + 1])) ope = "M L";
--nh;
nh -= effect[i, j, turn % 60];
ndp[i, j] = nh;
ans[i, j] = ope;
}
}
var t = dp; dp = ndp; ndp = t;
if (maxH.Chmax(dp[goalY, goalX])) finishTurn = turn;
ansField.Add(ans);
}
kariLen = (int)((H - maxH) * 1.2);
}
var pool1 = new List<LIB_Bitset>(10000);
var pool2 = new List<LIB_Bitset>(10000);
Func<int, int, double, bool, (int lastHealth, int count, string[], int turn)> calc = (startTurn, startHelath, gain, dry) =>
{
var dp = new (double health, int count, LIB_Bitset got)[N, N];
var ndp = new (double health, int count, LIB_Bitset got)[N, N];
var ansField = new List<string[,]>();
dp[startY, startX] = (startHelath, 0, new LIB_Bitset(jewelNum + 1));
var maxH = 0.0;
var maxCount = 0;
var finishTurn = 0;
for (var turn = startTurn; turn < 1000; ++turn)
{
ndp.Fill((0, 0, null));
string[,] ans = null;
if (!dry) ans = new string[N, N];
for (var i = 0; i < N; ++i)
{
for (var j = 0; j < N; ++j)
{
if (fieldItem[i, j] == WALL || fieldItem[i, j] == ENEMY) continue;
var nh = dp[i, j].health;
var ope = "S";
var count = dp[i, j].count;
var got = dp[i, j].got;
if (!(got is null)) pool2.Add(got);
if (i > 0 && nh.Chmax(dp[i - 1, j].health))
{
ope = "M D";
count = dp[i - 1, j].count;
got = dp[i - 1, j].got;
}
if (i < N - 1 && nh.Chmax(dp[i + 1, j].health))
{
ope = "M U";
count = dp[i + 1, j].count;
got = dp[i + 1, j].got;
}
if (j > 0 && nh.Chmax(dp[i, j - 1].health))
{
ope = "M R";
count = dp[i, j - 1].count;
got = dp[i, j - 1].got;
}
if (j < N - 1 && nh.Chmax(dp[i, j + 1].health))
{
ope = "M L";
count = dp[i, j + 1].count;
got = dp[i, j + 1].got;
}
nh -= 1;
nh -= effect[i, j, turn % 60];
if (nh <= 0) continue;
if (pool1.Count > 0)
{
var nextgot = pool1[pool1.Count - 1];
pool1.RemoveAt(pool1.Count - 1);
for (var k = 0; k < nextgot.ary.Length; ++k)
{
nextgot.ary[k] = got.ary[k];
}
got = nextgot;
}
else
{
got = got | 0;
}
if (0 < fieldItem[i, j] && fieldItem[i, j] <= JEWEL && !got[fieldItem[i, j]])
{
nh += gain;
++count;
got[fieldItem[i, j]] = true;
}
ndp[i, j] = (nh, count, got);
if (!dry) ans[i, j] = ope;
}
}
var t = dp; dp = ndp; ndp = t;
var t3 = pool1; pool1 = pool2; pool2 = t3;
if (maxH.Chmax(dp[keyY, keyX].health))
{
maxCount = dp[keyY, keyX].count;
finishTurn = ansField.Count;
}
ansField.Add(ans);
}
var firstAnswer = new List<string>();
if (!dry)
{
var nowx = keyX;
var nowy = keyY;
for (var turn = finishTurn; turn >= 0; --turn)
{
var ope = ansField[turn][nowy, nowx];
firstAnswer.Add(ope);
if (ope == "M D") --nowy;
else if (ope == "M U") ++nowy;
else if (ope == "M R") --nowx;
else if (ope == "M L") ++nowx;
}
firstAnswer.Reverse();
}
return ((int)maxH, maxCount, firstAnswer.ToArray(), finishTurn + 1);
};
{
var gain = 0.0;
var minokgain = double.MaxValue;
for (var mid = 8.0; mid < 10.7; mid += 0.5)
{
var res = calc(1, H, mid, true);
var hp = res.lastHealth - res.count * mid;
if (hp < kariLen) { }
else
{
if (minokgain.Chmin(hp)) gain = mid;
}
}
var ans = calc(1, H, gain, false);
var dp = new int[N, N];
var ndp = new int[N, N];
var ansField = new List<string[,]>();
dp[keyY, keyX] = (int)(ans.lastHealth - ans.count * gain);
var finishTurn = 0;
var maxH = 0;
for (var turn = ans.turn + 1; turn < 1000; ++turn)
{
ndp.Fill(0);
var ans2 = new string[N, N];
for (var i = 0; i < N; ++i)
{
for (var j = 0; j < N; ++j)
{
if (fieldItem[i, j] == WALL || fieldItem[i, j] == ENEMY) continue;
var nh = dp[i, j];
var ope = "S";
if (i > 0 && nh.Chmax(dp[i - 1, j])) ope = "M D";
if (i < N - 1 && nh.Chmax(dp[i + 1, j])) ope = "M U";
if (j > 0 && nh.Chmax(dp[i, j - 1])) ope = "M R";
