Problem:
Problem Statement

AtCoder currently hosts three types of contests: ABC, ARC, and AGC. As the number of users has grown, in order to meet the needs of more users, AtCoder has decided to increase the number of contests to 26 types, from AAC to AZC. For convenience, we number these 26 types as type 1 through type 26. AtCoder wants to schedule contests for D days so that user satisfaction is as high as possible. For every day, AtCoder will hold exactly one contest, and each contest will end on that day. The satisfaction is calculated as follows.

The satisfaction at the beginning of day 1 is 0. Satisfaction can be negative.

Holding contests increases satisfaction. The amount of increase will vary depending on a variety of factors. Specifically, we know in advance that holding a contest of type i on day d will increase the satisfaction by s_{d,i}.

If a particular type of contest is not held for a while, the satisfaction decreases. Each contest type i has an integer c_i, and at the end of each day d=1,2,...,D, the satisfaction decreases as follows. Let \mathrm{last}(d,i) be the last day before day d (including d) on which a contest of type i was held. If contests of type i have never been held yet, we define \mathrm{last}(d,i)=0. At the end of day d, the satisfaction decreases by \sum _{i=1}^{26}c_i \times (d-\mathrm{last}(d,i)).

Please schedule contests on behalf of AtCoder.
If the satisfaction at the end of day D is S, you will get a score of \max(10^6 + S, 0).
There are 50 test cases, and the score of a submission is the total scores for each test case.
You can make submissions multiple times, and the highest score among your submissions will be your score.

Constraints

D = 365

Each c_i is an integer satisfying 0\leq c_i \leq 100.

Each s_{d,i} is an integer satisfying 0\leq s_{d,i} \leq 20000.

Input

Input is given from Standard Input in the following format:

D
c_1 c_2 \cdots c_{26}
s_{1,1} s_{1,2} \cdots s_{1,26}
\vdots
s_{D,1} s_{D,2} \cdots s_{D,26}

Output

Let t_d (1\leq t_d \leq 26) be the type of the contest that will be held at day d.
Print D integers t_d to Standard Output in the following format:

t_1
t_2
\vdots
t_D

Any output that does not follow the above format may result in 0 pointsWA for that test case.

Input Generation

Each integer c_i and s_{d,i} is generated independently and uniformly at random from the integers in the range described in the problem statement.

Sample Input 1

5
86 90 69 51 2 96 71 47 88 34 45 46 89 34 31 38 97 84 41 80 14 4 50 83 7 82
19771 12979 18912 10432 10544 12928 13403 3047 10527 9740 8100 92 2856 14730 1396 15905 6534 4650 11469 3628 8433 2994 10899 16396 18355 11424
6674 17707 13855 16407 12232 2886 11908 1705 5000 1537 10440 10711 4917 10770 17272 15364 19277 18094 3929 3705 7169 6159 18683 15410 9092 4570
6878 4239 19925 1799 375 9563 3445 5658 19857 11401 6997 6498 19933 3848 2426 2146 19745 16880 17773 18359 3921 14172 16730 11157 5439 256
8633 15862 15303 10749 18499 7792 10317 5901 9395 11433 3514 3959 5202 19850 19469 9790 5653 784 18500 10552 17975 16615 7852 197 8471 7452
19855 17918 7990 10572 4333 438 9140 9104 12622 4985 12319 4028 19922 12132 16259 17476 2976 547 19195 19830 16285 4806 4471 9457 2864 2192

Sample Output 1

1
17
13
14
13

Note that this example is a small one for checking the problem specification. It does not satisfy the constraint D=365 and is never actually given as a test case. The final satisfaction with this output is 79325, so the score is 1079325.

Input generator, score calculator, and visualizer

Beginner's Guide

If you don't know what to do, proceed to problem B or C.

