MemoryFileTest.java

/*
 * Copyright (C) 2008 The Android Open Source Project
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package android.os;

import static org.junit.Assert.assertEquals;
import static org.junit.Assert.fail;

import android.platform.test.annotations.IgnoreUnderRavenwood;
import android.platform.test.ravenwood.RavenwoodRule;

import androidx.test.ext.junit.runners.AndroidJUnit4;
import androidx.test.filters.LargeTest;
import androidx.test.filters.SmallTest;

import org.junit.Ignore;
import org.junit.Rule;
import org.junit.Test;
import org.junit.runner.RunWith;

import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.nio.BufferOverflowException;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;

@RunWith(AndroidJUnit4.class)
@IgnoreUnderRavenwood(blockedBy = MemoryFile.class)
public class MemoryFileTest {
    @Rule
    public final RavenwoodRule mRavenwood = new RavenwoodRule();

    private void compareBuffers(byte[] buffer1, byte[] buffer2, int length) throws Exception {
        for (int i = 0; i < length; i++) {
            if (buffer1[i] != buffer2[i]) {
                throw new Exception("readBytes did not read back what writeBytes wrote");
            }
        }
    }

    /**
     * Keep allocating new files till the system purges them.
     */
    // Flaky test - temporarily suppress from large suite for now
    // @LargeTest
    @Test
    @Ignore("Flaky test")
    public void testPurge() throws Exception {
        List<MemoryFile> files = new ArrayList<MemoryFile>();
        try {
            while (true) {
                // This will fail if the process runs out of file descriptors before
                // the kernel starts purging ashmem areas.
                MemoryFile newFile = new MemoryFile("MemoryFileTest", 10000000);
                newFile.allowPurging(true);
                newFile.writeBytes(testString, 0, 0, testString.length);
                files.add(newFile);
                for (MemoryFile file : files) {
                    try {
                        file.readBytes(testString, 0, 0, testString.length);
                    } catch (IOException e) {
                        // Expected
                        return;
                    }
                }
            }
        } finally {
            for (MemoryFile fileToClose : files) {
                fileToClose.close();
            }
        }
    }

    @Test
    @SmallTest
    public void testRun() throws Exception {
        MemoryFile file = new MemoryFile("MemoryFileTest", 1000000);

        byte[] buffer = new byte[testString.length];

        // check low level accessors
        file.writeBytes(testString, 0, 2000, testString.length);
        file.readBytes(buffer, 2000, 0, testString.length);
        compareBuffers(testString, buffer, testString.length);

        // check streams
        buffer = new byte[testString.length];

        OutputStream os = file.getOutputStream();
        os.write(testString);

        InputStream is = file.getInputStream();
        is.mark(testString.length);
        is.read(buffer);
        compareBuffers(testString, buffer, testString.length);

        // test mark/reset
        buffer = new byte[testString.length];
        is.reset();
        is.read(buffer);
        compareBuffers(testString, buffer, testString.length);

        file.close();
    }

    // http://code.google.com/p/android/issues/detail?id=11415
    @Test
    public void testOutputStreamAdvances() throws IOException {
        MemoryFile file = new MemoryFile("MemoryFileTest", 10);

        OutputStream os = file.getOutputStream();
        os.write(new byte[] { 1, 2, 3, 4, 5 });
        os.write(new byte[] { -1, -1, 6, 7, 8, -1 }, 2, 3);
        os.write(9);
        try {
            os.write(new byte[] { -1, -1 });
            fail();
        } catch (IndexOutOfBoundsException | BufferOverflowException expected) {
        }

        byte[] copy = new byte[file.length()];
        file.readBytes(copy, 0, 0, file.length());
        assertEquals("[1, 2, 3, 4, 5, 6, 7, 8, 9, 0]", Arrays.toString(copy));
    }

    // Tests for the IndexOutOfBoundsException cases in read().

    private void readIndexOutOfBoundsException(int offset, int count, String msg)
            throws Exception {
        MemoryFile file = new MemoryFile("MemoryFileTest", testString.length);
        try {
            file.writeBytes(testString, 0, 0, testString.length);
            InputStream is = file.getInputStream();
            byte[] buffer = new byte[testString.length + 10];
            try {
                is.read(buffer, offset, count);
                fail(msg);
            } catch (IndexOutOfBoundsException ex) {
                // this is what should happen
            } finally {
                is.close();
            }
        } finally {
            file.close();
        }
    }

    @Test
    @SmallTest
    public void testReadNegativeOffset() throws Exception {
        readIndexOutOfBoundsException(-1, 5,
                "read() with negative offset should throw IndexOutOfBoundsException");
    }

    @Test
    @SmallTest
    public void testReadNegativeCount() throws Exception {
        readIndexOutOfBoundsException(5, -1,
                "read() with negative length should throw IndexOutOfBoundsException");
    }

    @Test
    @SmallTest
    public void testReadOffsetOverflow() throws Exception {
        readIndexOutOfBoundsException(testString.length + 10, 5,
                "read() with offset outside buffer should throw IndexOutOfBoundsException");
    }

    @Test
    @SmallTest
    public void testReadOffsetCountOverflow() throws Exception {
        readIndexOutOfBoundsException(testString.length, 11,
                "read() with offset + count outside buffer should throw IndexOutOfBoundsException");
    }

    // Test behavior of read() at end of file
    @Test
    @SmallTest
    public void testReadEOF() throws Exception {
        MemoryFile file = new MemoryFile("MemoryFileTest", testString.length);
        try {
            file.writeBytes(testString, 0, 0, testString.length);
            InputStream is = file.getInputStream();
            try {
                byte[] buffer = new byte[testString.length + 10];
                // read() with count larger than data should succeed, and return # of bytes read
                assertEquals(testString.length, is.read(buffer));
                compareBuffers(testString, buffer, testString.length);
                // Read at EOF should return -1
                assertEquals(-1, is.read());
            } finally {
                is.close();
            }
        } finally {
            file.close();
        }
    }

    // Tests that close() is idempotent
    @Test
    @SmallTest
    public void testCloseClose() throws Exception {
        MemoryFile file = new MemoryFile("MemoryFileTest", 1000000);
        byte[] data = new byte[512];
        file.writeBytes(data, 0, 0, 128);
        file.close();
        file.close();
    }