if (j < N - 1 && nh.Chmax(dp[i, j + 1])) ope = "M L";
--nh;
nh -= effect[i, j, turn % 60];
ndp[i, j] = nh;
ans2[i, j] = ope;
}
}
var t = dp; dp = ndp; ndp = t;
if (maxH.Chmax(dp[goalY, goalX])) finishTurn = turn;
ansField.Add(ans2);
}
var firstAnswer = new List<string>();
{
var nowx = goalX;
var nowy = goalY;
for (var turn = finishTurn - ans.turn - 1; turn >= 0; --turn)
{
var ope = ansField[turn][nowy, nowx];
firstAnswer.Add(ope);
if (ope == "M D") --nowy;
else if (ope == "M U") ++nowy;
else if (ope == "M R") --nowx;
else if (ope == "M L") ++nowx;
}
firstAnswer.Reverse();
}
foreach (var item in ans.Item3)
{
Console.WriteLine(item);
}
foreach (var item in firstAnswer)
{
Console.WriteLine(item);
}
}
}
else
{
var dp = new int[N, N];
var ndp = new int[N, N];
var ansField = new List<string[,]>();
dp[startY, startX] = H;
var finishTurn = 0;
var maxH = 0;
for (var turn = 1; turn < 500; ++turn)
{
ndp.Fill(0);
var ans = new string[N, N];
for (var i = 0; i < N; ++i)
{
for (var j = 0; j < N; ++j)
{
if (fieldItem[i, j] == WALL || fieldItem[i, j] == ENEMY) continue;
var nh = dp[i, j];
var ope = "S";
if (i > 0 && nh.Chmax(dp[i - 1, j])) ope = "M D";
if (i < N - 1 && nh.Chmax(dp[i + 1, j])) ope = "M U";
if (j > 0 && nh.Chmax(dp[i, j - 1])) ope = "M R";
if (j < N - 1 && nh.Chmax(dp[i, j + 1])) ope = "M L";
--nh;
nh -= effect[i, j, turn % 60];
ndp[i, j] = nh;
ans[i, j] = ope;
}
}
var t = dp; dp = ndp; ndp = t;
if (maxH.Chmax(dp[keyY, keyX])) finishTurn = turn;
ansField.Add(ans);
}
var firstAnswer = new List<string>();
{
var nowx = keyX;
var nowy = keyY;
for (var turn = finishTurn - 1; turn >= 0; --turn)
{
var ope = ansField[turn][nowy, nowx];
firstAnswer.Add(ope);
if (ope == "M D") --nowy;
else if (ope == "M U") ++nowy;
else if (ope == "M R") --nowx;
else if (ope == "M L") ++nowx;
if (fieldItem[nowy, nowx] <= JEWEL) fieldItem[nowy, nowx] = 0;
}
firstAnswer.Reverse();
}
var pool1 = new List<LIB_Bitset>(10000);
var pool2 = new List<LIB_Bitset>(10000);
Func<int, int, double, bool, (int lastHealth, int count, string[])> calc = (startTurn, startHelath, gain, dry) =>
{
var dp = new (double health, int count, LIB_Bitset got)[N, N];
var ndp = new (double health, int count, LIB_Bitset got)[N, N];
var ansField = new List<string[,]>();
dp[keyY, keyX] = (startHelath, 0, new LIB_Bitset(jewelNum + 1));
var maxH = 0.0;
var maxCount = 0;
var finishTurn = 0;
for (var turn = startTurn; turn < 1000; ++turn)
{
ndp.Fill((0, 0, null));
string[,] ans = null;
if (!dry) ans = new string[N, N];
for (var i = 0; i < N; ++i)
{
for (var j = 0; j < N; ++j)
{
if (fieldItem[i, j] == WALL || fieldItem[i, j] == ENEMY) continue;
var nh = dp[i, j].health;
var ope = "S";
var count = dp[i, j].count;
var got = dp[i, j].got;
if (!(got is null)) pool2.Add(got);
if (i > 0 && nh.Chmax(dp[i - 1, j].health))
{
ope = "M D";
count = dp[i - 1, j].count;
got = dp[i - 1, j].got;
}
if (i < N - 1 && nh.Chmax(dp[i + 1, j].health))
{
ope = "M U";
count = dp[i + 1, j].count;
got = dp[i + 1, j].got;
}
if (j > 0 && nh.Chmax(dp[i, j - 1].health))
{
ope = "M R";
count = dp[i, j - 1].count;
got = dp[i, j - 1].got;
}
if (j < N - 1 && nh.Chmax(dp[i, j + 1].health))
{
ope = "M L";
count = dp[i, j + 1].count;
got = dp[i, j + 1].got;
}
nh -= 1;
nh -= effect[i, j, turn % 60];
if (nh <= 0) continue;
if (pool1.Count > 0)
{
var nextgot = pool1[pool1.Count - 1];
pool1.RemoveAt(pool1.Count - 1);
for (var k = 0; k < nextgot.ary.Length; ++k)
{
nextgot.ary[k] = got.ary[k];
}
got = nextgot;
}
else
{
got = got | 0;