Solution in Java (OpenJDK 11.0.6) (judge verdict: Accepted)


import java.io.BufferedWriter;
import java.io.File;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashSet;
import java.util.NoSuchElementException;
import java.util.PriorityQueue;
import java.util.Set;

/**
 * Introduction to Heuristics Contest
 * @author tsukammo
 */
public class Main {

	// only call
	public static void main(String[] args) throws IOException {
		if (submit) {
			out = new PrintWriter(System.out);
		} else {
			out = new PrintWriter(new BufferedWriter(new FileWriter(file)));
		}
		new Main().run();
		out.flush();
	}

	// variables
	int D, T;
	int[] c;
	int[][] s;
	int[] preOpen;
	Node ans;
	Set<Integer> loopCheck = new HashSet<>();

	int[] dx = new int[] { 0, 0, -1, 1 };
	int[] dy = new int[] { -1, 1, 0, 0 };
	int[] dxR = new int[] { 0, 0, 1, -1 };
	int[] dyR = new int[] { 1, -1, 0, 0 };
	int[] dR = new int[] { 1, 0, 3, 2 };

	void run() {
		input();
		init();
		solve();
		output();
	}

	long timeLimit = 1_900;

	void solve() {
		Node now = new Node(D);
		now.eval();
		int trueScore = now.score;
		ans = now;
		System.err.println("first=" + now.score);
		now.evalTmp(null);
		int tmpScore = now.score;
		int checkSum = 0;
		for (int i = 0; i < T; i++) {
			checkSum += now.scoreC[i];
		}
		System.err.println("tmpScore=" + now.score + " " + checkSum);
		long currentTime = System.currentTimeMillis();
		int loopCount = 0;
		double forceLine;
		while (currentTime < et) {
			loopCount++;
			int r = rnd.nextInt(2);
			//int r = 0;
			int cd = -1;
			int ct = -1;
			switch (r) {
			case 0:
				cd = rnd.nextInt(D);
				ct = rnd.nextInt(T);
				while (now.contests[cd] == ct) {
					cd = rnd.nextInt(D);
					ct = rnd.nextInt(T);
				}
				tmpScore = now.evalChange(cd, ct);
				break;
			case 1:
				cd = rnd.nextInt(D - 1);
				tmpScore = now.evalSwap(cd);
				break;
			}

			currentTime = System.currentTimeMillis();
			forceLine = (et - currentTime) / C;
			if (now.score <= tmpScore || forceLine > rnd.nextDouble()) {
				now.score = tmpScore;

				switch (r) {
				case 0:
					now.stateChange(cd, ct);
					break;
				case 1:
					now.stateSwap(cd);
					break;
				}
			} else {
				// rollback
			}
		}
		checkSum = 0;
		for (int i = 0; i < T; i++) {
			checkSum += now.scoreC[i];
		}
		now.eval();
		System.err.println("final=" + now.score + " " + checkSum);
		System.err.println("loop=" + loopCount);
		System.err.println("solve END.");
	}

	void output() {
		for (int i = 0; i < D; i++) {
			out.println(ans.contests[i] + 1);
		}
	}

	char getCharD(byte d) {
		switch (d) {
		case 0:
			return 'U';
		case 1:
			return 'D';
		case 2:
			return 'L';
		case 3:
			return 'R';

		default:
			break;
		}
		return '_';
	}

	/**
	 * 計算用に編集
	 */
	void init() {
		preOpen = new int[T];
	}

	/**
	 * 素直に持つ
	 */
	void input() {
		D = in.nextInt();
		st = System.currentTimeMillis();
		et = st + timeLimit;
		T = 26;
		c = new int[T];
		for (int i = 0; i < T; i++) {
			c[i] = in.nextInt();
		}
		s = new int[D][T];
		for (int i = 0; i < D; i++) {
			for (int j = 0; j < T; j++) {
				s[i][j] = in.nextInt();
			}
		}
		System.err.println("input END.");
	}