    // Tests that we can't read from a closed memory file
    @Test
    @SmallTest
    public void testCloseRead() throws Exception {
        MemoryFile file = new MemoryFile("MemoryFileTest", 1000000);
        file.close();

        try {
            byte[] data = new byte[512];
            assertEquals(128, file.readBytes(data, 0, 0, 128));
            fail("readBytes() after close() did not throw IOException.");
        } catch (IOException e) {
            // this is what should happen
        }
    }

    // Tests that we can't write to a closed memory file
    @Test
    @SmallTest
    public void testCloseWrite() throws Exception {
        MemoryFile file = new MemoryFile("MemoryFileTest", 1000000);
        file.close();

        try {
            byte[] data = new byte[512];
            file.writeBytes(data, 0, 0, 128);
            fail("writeBytes() after close() did not throw IOException.");
        } catch (IOException e) {
            // this is what should happen
        }
    }

    // Tests that we can't call allowPurging() after close()
    @Test
    @SmallTest
    public void testCloseAllowPurging() throws Exception {
        MemoryFile file = new MemoryFile("MemoryFileTest", 1000000);
        byte[] data = new byte[512];
        file.writeBytes(data, 0, 0, 128);
        file.close();

        try {
            file.allowPurging(true);
            fail("allowPurging() after close() did not throw IOException.");
        } catch (IOException e) {
            // this is what should happen
        }
    }

    // Tests that we don't leak file descriptors or mmap areas
    @Test
    @LargeTest
    public void testCloseLeak() throws Exception {
        // open enough memory files that we should run out of
        // file descriptors or address space if we leak either.
        for (int i = 0; i < 1025; i++) {
            MemoryFile file = new MemoryFile("MemoryFileTest", 5000000);
            file.writeBytes(testString, 0, 0, testString.length);
            file.close();
        }
    }