}
if (0 < fieldItem[i, j] && fieldItem[i, j] <= JEWEL && !got[fieldItem[i, j]])
{
nh += gain;
++count;
got[fieldItem[i, j]] = true;
}
ndp[i, j] = (nh, count, got);
if (!dry) ans[i, j] = ope;
}
}
var t = dp; dp = ndp; ndp = t;
var t3 = pool1; pool1 = pool2; pool2 = t3;
if (maxH.Chmax(dp[goalY, goalX].health))
{
maxCount = dp[goalY, goalX].count;
finishTurn = ansField.Count;
}
ansField.Add(ans);
}
var firstAnswer = new List<string>();
if (!dry)
{
var nowx = goalX;
var nowy = goalY;
for (var turn = finishTurn; turn >= 0; --turn)
{
var ope = ansField[turn][nowy, nowx];
firstAnswer.Add(ope);
if (ope == "M D") --nowy;
else if (ope == "M U") ++nowy;
else if (ope == "M R") --nowx;
else if (ope == "M L") ++nowx;
}
firstAnswer.Reverse();
}
return ((int)maxH, maxCount, firstAnswer.ToArray());
};
{
var minokgain = double.MaxValue;
var gain = 0.0;
for (var mid = 8.0; mid < 10.7; mid += 0.5)
{
var res = calc(finishTurn + 1, maxH, mid, true);
var hp = res.lastHealth - res.count * mid;
Console.Error.WriteLine($"hp:{hp} mid:{mid}");
if (hp < 0) { }
else
{
if (minokgain.Chmin(hp)) gain = mid;
}
}
var ans = calc(finishTurn + 1, maxH, gain, false);
foreach (var item in firstAnswer)
{
Console.WriteLine(item);
}
foreach (var item in ans.Item3)
{
Console.WriteLine(item);
}
}
}
}
class Printer : StreamWriter
{
public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { base.AutoFlush = false; }
public Printer(Stream stream, Encoding encoding) : base(stream, encoding) { base.AutoFlush = false; }
}
static LIB_FastIO fastio = new LIB_FastIODebug();
static string[] args;
static public void Main(string[] args_t) { args = args_t; if (args_t.Length == 0) { fastio = new LIB_FastIO(); Console.SetOut(new Printer(Console.OpenStandardOutput())); } if (SAIKI) { var t = new Thread(Solve, 134217728); t.Start(); t.Join(); } else Solve(); Console.Out.Flush(); }
static long NN => fastio.Long();
static double ND => fastio.Double();
static string NS => fastio.Scan();
static long[] NNList(long N) => Repeat(0, N).Select(_ => NN).ToArray();
static double[] NDList(long N) => Repeat(0, N).Select(_ => ND).ToArray();
static string[] NSList(long N) => Repeat(0, N).Select(_ => NS).ToArray();
static long Count<T>(this IEnumerable<T> x, Func<T, bool> pred) => Enumerable.Count(x, pred);
static IEnumerable<T> Repeat<T>(T v, long n) => Enumerable.Repeat<T>(v, (int)n);
static IEnumerable<int> Range(long s, long c) => Enumerable.Range((int)s, (int)c);
static IOrderedEnumerable<T> OrderByRand<T>(this IEnumerable<T> x) => Enumerable.OrderBy(x, _ => xorshift);
static IOrderedEnumerable<T> OrderBy<T>(this IEnumerable<T> x) => Enumerable.OrderBy(x.OrderByRand(), e => e);
static IOrderedEnumerable<T1> OrderBy<T1, T2>(this IEnumerable<T1> x, Func<T1, T2> selector) => Enumerable.OrderBy(x.OrderByRand(), selector);
static IOrderedEnumerable<T> OrderByDescending<T>(this IEnumerable<T> x) => Enumerable.OrderByDescending(x.OrderByRand(), e => e);
static IOrderedEnumerable<T1> OrderByDescending<T1, T2>(this IEnumerable<T1> x, Func<T1, T2> selector) => Enumerable.OrderByDescending(x.OrderByRand(), selector);
static IOrderedEnumerable<string> OrderBy(this IEnumerable<string> x) => x.OrderByRand().OrderBy(e => e, StringComparer.OrdinalIgnoreCase);
static IOrderedEnumerable<T> OrderBy<T>(this IEnumerable<T> x, Func<T, string> selector) => x.OrderByRand().OrderBy(selector, StringComparer.OrdinalIgnoreCase);
static IOrderedEnumerable<string> OrderByDescending(this IEnumerable<string> x) => x.OrderByRand().OrderByDescending(e => e, StringComparer.OrdinalIgnoreCase);