	// param
	final byte GOAL = -9;
	final byte NONE = -1;
	final byte INF = 100;
	final byte BLOCK = 111;
	final long C = TL * 10_000;
	final int X = 1000; // 厳密な精度は不要と考え、小数点以下を簡略化するための桁増し。
	final int SCORE_D = -10;
	final int SCORE_D2 = -9;
	final int SCORE_C = 1;
	final int SCORE_R = 1000;
	final int SPEED_CAR = 250;
	final int SPEED_DOLLY = 100;
	final int PRIME_TIME_LIMIT = 240;
	final int ROLLY_LIMIT = 10;
	final int POINT_DELIVERY = 10000;
	final int M2S = 60;
	int TIME_LIMIT;
	int TIME_LIMIT_2;

	// predefined
	FastScanner in = new FastScanner(System.in);
	static PrintWriter out = new PrintWriter(System.out);
	static final String FILE_PATH = ".\\";
	static File file = new File(FILE_PATH + "result.out");
	long st = 0, et = 0;
	public Random rnd = new Random(19881221L);

	ArrayList<Integer> list = new ArrayList<>();
	ArrayDeque<P> q = new ArrayDeque<>();
	ArrayDeque<P> q2 = new ArrayDeque<>();

	// 2D-map
	final int[] dw = new int[] { 0, 1, 0, -1, 1, 1, -1, -1 };
	final int[] dh = new int[] { 1, 0, -1, 0, 1, -1, 1, -1 };

	// search
	PriorityQueue<Node> pq = new PriorityQueue<>();

	int[] preDay = new int[] { -1, -1 };

	class Node implements Comparable<Node> {

		int score;
		int[] scoreC;
		int[] contests;

		public Node(int N) {
			this.score = 0;
			scoreC = new int[T];
			contests = new int[N];
			for (int i = 0; i < contests.length; i++) {
				// 初期解
				contests[i] = rnd.nextInt(T);
			}
			// TODO
			/*
			contests[0] = 0;
			contests[1] = 16;
			contests[2] = 12;
			contests[3] = 13;
			contests[4] = 12;
			*/
		}

		int evalSwap(int d) {
			int ret = this.score;
			int before = this.contests[d];
			int after = this.contests[d + 1];
			ret -= this.scoreC[before];
			ret -= this.scoreC[after];
			Arrays.fill(preDay, -1);
			for (int i = 0; i < D; i++) {
				int t = this.contests[i];
				if (i == d) {
					ret += s[i][after];
					preDay[1] = i;
				} else if (i == d + 1) {
					ret += s[i][before];
					preDay[0] = i;
				} else {
					if (t == before) {
						ret += s[i][t];
						preDay[0] = i;
					} else if (t == after) {
						ret += s[i][t];
						preDay[1] = i;
					}
				}
				ret -= c[before] * (i - preDay[0]);
				ret -= c[after] * (i - preDay[1]);
			}
			return ret;
		}

		void stateSwap(int d) {
			int before = this.contests[d];
			int after = this.contests[d + 1];
			this.contests[d] = after;
			this.contests[d + 1] = before;
			this.scoreC[before] = 0;
			this.scoreC[after] = 0;

			Arrays.fill(preDay, -1);
			for (int i = 0; i < D; i++) {
				int t = this.contests[i];
				if (t == before) {
					this.scoreC[before] += s[i][t];
					preDay[0] = i;
				} else if (t == after) {
					this.scoreC[after] += s[i][t];
					preDay[1] = i;
				}
				this.scoreC[before] -= c[before] * (i - preDay[0]);
				this.scoreC[after] -= c[after] * (i - preDay[1]);
			}
		}

		int evalChange(int cd, int ct) {
			int ret = this.score;
			int before = this.contests[cd];
			ret -= this.scoreC[before];
			ret -= this.scoreC[ct];
			Arrays.fill(preDay, -1);
			for (int i = 0; i < D; i++) {
				int t = this.contests[i];
				if (i == cd) {
					ret += s[i][ct];
					preDay[1] = i;
				} else {
					if (t == before) {
						ret += s[i][t];
						preDay[0] = i;
					} else if (t == ct) {
						ret += s[i][t];
						preDay[1] = i;
					}
				}
				ret -= c[before] * (i - preDay[0]);
				ret -= c[ct] * (i - preDay[1]);
			}
			return ret;
		}

		void stateChange(int cd, int ct) {
			int before = this.contests[cd];
			this.contests[cd] = ct;
			this.scoreC[before] = 0;
			this.scoreC[ct] = 0;