    private static final byte[] testString = new byte[] {
        3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 5, 0, 2, 8, 8, 4, 1, 9, 7, 1, 6, 9, 3, 9, 9, 3, 7, 5, 1, 0, 5, 8, 2, 0, 9, 7, 4, 9, 4, 4, 5, 9, 2, 3, 0, 7, 8, 1, 6, 4,
        0, 6, 2, 8, 6, 2, 0, 8, 9, 9, 8, 6, 2, 8, 0, 3, 4, 8, 2, 5, 3, 4, 2, 1, 1, 7, 0, 6, 7, 9, 8, 2, 1, 4, 8, 0, 8, 6, 5, 1, 3, 2, 8, 2, 3, 0, 6, 6, 4, 7, 0, 9, 3, 8, 4, 4, 6, 0, 9, 5, 5, 0, 5, 8, 2, 2, 3, 1, 7, 2,
        5, 3, 5, 9, 4, 0, 8, 1, 2, 8, 4, 8, 1, 1, 1, 7, 4, 5, 0, 2, 8, 4, 1, 0, 2, 7, 0, 1, 9, 3, 8, 5, 2, 1, 1, 0, 5, 5, 5, 9, 6, 4, 4, 6, 2, 2, 9, 4, 8, 9, 5, 4, 9, 3, 0, 3, 8, 1, 9, 6, 4, 4, 2, 8, 8, 1, 0, 9, 7, 5,
        6, 6, 5, 9, 3, 3, 4, 4, 6, 1, 2, 8, 4, 7, 5, 6, 4, 8, 2, 3, 3, 7, 8, 6, 7, 8, 3, 1, 6, 5, 2, 7, 1, 2, 0, 1, 9, 0, 9, 1, 4, 5, 6, 4, 8, 5, 6, 6, 9, 2, 3, 4, 6, 0, 3, 4, 8, 6, 1, 0, 4, 5, 4, 3, 2, 6, 6, 4, 8, 2,
        1, 3, 3, 9, 3, 6, 0, 7, 2, 6, 0, 2, 4, 9, 1, 4, 1, 2, 7, 3, 7, 2, 4, 5, 8, 7, 0, 0, 6, 6, 0, 6, 3, 1, 5, 5, 8, 8, 1, 7, 4, 8, 8, 1, 5, 2, 0, 9, 2, 0, 9, 6, 2, 8, 2, 9, 2, 5, 4, 0, 9, 1, 7, 1, 5, 3, 6, 4, 3, 6,
        7, 8, 9, 2, 5, 9, 0, 3, 6, 0, 0, 1, 1, 3, 3, 0, 5, 3, 0, 5, 4, 8, 8, 2, 0, 4, 6, 6, 5, 2, 1, 3, 8, 4, 1, 4, 6, 9, 5, 1, 9, 4, 1, 5, 1, 1, 6, 0, 9, 4, 3, 3, 0, 5, 7, 2, 7, 0, 3, 6, 5, 7, 5, 9, 5, 9, 1, 9, 5, 3,
        0, 9, 2, 1, 8, 6, 1, 1, 7, 3, 8, 1, 9, 3, 2, 6, 1, 1, 7, 9, 3, 1, 0, 5, 1, 1, 8, 5, 4, 8, 0, 7, 4, 4, 6, 2, 3, 7, 9, 9, 6, 2, 7, 4, 9, 5, 6, 7, 3, 5, 1, 8, 8, 5, 7, 5, 2, 7, 2, 4, 8, 9, 1, 2, 2, 7, 9, 3, 8, 1,
        8, 3, 0, 1, 1, 9, 4, 9, 1, 2, 9, 8, 3, 3, 6, 7, 3, 3, 6, 2, 4, 4, 0, 6, 5, 6, 6, 4, 3, 0, 8, 6, 0, 2, 1, 3, 9, 4, 9, 4, 6, 3, 9, 5, 2, 2, 4, 7, 3, 7, 1, 9, 0, 7, 0, 2, 1, 7, 9, 8, 6, 0, 9, 4, 3, 7, 0, 2, 7, 7,
        0, 5, 3, 9, 2, 1, 7, 1, 7, 6, 2, 9, 3, 1, 7, 6, 7, 5, 2, 3, 8, 4, 6, 7, 4, 8, 1, 8, 4, 6, 7, 6, 6, 9, 4, 0, 5, 1, 3, 2, 0, 0, 0, 5, 6, 8, 1, 2, 7, 1, 4, 5, 2, 6, 3, 5, 6, 0, 8, 2, 7, 7, 8, 5, 7, 7, 1, 3, 4, 2,
        7, 5, 7, 7, 8, 9, 6, 0, 9, 1, 7, 3, 6, 3, 7, 1, 7, 8, 7, 2, 1, 4, 6, 8, 4, 4, 0, 9, 0, 1, 2, 2, 4, 9, 5, 3, 4, 3, 0, 1, 4, 6, 5, 4, 9, 5, 8, 5, 3, 7, 1, 0, 5, 0, 7, 9, 2, 2, 7, 9, 6, 8, 9, 2, 5, 8, 9, 2, 3, 5,
        4, 2, 0, 1, 9, 9, 5, 6, 1, 1, 2, 1, 2, 9, 0, 2, 1, 9, 6, 0, 8, 6, 4, 0, 3, 4, 4, 1, 8, 1, 5, 9, 8, 1, 3, 6, 2, 9, 7, 7, 4, 7, 7, 1, 3, 0, 9, 9, 6, 0, 5, 1, 8, 7, 0, 7, 2, 1, 1, 3, 4, 9, 9, 9, 9, 9, 9, 8, 3, 7,
        2, 9, 7, 8, 0, 4, 9, 9, 5, 1, 0, 5, 9, 7, 3, 1, 7, 3, 2, 8, 1, 6, 0, 9, 6, 3, 1, 8, 5, 9, 5, 0, 2, 4, 4, 5, 9, 4, 5, 5, 3, 4, 6, 9, 0, 8, 3, 0, 2, 6, 4, 2, 5, 2, 2, 3, 0, 8, 2, 5, 3, 3, 4, 4, 6, 8, 5, 0, 3, 5,
        2, 6, 1, 9, 3, 1, 1, 8, 8, 1, 7, 1, 0, 1, 0, 0, 0, 3, 1, 3, 7, 8, 3, 8, 7, 5, 2, 8, 8, 6, 5, 8, 7, 5, 3, 3, 2, 0, 8, 3, 8, 1, 4, 2, 0, 6, 1, 7, 1, 7, 7, 6, 6, 9, 1, 4, 7, 3, 0, 3, 5, 9, 8, 2, 5, 3, 4, 9, 0, 4,
        2, 8, 7, 5, 5, 4, 6, 8, 7, 3, 1, 1, 5, 9, 5, 6, 2, 8, 6, 3, 8, 8, 2, 3, 5, 3, 7, 8, 7, 5, 9, 3, 7, 5, 1, 9, 5, 7, 7, 8, 1, 8, 5, 7, 7, 8, 0, 5, 3, 2, 1, 7, 1, 2, 2, 6, 8, 0, 6, 6, 1, 3, 0, 0, 1, 9, 2, 7, 8, 7,