static IOrderedEnumerable<T> OrderByDescending<T>(this IEnumerable<T> x, Func<T, string> selector) => x.OrderByRand().OrderByDescending(selector, StringComparer.OrdinalIgnoreCase);
static string Join<T>(this IEnumerable<T> x, string separator = "") => string.Join(separator, x);
static uint xorshift { get { _xsi.MoveNext(); return _xsi.Current; } }
static IEnumerator<uint> _xsi = _xsc();
static IEnumerator<uint> _xsc() { uint x = 123456789, y = 362436069, z = 521288629, w = (uint)(DateTime.Now.Ticks & 0xffffffff); while (true) { var t = x ^ (x << 11); x = y; y = z; z = w; w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)); yield return w; } }
static bool Chmax<T>(this ref T lhs, T rhs) where T : struct, IComparable<T> { if (lhs.CompareTo(rhs) < 0) { lhs = rhs; return true; } return false; }
static bool Chmin<T>(this ref T lhs, T rhs) where T : struct, IComparable<T> { if (lhs.CompareTo(rhs) > 0) { lhs = rhs; return true; } return false; }
static void Fill<T>(this T[] array, T value) => array.AsSpan().Fill(value);
static void Fill<T>(this T[,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0], array.Length).Fill(value);
static void Fill<T>(this T[,,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0, 0], array.Length).Fill(value);
static void Fill<T>(this T[,,,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0, 0, 0], array.Length).Fill(value);
}
}
namespace Library {
class LIB_Bitset : IEquatable<LIB_Bitset>
{
long n;
public ulong[] ary;
static readonly ulong[] ceil;
static LIB_Bitset()
{
ceil = new ulong[64];
ceil[0] = 0xffffffffffffffff;
ceil[1] = 1;
for (var i = 2; i < 64; i++)
{
ceil[i] = (ceil[i - 1] << 1) | 1;
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_Bitset(long size)
{
if (size <= 0) throw new Exception();
n = size;
ary = new ulong[((n - 1) >> 6) + 1];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_Bitset(LIB_Bitset src)
{
n = src.n;
ary = src.ary.ToArray();
}
public long Count => n;
public long PopCount => ary.Sum(e => LIB_BitUtil.PopCount(e));
public bool this[int idx]
{
[MethodImpl(MethodImplOptions.AggressiveInlining)]
get { return LIB_BitUtil.IsSet(ary[idx >> 6], idx & 63); }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
set
{
if (value) ary[idx >> 6] |= LIB_BitUtil.BitMask[idx & 63];
else ary[idx >> 6] &= ~LIB_BitUtil.BitMask[idx & 63];
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Bitset operator &(LIB_Bitset x, LIB_Bitset y)
{
if (x.n < y.n) { var t = x; x = y; y = t; }
var ret = new LIB_Bitset(x.n);
for (var i = 0; i < ret.ary.Length; i++) ret.ary[i] = x.ary[i];
for (var i = 0; i < y.ary.Length; i++) ret.ary[i] &= y.ary[i];
return ret;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Bitset operator |(LIB_Bitset x, LIB_Bitset y)
{
if (x.n < y.n) { var t = x; x = y; y = t; }
var ret = new LIB_Bitset(x.n);
for (var i = 0; i < ret.ary.Length; i++) ret.ary[i] = x.ary[i];
for (var i = 0; i < y.ary.Length; i++) ret.ary[i] |= y.ary[i];
return ret;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void OrEqual(LIB_Bitset y)
{
if (n < y.n)
{
n = y.n;
var tmp = new ulong[y.n];
for (var i = 0; i < ary.Length; i++) tmp[i] = ary[i];
ary = tmp;
}
for (var i = 0; i < y.ary.Length; i++) ary[i] |= y.ary[i];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Bitset operator ^(LIB_Bitset x, LIB_Bitset y)
{
if (x.n < y.n) { var t = x; x = y; y = t; }
var ret = new LIB_Bitset(x.n);
for (var i = 0; i < ret.ary.Length; i++) ret.ary[i] = x.ary[i];