			Arrays.fill(preDay, -1);
			for (int i = 0; i < D; i++) {
				int t = this.contests[i];
				if (t == before) {
					this.scoreC[before] += s[i][t];
					preDay[0] = i;
				} else if (t == ct) {
					this.scoreC[ct] += s[i][t];
					preDay[1] = i;
				}
				this.scoreC[before] -= c[before] * (i - preDay[0]);
				this.scoreC[ct] -= c[ct] * (i - preDay[1]);
			}
			//this.score += this.scoreC[before];
			//this.score += this.scoreC[ct];
		}

		public Node(Node n) {
			this.score = n.score;
			this.contests = Arrays.copyOf(n.contests, D);
		}

		public int eval() {
			this.score = 0;
			Arrays.fill(scoreC, 0);
			Arrays.fill(preOpen, -1);
			for (int i = 0; i < D; i++) {
				int t = this.contests[i];
				score += s[i][t];
				scoreC[t] += s[i][t];
				preOpen[t] = i;
				for (int j = 0; j < T; j++) {
					int tmp = c[j] * (i - preOpen[j]);
					score -= tmp;
					scoreC[j] -= tmp;
				}
			}
			return this.score;
		}



		public void evalTmp(byte[][][] nowStep) {
			// TODO
		}

		@Override
		public int compareTo(Node o) {
			return Integer.compare(this.score, o.score);
		}

	}

	int valid(int p) {
		if (p == -1) {
			return D - 1;
		}
		if (p == D) {
			return 0;
		}
		return p;
	}

	int changeD(int d, byte b) {
		switch (b) {
		case 0:
			return 0;
		case 1:
			return 1;
		case 2:
			return 2;
		case 3:
			return 3;
		default:
			break;
		}
		return d;
	}

	// object
	class P {
		int y, x;

		public P(int y, int x) {
			this.y = y;
			this.x = x;
		}

		public P(P p) {
			this.y = p.y;
			this.x = p.x;
		}

		P nextP(int d) {
			int ny = valid(y + dy[d]);
			int nx = valid(x + dx[d]);
			return new P(ny, nx);
		}

		public String toString() {
			return y + " " + x;
		}
	}

	class D {
		P p;
		byte d;

		public D(P p, int d) {
			this.p = p;
			this.d = (byte) d;
		}

		public D(D d) {
			this.p = new P(d.p);
			this.d = d.d;
		}

		public String toString() {
			return p.y + " " + p.x + " " + d;
		}
	}

	// library
	class FastScanner {
		private final InputStream in;
		private final byte[] buffer = new byte[1024];
		private int ptr = 0;
		private int buflen = 0;

		FastScanner(InputStream in) {
			this.in = in;
		}

		private boolean hasNextByte() {
			if (ptr < buflen) {
				return true;
			} else {
				ptr = 0;
				try {
					buflen = in.read(buffer);
				} catch (IOException e) {
					e.printStackTrace();
				}
				if (buflen <= 0) {
					return false;
				}
			}
			return true;
		}

		private int readByte() {
			if (hasNextByte())
				return buffer[ptr++];
			else
				return -1;
		}

		private 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 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());
		}
	}

	class Random {
		private long seed;
		private final long multiplier = 0x5DEECE66DL, addend = 0xBL, mask = (1L << 48) - 1;
		int bits, val;

		Random(long seed) {
			this.seed = seed;
		}

		int nextInt(int n) {
			do {
				bits = (int) ((seed = (seed * multiplier + addend) & mask) >>> 17);
				val = bits % n;
			} while (bits - val + (n - 1) < 0);
			return val;
		}

		double nextDouble() {
			return nextInt(10000000) / 10000000.0;
		}
	}

	static long TL = 1000;
	static boolean submit = true;
}