        6, 6, 1, 1, 1, 9, 5, 9, 0, 9, 2, 1, 6, 4, 2, 0, 1, 9, 8, 9, 3, 8, 0, 9, 5, 2, 5, 7, 2, 0, 1, 0, 6, 5, 4, 8, 5, 8, 6, 3, 2, 7, 8, 8, 6, 5, 9, 3, 6, 1, 5, 3, 3, 8, 1, 8, 2, 7, 9, 6, 8, 2, 3, 0, 3, 0, 1, 9, 5, 2,
        0, 3, 5, 3, 0, 1, 8, 5, 2, 9, 6, 8, 9, 9, 5, 7, 7, 3, 6, 2, 2, 5, 9, 9, 4, 1, 3, 8, 9, 1, 2, 4, 9, 7, 2, 1, 7, 7, 5, 2, 8, 3, 4, 7, 9, 1, 3, 1, 5, 1, 5, 5, 7, 4, 8, 5, 7, 2, 4, 2, 4, 5, 4, 1, 5, 0, 6, 9, 5, 9,
        5, 0, 8, 2, 9, 5, 3, 3, 1, 1, 6, 8, 6, 1, 7, 2, 7, 8, 5, 5, 8, 8, 9, 0, 7, 5, 0, 9, 8, 3, 8, 1, 7, 5, 4, 6, 3, 7, 4, 6, 4, 9, 3, 9, 3, 1, 9, 2, 5, 5, 0, 6, 0, 4, 0, 0, 9, 2, 7, 7, 0, 1, 6, 7, 1, 1, 3, 9, 0, 0,
        9, 8, 4, 8, 8, 2, 4, 0, 1, 2, 8, 5, 8, 3, 6, 1, 6, 0, 3, 5, 6, 3, 7, 0, 7, 6, 6, 0, 1, 0, 4, 7, 1, 0, 1, 8, 1, 9, 4, 2, 9, 5, 5, 5, 9, 6, 1, 9, 8, 9, 4, 6, 7, 6, 7, 8, 3, 7, 4, 4, 9, 4, 4, 8, 2, 5, 5, 3, 7, 9,
        7, 7, 4, 7, 2, 6, 8, 4, 7, 1, 0, 4, 0, 4, 7, 5, 3, 4, 6, 4, 6, 2, 0, 8, 0, 4, 6, 6, 8, 4, 2, 5, 9, 0, 6, 9, 4, 9, 1, 2, 9, 3, 3, 1, 3, 6, 7, 7, 0, 2, 8, 9, 8, 9, 1, 5, 2, 1, 0, 4, 7, 5, 2, 1, 6, 2, 0, 5, 6, 9,
        6, 6, 0, 2, 4, 0, 5, 8, 0, 3, 8, 1, 5, 0, 1, 9, 3, 5, 1, 1, 2, 5, 3, 3, 8, 2, 4, 3, 0, 0, 3, 5, 5, 8, 7, 6, 4, 0, 2, 4, 7, 4, 9, 6, 4, 7, 3, 2, 6, 3, 9, 1, 4, 1, 9, 9, 2, 7, 2, 6, 0, 4, 2, 6, 9, 9, 2, 2, 7, 9,
        6, 7, 8, 2, 3, 5, 4, 7, 8, 1, 6, 3, 6, 0, 0, 9, 3, 4, 1, 7, 2, 1, 6, 4, 1, 2, 1, 9, 9, 2, 4, 5, 8, 6, 3, 1, 5, 0, 3, 0, 2, 8, 6, 1, 8, 2, 9, 7, 4, 5, 5, 5, 7, 0, 6, 7, 4, 9, 8, 3, 8, 5, 0, 5, 4, 9, 4, 5, 8, 8,
        5, 8, 6, 9, 2, 6, 9, 9, 5, 6, 9, 0, 9, 2, 7, 2, 1, 0, 7, 9, 7, 5, 0, 9, 3, 0, 2, 9, 5, 5, 3, 2, 1, 1, 6, 5, 3, 4, 4, 9, 8, 7, 2, 0, 2, 7, 5, 5, 9, 6, 0, 2, 3, 6, 4, 8, 0, 6, 6, 5, 4, 9, 9, 1, 1, 9, 8, 8, 1, 8,
        3, 4, 7, 9, 7, 7, 5, 3, 5, 6, 6, 3, 6, 9, 8, 0, 7, 4, 2, 6, 5, 4, 2, 5, 2, 7, 8, 6, 2, 5, 5, 1, 8, 1, 8, 4, 1, 7, 5, 7, 4, 6, 7, 2, 8, 9, 0, 9, 7, 7, 7, 7, 2, 7, 9, 3, 8, 0, 0, 0, 8, 1, 6, 4, 7, 0, 6, 0, 0, 1,
        6, 1, 4, 5, 2, 4, 9, 1, 9, 2, 1, 7, 3, 2, 1, 7, 2, 1, 4, 7, 7, 2, 3, 5, 0, 1, 4, 1, 4, 4, 1, 9, 7, 3, 5, 6, 8, 5, 4, 8, 1, 6, 1, 3, 6, 1, 1, 5, 7, 3, 5, 2, 5, 5, 2, 1, 3, 3, 4, 7, 5, 7, 4, 1, 8, 4, 9, 4, 6, 8,
        4, 3, 8, 5, 2, 3, 3, 2, 3, 9, 0, 7, 3, 9, 4, 1, 4, 3, 3, 3, 4, 5, 4, 7, 7, 6, 2, 4, 1, 6, 8, 6, 2, 5, 1, 8, 9, 8, 3, 5, 6, 9, 4, 8, 5, 5, 6, 2, 0, 9, 9, 2, 1, 9, 2, 2, 2, 1, 8, 4, 2, 7, 2, 5, 5, 0, 2, 5, 4, 2,
        5, 6, 8, 8, 7, 6, 7, 1, 7, 9, 0, 4, 9, 4, 6, 0, 1, 6, 5, 3, 4, 6, 6, 8, 0, 4, 9, 8, 8, 6, 2, 7, 2, 3, 2, 7, 9, 1, 7, 8, 6, 0, 8, 5, 7, 8, 4, 3, 8, 3, 8, 2, 7, 9, 6, 7, 9, 7, 6, 6, 8, 1, 4, 5, 4, 1, 0, 0, 9, 5,
        3, 8, 8, 3, 7, 8, 6, 3, 6, 0, 9, 5, 0, 6, 8, 0, 0, 6, 4, 2, 2, 5, 1, 2, 5, 2, 0, 5, 1, 1, 7, 3, 9, 2, 9, 8, 4, 8, 9, 6, 0, 8, 4, 1, 2, 8, 4, 8, 8, 6, 2, 6, 9, 4, 5, 6, 0, 4, 2, 4, 1, 9, 6, 5, 2, 8, 5, 0, 2, 2,
        2, 1, 0, 6, 6, 1, 1, 8, 6, 3, 0, 6, 7, 4, 4, 2, 7, 8, 6, 2, 2, 0, 3, 9, 1, 9, 4, 9, 4, 5, 0, 4, 7, 1, 2, 3, 7, 1, 3, 7, 8, 6, 9, 6, 0, 9, 5, 6, 3, 6, 4, 3, 7, 1, 9, 1, 7, 2, 8, 7, 4, 6, 7, 7, 6, 4, 6, 5, 7, 5,