for (var i = 0; i < y.ary.Length; i++) ret.ary[i] ^= y.ary[i];
return ret;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Bitset operator &(LIB_Bitset x, long y)
{
var ret = new LIB_Bitset(x.n);
for (var i = 0; i < ret.ary.Length; i++) ret.ary[i] = x.ary[i];
ret.ary[0] &= (ulong)y;
return ret;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Bitset operator |(LIB_Bitset x, long y)
{
var ret = new LIB_Bitset(x.n);
for (var i = 0; i < ret.ary.Length; i++) ret.ary[i] = x.ary[i];
ret.ary[0] |= (ulong)y;
return ret;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Bitset operator ^(LIB_Bitset x, long y)
{
var ret = new LIB_Bitset(x.n);
for (var i = 0; i < ret.ary.Length; i++) ret.ary[i] = x.ary[i];
ret.ary[0] ^= (ulong)y;
return ret;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Flip()
{
for (var i = 0; i < ary.Length; i++) ary[i] = ~ary[i];
ary[ary.Length - 1] &= ceil[n & 63];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Bitset operator ~(LIB_Bitset x)
{
var ret = new LIB_Bitset(x.n);
for (var i = 0; i < ret.ary.Length; i++) ret.ary[i] = ~x.ary[i];
ret.ary[ret.ary.Length - 1] &= ceil[ret.n & 63];
return ret;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void ShiftLeft(int num)
{
var moveCnt = num >> 6;
var moveBit = num & 63;
var i = ary.Length - 1;
for (; i >= moveCnt; i--)
{
ary[i] = ary[i - moveCnt] << moveBit;
if (moveBit > 0 && i > moveCnt) ary[i] |= ary[i - moveCnt - 1] >> (64 - moveBit);
}
for (; i >= 0; --i) ary[i] = 0;
ary[ary.Length - 1] &= ceil[n & 63];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Bitset operator <<(LIB_Bitset x, int num)
{
var ret = new LIB_Bitset(x.n);
var moveCnt = num >> 6;
var moveBit = num & 63;
var i = ret.ary.Length - 1;
for (; i >= moveCnt; i--)
{
ret.ary[i] = x.ary[i - moveCnt] << moveBit;
if (moveBit > 0 && i > moveCnt) ret.ary[i] |= x.ary[i - moveCnt - 1] >> (64 - moveBit);
}
for (; i >= 0; --i) ret.ary[i] = 0;
ret.ary[ret.ary.Length - 1] &= ceil[ret.n & 63];
return ret;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void ShiftRight(int num)
{
var moveCnt = num >> 6;
var moveBit = num & 63;
var aryMax = ary.Length - moveCnt;
var i = 0;
for (; i < aryMax; i++)
{
ary[i] = ary[i + moveCnt] >> moveBit;
if (moveBit > 0 && i < aryMax - 1) ary[i] |= ary[i + moveCnt + 1] << (64 - moveBit);
}
for (; i < ary.Length; ++i) ary[i] = 0;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Bitset operator >>(LIB_Bitset x, int num)
{
var ret = new LIB_Bitset(x.n);
var moveCnt = num >> 6;
var moveBit = num & 63;
var aryMax = ret.ary.Length - moveCnt;
var i = 0;
for (; i < aryMax; i++)
{
ret.ary[i] = x.ary[i + moveCnt] >> moveBit;
if (moveBit > 0 && i < aryMax - 1) ret.ary[i] |= x.ary[i + moveCnt + 1] << (64 - moveBit);
}
for (; i < ret.ary.Length; ++i) ret.ary[i] = 0;
return ret;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public bool operator ==(LIB_Bitset x, LIB_Bitset y)
{
if (x.n < y.n) { var t = x; x = y; y = t; }
var i = 0;
for (; i < y.ary.Length; i++) if (x.ary[i] != y.ary[i]) return false;
for (; i < x.ary.Length; i++) if (x.ary[i] != 0) return false;
return true;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public bool operator !=(LIB_Bitset x, LIB_Bitset y) => !(x == y);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public bool Equals(LIB_Bitset x) => x == this;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override bool Equals(object x) => x == null ? false : Equals((LIB_Bitset)x);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override int GetHashCode()