        7, 3, 9, 6, 2, 4, 1, 3, 8, 9, 0, 8, 6, 5, 8, 3, 2, 6, 4, 5, 9, 9, 5, 8, 1, 3, 3, 9, 0, 4, 7, 8, 0, 2, 7, 5, 9, 0, 0, 9, 9, 4, 6, 5, 7, 6, 4, 0, 7, 8, 9, 5, 1, 2, 6, 9, 4, 6, 8, 3, 9, 8, 3, 5, 2, 5, 9, 5, 7, 0,
        9, 8, 2, 5, 8, 2, 2, 6, 2, 0, 5, 2, 2, 4, 8, 9, 4, 0, 7, 7, 2, 6, 7, 1, 9, 4, 7, 8, 2, 6, 8, 4, 8, 2, 6, 0, 1, 4, 7, 6, 9, 9, 0, 9, 0, 2, 6, 4, 0, 1, 3, 6, 3, 9, 4, 4, 3, 7, 4, 5, 5, 3, 0, 5, 0, 6, 8, 2, 0, 3,
        4, 9, 6, 2, 5, 2, 4, 5, 1, 7, 4, 9, 3, 9, 9, 6, 5, 1, 4, 3, 1, 4, 2, 9, 8, 0, 9, 1, 9, 0, 6, 5, 9, 2, 5, 0, 9, 3, 7, 2, 2, 1, 6, 9, 6, 4, 6, 1, 5, 1, 5, 7, 0, 9, 8, 5, 8, 3, 8, 7, 4, 1, 0, 5, 9, 7, 8, 8, 5, 9,
        5, 9, 7, 7, 2, 9, 7, 5, 4, 9, 8, 9, 3, 0, 1, 6, 1, 7, 5, 3, 9, 2, 8, 4, 6, 8, 1, 3, 8, 2, 6, 8, 6, 8, 3, 8, 6, 8, 9, 4, 2, 7, 7, 4, 1, 5, 5, 9, 9, 1, 8, 5, 5, 9, 2, 5, 2, 4, 5, 9, 5, 3, 9, 5, 9, 4, 3, 1, 0, 4,
        9, 9, 7, 2, 5, 2, 4, 6, 8, 0, 8, 4, 5, 9, 8, 7, 2, 7, 3, 6, 4, 4, 6, 9, 5, 8, 4, 8, 6, 5, 3, 8, 3, 6, 7, 3, 6, 2, 2, 2, 6, 2, 6, 0, 9, 9, 1, 2, 4, 6, 0, 8, 0, 5, 1, 2, 4, 3, 8, 8, 4, 3, 9, 0, 4, 5, 1, 2, 4, 4,
        1, 3, 6, 5, 4, 9, 7, 6, 2, 7, 8, 0, 7, 9, 7, 7, 1, 5, 6, 9, 1, 4, 3, 5, 9, 9, 7, 7, 0, 0, 1, 2, 9, 6, 1, 6, 0, 8, 9, 4, 4, 1, 6, 9, 4, 8, 6, 8, 5, 5, 5, 8, 4, 8, 4, 0, 6, 3, 5, 3, 4, 2, 2, 0, 7, 2, 2, 2, 5, 8,
        2, 8, 4, 8, 8, 6, 4, 8, 1, 5, 8, 4, 5, 6, 0, 2, 8, 5, 0, 6, 0, 1, 6, 8, 4, 2, 7, 3, 9, 4, 5, 2, 2, 6, 7, 4, 6, 7, 6, 7, 8, 8, 9, 5, 2, 5, 2, 1, 3, 8, 5, 2, 2, 5, 4, 9, 9, 5, 4, 6, 6, 6, 7, 2, 7, 8, 2, 3, 9, 8,
        6, 4, 5, 6, 5, 9, 6, 1, 1, 6, 3, 5, 4, 8, 8, 6, 2, 3, 0, 5, 7, 7, 4, 5, 6, 4, 9, 8, 0, 3, 5, 5, 9, 3, 6, 3, 4, 5, 6, 8, 1, 7, 4, 3, 2, 4, 1, 1, 2, 5, 1, 5, 0, 7, 6, 0, 6, 9, 4, 7, 9, 4, 5, 1, 0, 9, 6, 5, 9, 6,
        0, 9, 4, 0, 2, 5, 2, 2, 8, 8, 7, 9, 7, 1, 0, 8, 9, 3, 1, 4, 5, 6, 6, 9, 1, 3, 6, 8, 6, 7, 2, 2, 8, 7, 4, 8, 9, 4, 0, 5, 6, 0, 1, 0, 1, 5, 0, 3, 3, 0, 8, 6, 1, 7, 9, 2, 8, 6, 8, 0, 9, 2, 0, 8, 7, 4, 7, 6, 0, 9,
        1, 7, 8, 2, 4, 9, 3, 8, 5, 8, 9, 0, 0, 9, 7, 1, 4, 9, 0, 9, 6, 7, 5, 9, 8, 5, 2, 6, 1, 3, 6, 5, 5, 4, 9, 7, 8, 1, 8, 9, 3, 1, 2, 9, 7, 8, 4, 8, 2, 1, 6, 8, 2, 9, 9, 8, 9, 4, 8, 7, 2, 2, 6, 5, 8, 8, 0, 4, 8, 5,
        7, 5, 6, 4, 0, 1, 4, 2, 7, 0, 4, 7, 7, 5, 5, 5, 1, 3, 2, 3, 7, 9, 6, 4, 1, 4, 5, 1, 5, 2, 3, 7, 4, 6, 2, 3, 4, 3, 6, 4, 5, 4, 2, 8, 5, 8, 4, 4, 4, 7, 9, 5, 2, 6, 5, 8, 6, 7, 8, 2, 1, 0, 5, 1, 1, 4, 1, 3, 5, 4,
        7, 3, 5, 7, 3, 9, 5, 2, 3, 1, 1, 3, 4, 2, 7, 1, 6, 6, 1, 0, 2, 1, 3, 5, 9, 6, 9, 5, 3, 6, 2, 3, 1, 4, 4, 2, 9, 5, 2, 4, 8, 4, 9, 3, 7, 1, 8, 7, 1, 1, 0, 1, 4, 5, 7, 6, 5, 4, 0, 3, 5, 9, 0, 2, 7, 9, 9, 3, 4, 4,
        0, 3, 7, 4, 2, 0, 0, 7, 3, 1, 0, 5, 7, 8, 5, 3, 9, 0, 6, 2, 1, 9, 8, 3, 8, 7, 4, 4, 7, 8, 0, 8, 4, 7, 8, 4, 8, 9, 6, 8, 3, 3, 2, 1, 4, 4, 5, 7, 1, 3, 8, 6, 8, 7, 5, 1, 9, 4, 3, 5, 0, 6, 4, 3, 0, 2, 1, 8, 4, 5,
        3, 1, 9, 1, 0, 4, 8, 4, 8, 1, 0, 0, 5, 3, 7, 0, 6, 1, 4, 6, 8, 0, 6, 7, 4, 9, 1, 9, 2, 7, 8, 1, 9, 1, 1, 9, 7, 9, 3, 9, 9, 5, 2, 0, 6, 1, 4, 1, 9, 6, 6, 3, 4, 2, 8, 7, 5, 4, 4, 4, 0, 6, 4, 3, 7, 4, 5, 1, 2, 3,
        7, 1, 8, 1, 9, 2, 1, 7, 9, 9, 9, 8, 3, 9, 1, 0, 1, 5, 9, 1, 9, 5, 6, 1, 8, 1, 4, 6, 7, 5, 1, 4, 2, 6, 9, 1, 2, 3, 9, 7, 4, 8, 9, 4, 0, 9, 0, 7, 1, 8, 6, 4, 9, 4, 2, 3, 1, 9, 6, 1, 5, 6, 7, 9, 4, 5, 2, 0, 8, 0,
        9, 5, 1, 4, 6, 5, 5, 0, 2, 2, 5, 2, 3, 1, 6, 0, 3, 8, 8, 1, 9, 3, 0, 1, 4, 2, 0, 9, 3, 7, 6, 2, 1, 3, 7, 8, 5, 5, 9, 5, 6, 6, 3, 8, 9, 3, 7, 7, 8, 7, 0, 8, 3, 0, 3, 9, 0, 6, 9, 7, 9, 2, 0, 7, 7, 3, 4, 6, 7, 2,
        2, 1, 8, 2, 5, 6, 2, 5, 9, 9, 6, 6, 1, 5, 0, 1, 4, 2, 1, 5, 0, 3, 0, 6, 8, 0, 3, 8, 4, 4, 7, 7, 3, 4, 5, 4, 9, 2, 0, 2, 6, 0, 5, 4, 1, 4, 6, 6, 5, 9, 2, 5, 2, 0, 1, 4, 9, 7, 4, 4, 2, 8, 5, 0, 7, 3, 2, 5, 1, 8,
        6, 6, 6, 0, 0, 2, 1, 3, 2, 4, 3, 4, 0, 8, 8, 1, 9, 0, 7, 1, 0, 4, 8, 6, 3, 3, 1, 7, 3, 4, 6, 4, 9, 6, 5, 1, 4, 5, 3, 9, 0, 5, 7, 9, 6, 2, 6, 8, 5, 6, 1, 0, 0, 5, 5, 0, 8, 1, 0, 6, 6, 5, 8, 7, 9, 6, 9, 9, 8, 1,
        6, 3, 5, 7, 4, 7, 3, 6, 3, 8, 4, 0, 5, 2, 5, 7, 1, 4, 5, 9, 1, 0, 2, 8, 9, 7, 0, 6, 4, 1, 4, 0, 1, 1, 0, 9, 7, 1, 2, 0, 6, 2, 8, 0, 4, 3, 9, 0, 3, 9, 7, 5, 9, 5, 1, 5, 6, 7, 7, 1, 5, 7, 7, 0, 0, 4, 2, 0, 3, 3,
        7, 8, 6, 9, 9, 3, 6, 0, 0, 7, 2, 3, 0, 5, 5, 8, 7, 6, 3, 1, 7, 6, 3, 5, 9, 4, 2, 1, 8, 7, 3, 1, 2, 5, 1, 4, 7, 1, 2, 0, 5, 3, 2, 9, 2, 8, 1, 9, 1, 8, 2, 6, 1, 8, 6, 1, 2, 5, 8, 6, 7, 3, 2, 1, 5, 7, 9, 1, 9, 8,
        4, 1, 4, 8, 4, 8, 8, 2, 9, 1, 6, 4, 4, 7, 0, 6, 0, 9, 5, 7, 5, 2, 7, 0, 6, 9, 5, 7, 2, 2, 0, 9, 1, 7, 5, 6, 7, 1, 1, 6, 7, 2, 2, 9, 1, 0, 9, 8, 1, 6, 9, 0, 9, 1, 5, 2, 8, 0, 1, 7, 3, 5, 0, 6, 7, 1, 2, 7, 4, 8,
        5, 8, 3, 2, 2, 2, 8, 7, 1, 8, 3, 5, 2, 0, 9, 3, 5, 3, 9, 6, 5, 7, 2, 5, 1, 2, 1, 0, 8, 3, 5, 7, 9, 1, 5, 1, 3, 6, 9, 8, 8, 2, 0, 9, 1, 4, 4, 4, 2, 1, 0, 0, 6, 7, 5, 1, 0, 3, 3, 4, 6, 7, 1, 1, 0, 3, 1, 4, 1, 2,
        6, 7, 1, 1, 1, 3, 6, 9, 9, 0, 8, 6, 5, 8, 5, 1, 6, 3, 9, 8, 3, 1, 5, 0, 1, 9, 7, 0, 1, 6, 5, 1, 5, 1, 1, 6, 8, 5, 1, 7, 1, 4, 3, 7, 6, 5, 7, 6, 1, 8, 3, 5, 1, 5, 5, 6, 5, 0, 8, 8, 4, 9, 0, 9, 9, 8, 9, 8, 5, 9,
        9, 8, 2, 3, 8, 7, 3, 4, 5, 5, 2, 8, 3, 3, 1, 6, 3, 5, 5, 0, 7, 6, 4, 7, 9, 1, 8, 5, 3, 5, 8, 9, 3, 2, 2, 6, 1, 8, 5, 4, 8, 9, 6, 3, 2, 1, 3, 2, 9, 3, 3, 0, 8, 9, 8, 5, 7, 0, 6, 4, 2, 0, 4, 6, 7, 5, 2, 5, 9, 0,
        7, 0, 9, 1, 5, 4, 8, 1, 4, 1, 6, 5, 4, 9, 8, 5, 9, 4, 6, 1, 6, 3, 7, 1, 8, 0, 2, 7, 0, 9, 8, 1, 9, 9, 4, 3, 0, 9, 9, 2, 4, 4, 8, 8, 9, 5, 7, 5, 7, 1, 2, 8, 2, 8, 9, 0, 5, 9, 2, 3, 2, 3, 3, 2, 6, 0, 9, 7, 2, 9,
        9, 7, 1, 2, 0, 8, 4, 4, 3, 3, 5, 7, 3, 2, 6, 5, 4, 8, 9, 3, 8, 2, 3, 9, 1, 1, 9, 3, 2, 5, 9, 7, 4, 6, 3, 6, 6, 7, 3, 0, 5, 8, 3, 6, 0, 4, 1, 4, 2, 8, 1, 3, 8, 8, 3, 0, 3, 2, 0, 3, 8, 2, 4, 9, 0, 3, 7, 5, 8, 9,
        8, 5, 2, 4, 3, 7, 4, 4, 1, 7, 0, 2, 9, 1, 3, 2, 7, 6, 5, 6, 1, 8, 0, 9, 3, 7, 7, 3, 4, 4, 4, 0, 3, 0, 7, 0, 7, 4, 6, 9, 2, 1, 1, 2, 0, 1, 9, 1, 3, 0, 2, 0, 3, 3, 0, 3, 8, 0, 1, 9, 7, 6, 2, 1, 1, 0, 1, 1, 0, 0,
        4, 4, 9, 2, 9, 3, 2, 1, 5, 1, 6, 0, 8, 4, 2, 4, 4, 4, 8, 5, 9, 6, 3, 7, 6, 6, 9, 8, 3, 8, 9, 5, 2, 2, 8, 6, 8, 4, 7, 8, 3, 1, 2, 3, 5, 5, 2, 6, 5, 8, 2, 1, 3, 1, 4, 4, 9, 5, 7, 6, 8, 5, 7, 2, 6, 2, 4, 3, 3, 4,