{
var t = ary.Aggregate((a, x) => a ^ x);
return (int)(((t >> 32) ^ t) & 0x000000007fffffff);
}
}
class LIB_BitUtil
{
public static readonly ulong[] BitMask;
static LIB_BitUtil()
{
BitMask = new ulong[64];
BitMask[0] = 1;
for (var i = 1; i < 64; i++) BitMask[i] = BitMask[i - 1] << 1;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public IEnumerable<long> ScanOne(long value)
{
for (; value > 0; value &= value - 1) yield return value & -value;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public int MSB(long value)
{
return 64 - (int)System.Runtime.Intrinsics.X86.Lzcnt.X64.LeadingZeroCount((ulong)value);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public int LSB(long value)
{
return 64 - (int)System.Runtime.Intrinsics.X86.Lzcnt.X64.LeadingZeroCount((ulong)(value & -value));
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public long PopCount(ulong value)
{
return (long)System.Runtime.Intrinsics.X86.Popcnt.X64.PopCount(value);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public long PopCount(long value) => PopCount((ulong)value);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public bool IsSet(ulong value, int idx) => (value & BitMask[idx]) != 0;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public bool IsSet(long value, int idx) => IsSet((ulong)value, idx);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public T[] BitZentansaku<T>(long bitlen, T e, Func<int, T, T> f)
{
var retlen = 1 << (int)bitlen;
var ret = new T[retlen];
var idx = 0;
ret[0] = e;
for (var i = 1; i < retlen; ++i)
{
if (i == (1 << (idx + 1))) ++idx;
ret[i] = f(idx, ret[i & (~(1 << idx))]);
}
return ret;
}
}
class LIB_FastIO
{
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_FastIO() { str = Console.OpenStandardInput(); }
readonly Stream str;
readonly byte[] buf = new byte[2048];
int len, ptr;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
byte read()
{
if (ptr >= len)
{
ptr = 0;
if ((len = str.Read(buf, 0, 2048)) <= 0)
{
return 0;
}
}
return buf[ptr++];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
char Char()
{
byte b = 0;
do b = read();
while (b < 33 || 126 < b);
return (char)b;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
virtual public string Scan()
{
var sb = new StringBuilder();
for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
sb.Append(b);
return sb.ToString();
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
virtual public long Long()
{
long ret = 0; byte b = 0; var ng = false;
do b = read();
while (b != '-' && (b < '0' || '9' < b));
if (b == '-') { ng = true; b = read(); }
for (; true; b = read())
{
if (b < '0' || '9' < b)
return ng ? -ret : ret;
else ret = (ret << 3) + (ret << 1) + b - '0';
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
virtual public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); }
}
class LIB_FastIODebug : LIB_FastIO
{
Queue<string> param = new Queue<string>();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
string NextString() { if (param.Count == 0) foreach (var item in Console.ReadLine().Split(' ')) param.Enqueue(item); return param.Dequeue(); }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_FastIODebug() { }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override string Scan() => NextString();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override long Long() => long.Parse(NextString());
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override double Double() => double.Parse(NextString());
}
}