        4, 1, 8, 9, 3, 0, 3, 9, 6, 8, 6, 4, 2, 6, 2, 4, 3, 4, 1, 0, 7, 7, 3, 2, 2, 6, 9, 7, 8, 0, 2, 8, 0, 7, 3, 1, 8, 9, 1, 5, 4, 4, 1, 1, 0, 1, 0, 4, 4, 6, 8, 2, 3, 2, 5, 2, 7, 1, 6, 2, 0, 1, 0, 5, 2, 6, 5, 2, 2, 7,
        2, 1, 1, 1, 6, 6, 0, 3, 9, 6, 6, 6, 5, 5, 7, 3, 0, 9, 2, 5, 4, 7, 1, 1, 0, 5, 5, 7, 8, 5, 3, 7, 6, 3, 4, 6, 6, 8, 2, 0, 6, 5, 3, 1, 0, 9, 8, 9, 6, 5, 2, 6, 9, 1, 8, 6, 2, 0, 5, 6, 4, 7, 6, 9, 3, 1, 2, 5, 7, 0,
        5, 8, 6, 3, 5, 6, 6, 2, 0, 1, 8, 5, 5, 8, 1, 0, 0, 7, 2, 9, 3, 6, 0, 6, 5, 9, 8, 7, 6, 4, 8, 6, 1, 1, 7, 9, 1, 0, 4, 5, 3, 3, 4, 8, 8, 5, 0, 3, 4, 6, 1, 1, 3, 6, 5, 7, 6, 8, 6, 7, 5, 3, 2, 4, 9, 4, 4, 1, 6, 6,
        8, 0, 3, 9, 6, 2, 6, 5, 7, 9, 7, 8, 7, 7, 1, 8, 5, 5, 6, 0, 8, 4, 5, 5, 2, 9, 6, 5, 4, 1, 2, 6, 6, 5, 4, 0, 8, 5, 3, 0, 6, 1, 4, 3, 4, 4, 4, 3, 1, 8, 5, 8, 6, 7, 6, 9, 7, 5, 1, 4, 5, 6, 6, 1, 4, 0, 6, 8, 0, 0,
        7, 0, 0, 2, 3, 7, 8, 7, 7, 6, 5, 9, 1, 3, 4, 4, 0, 1, 7, 1, 2, 7, 4, 9, 4, 7, 0, 4, 2, 0, 5, 6, 2, 2, 3, 0, 5, 3, 8, 9, 9, 4, 5, 6, 1, 3, 1, 4, 0, 7, 1, 1, 2, 7, 0, 0, 0, 4, 0, 7, 8, 5, 4, 7, 3, 3, 2, 6, 9, 9,
        3, 9, 0, 8, 1, 4, 5, 4, 6, 6, 4, 6, 4, 5, 8, 8, 0, 7, 9, 7, 2, 7, 0, 8, 2, 6, 6, 8, 3, 0, 6, 3, 4, 3, 2, 8, 5, 8, 7, 8, 5, 6, 9, 8, 3, 0, 5, 2, 3, 5, 8, 0, 8, 9, 3, 3, 0, 6, 5, 7, 5, 7, 4, 0, 6, 7, 9, 5, 4, 5,
        7, 1, 6, 3, 7, 7, 5, 2, 5, 4, 2, 0, 2, 1, 1, 4, 9, 5, 5, 7, 6, 1, 5, 8, 1, 4, 0, 0, 2, 5, 0, 1, 2, 6, 2, 2, 8, 5, 9, 4, 1, 3, 0, 2, 1, 6, 4, 7, 1, 5, 5, 0, 9, 7, 9, 2, 5, 9, 2, 3, 0, 9, 9, 0, 7, 9, 6, 5, 4, 7,
        3, 7, 6, 1, 2, 5, 5, 1, 7, 6, 5, 6, 7, 5, 1, 3, 5, 7, 5, 1, 7, 8, 2, 9, 6, 6, 6, 4, 5, 4, 7, 7, 9, 1, 7, 4, 5, 0, 1, 1, 2, 9, 9, 6, 1, 4, 8, 9, 0, 3, 0, 4, 6, 3, 9, 9, 4, 7, 1, 3, 2, 9, 6, 2, 1, 0, 7, 3, 4, 0,
        4, 3, 7, 5, 1, 8, 9, 5, 7, 3, 5, 9, 6, 1, 4, 5, 8, 9, 0, 1, 9, 3, 8, 9, 7, 1, 3, 1, 1, 1, 7, 9, 0, 4, 2, 9, 7, 8, 2, 8, 5, 6, 4, 7, 5, 0, 3, 2, 0, 3, 1, 9, 8, 6, 9, 1, 5, 1, 4, 0, 2, 8, 7, 0, 8, 0, 8, 5, 9, 9,
        0, 4, 8, 0, 1, 0, 9, 4, 1, 2, 1, 4, 7, 2, 2, 1, 3, 1, 7, 9, 4, 7, 6, 4, 7, 7, 7, 2, 6, 2, 2, 4, 1, 4, 2, 5, 4, 8, 5, 4, 5, 4, 0, 3, 3, 2, 1, 5, 7, 1, 8, 5, 3, 0, 6, 1, 4, 2, 2, 8, 8, 1, 3, 7, 5, 8, 5, 0, 4, 3,
        0, 6, 3, 3, 2, 1, 7, 5, 1, 8, 2, 9, 7, 9, 8, 6, 6, 2, 2, 3, 7, 1, 7, 2, 1, 5, 9, 1, 6, 0, 7, 7, 1, 6, 6, 9, 2, 5, 4, 7, 4, 8, 7, 3, 8, 9, 8, 6, 6, 5, 4, 9, 4, 9, 4, 5, 0, 1, 1, 4, 6, 5, 4, 0, 6, 2, 8, 4, 3, 3,
        6, 6, 3, 9, 3, 7, 9, 0, 0, 3, 9, 7, 6, 9, 2, 6, 5, 6, 7, 2, 1, 4, 6, 3, 8, 5, 3, 0, 6, 7, 3, 6, 0, 9, 6, 5, 7, 1, 2, 0, 9, 1, 8, 0, 7, 6, 3, 8, 3, 2, 7, 1, 6, 6, 4, 1, 6, 2, 7, 4, 8, 8, 8, 8, 0, 0, 7, 8, 6, 9,
        2, 5, 6, 0, 2, 9, 0, 2, 2, 8, 4, 7, 2, 1, 0, 4, 0, 3, 1, 7, 2, 1, 1, 8, 6, 0, 8, 2, 0, 4, 1, 9, 0, 0, 0, 4, 2, 2, 9, 6, 6, 1, 7, 1, 1, 9, 6, 3, 7, 7, 9, 2, 1, 3, 3, 7, 5, 7, 5, 1, 1, 4, 9, 5, 9, 5, 0, 1, 5, 6,
        6, 0, 4, 9, 6, 3, 1, 8, 6, 2, 9, 4, 7, 2, 6, 5, 4, 7, 3, 6, 4, 2, 5, 2, 3, 0, 8, 1, 7, 7, 0, 3, 6, 7, 5, 1, 5, 9, 0, 6, 7, 3, 5, 0, 2, 3, 5, 0, 7, 2, 8, 3, 5, 4, 0, 5, 6, 7, 0, 4, 0, 3, 8, 6, 7, 4, 3, 5, 1, 3,
        6, 2, 2, 2, 2, 4, 7, 7, 1, 5, 8, 9, 1, 5, 0, 4, 9, 5, 3, 0, 9, 8, 4, 4, 4, 8, 9, 3, 3, 3, 0, 9, 6, 3, 4, 0, 8, 7, 8, 0, 7, 6, 9, 3, 2, 5, 9, 9, 3, 9, 7, 8, 0, 5, 4, 1, 9, 3, 4, 1, 4, 4, 7, 3, 7, 7, 4, 4, 1, 8,
        4, 2, 6, 3, 1, 2, 9, 8, 6, 0, 8, 0, 9, 9, 8, 8, 8, 6, 8, 7, 4, 1, 3, 2, 6, 0, 4, 7, 2, 1, 5, 6, 9, 5, 1, 6, 2, 3, 9, 6, 5, 8, 6, 4, 5, 7, 3, 0, 2, 1, 6, 3, 1, 5, 9, 8, 1, 9, 3, 1, 9, 5, 1, 6, 7, 3, 5, 3, 8, 1,
        2, 9, 7, 4, 1, 6, 7, 7, 2, 9, 4, 7, 8, 6, 7, 2, 4, 2, 2, 9, 2, 4, 6, 5, 4, 3, 6, 6, 8, 0, 0, 9, 8, 0, 6, 7, 6, 9, 2, 8, 2, 3, 8, 2, 8, 0, 6, 8, 9, 9, 6, 4, 0, 0, 4, 8, 2, 4, 3, 5, 4, 0, 3, 7, 0, 1, 4, 1, 6, 3,
        1, 4, 9, 6, 5, 8, 9, 7, 9, 4, 0, 9, 2, 4, 3, 2, 3, 7, 8, 9, 6, 9, 0, 7, 0, 6, 9, 7, 7, 9, 4, 2, 2, 3, 6, 2, 5, 0, 8, 2, 2, 1, 6, 8, 8, 9, 5, 7, 3, 8, 3, 7, 9, 8, 6, 2, 3, 0, 0, 1, 5, 9, 3, 7, 7, 6, 4, 7, 1, 6,
        5, 1, 2, 2, 8, 9, 3, 5, 7, 8, 6, 0, 1, 5, 8, 8, 1, 6, 1, 7, 5, 5, 7, 8, 2, 9, 7, 3, 5, 2, 3, 3, 4, 4, 6, 0, 4, 2, 8, 1, 5, 1, 2, 6, 2, 7, 2, 0, 3, 7, 3, 4, 3, 1, 4, 6, 5, 3, 1, 9, 7, 7, 7, 7, 4, 1, 6, 0, 3, 1,
        9, 9, 0, 6, 6, 5, 5, 4, 1, 8, 7, 6, 3, 9, 7, 9, 2, 9, 3, 3, 4, 4, 1, 9, 5, 2, 1, 5, 4, 1, 3, 4, 1, 8, 9, 9, 4, 8, 5, 4, 4, 4, 7, 3, 4, 5, 6, 7, 3, 8, 3, 1, 6, 2, 4, 9, 9, 3, 4, 1, 9, 1, 3, 1, 8, 1, 4, 8, 0, 9,
        2, 7, 7, 7, 7, 1, 0, 3, 8, 6, 3, 8, 7, 7, 3, 4, 3, 1, 7, 7, 2, 0, 7, 5, 4, 5, 6, 5, 4, 5, 3, 2, 2, 0, 7, 7, 7, 0, 9, 2, 1, 2, 0, 1, 9, 0, 5, 1, 6, 6, 0, 9, 6, 2, 8, 0, 4, 9, 0, 9, 2, 6, 3, 6, 0, 1, 9, 7, 5, 9,
        8, 8, 2, 8, 1, 6, 1, 3, 3, 2, 3, 1, 6, 6, 6, 3, 6, 5, 2, 8, 6, 1, 9, 3, 2, 6, 6, 8, 6, 3, 3, 6, 0, 6, 2, 7, 3, 5, 6, 7, 6, 3, 0, 3, 5, 4, 4, 7, 7, 6, 2, 8, 0, 3, 5, 0, 4, 5, 0, 7, 7, 7, 2, 3, 5, 5, 4, 7, 1, 0,
        5, 8, 5, 9, 5, 4, 8, 7, 0, 2, 7, 9, 0, 8, 1, 4, 3, 5, 6, 2, 4, 0, 1, 4, 5, 1, 7, 1, 8, 0, 6, 2, 4, 6, 4, 3, 6, 2, 6, 7, 9, 4, 5, 6, 1, 2, 7, 5, 3, 1, 8, 1, 3, 4, 0, 7, 8, 3, 3, 0, 3, 3, 6, 2, 5, 4, 2, 3, 2, 7,
        8, 3, 9, 4, 4, 9, 7, 5, 3, 8, 2, 4, 3, 7, 2, 0, 5, 8, 3, 5, 3, 1, 1, 4, 7, 7, 1, 1, 9, 9, 2, 6, 0, 6, 3, 8, 1, 3, 3, 4, 6, 7, 7, 6, 8, 7, 9, 6, 9, 5, 9, 7, 0, 3, 0, 9, 8, 3, 3, 9, 1, 3, 0, 7, 7, 1, 0, 9, 8, 7,
        0, 4, 0, 8, 5, 9, 1, 3, 3, 7, 4, 6, 4, 1, 4, 4, 2, 8, 2, 2, 7, 7, 2, 6, 3, 4, 6, 5, 9, 4, 7, 0, 4, 7, 4, 5, 8, 7, 8, 4, 7, 7, 8, 7, 2, 0, 1, 9, 2, 7, 7, 1, 5, 2, 8, 0, 7, 3, 1, 7, 6, 7, 9, 0, 7, 7, 0, 7, 1, 5,
        7, 2, 1, 3, 4, 4, 4, 7, 3, 0, 6, 0, 5, 7, 0, 0, 7, 3, 3, 4, 9, 2, 4, 3, 6, 9, 3, 1, 1, 3, 8, 3, 5, 0, 4, 9, 3, 1, 6, 3, 1, 2, 8, 4, 0, 4, 2, 5, 1, 2, 1, 9, 2, 5, 6, 5, 1, 7, 9, 8, 0, 6, 9, 4, 1, 1, 3, 5, 2, 8,
        0, 1, 3, 1, 4, 7, 0, 1, 3, 0, 4, 7, 8, 1, 6, 4, 3, 7, 8, 8, 5, 1, 8, 5, 2, 9, 0, 9, 2, 8, 5, 4, 5, 2, 0, 1, 1, 6, 5, 8, 3, 9, 3, 4, 1, 9, 6, 5, 6, 2, 1, 3, 4, 9, 1, 4, 3, 4, 1, 5, 9, 5, 6, 2, 5, 8, 6, 5, 8, 6,
        5, 5, 7, 0, 5, 5, 2, 6, 9, 0, 4, 9, 6, 5, 2, 0, 9, 8, 5, 8, 0, 3, 3, 8, 5, 0, 7, 2, 2, 4, 2, 6, 4, 8, 2, 9, 3, 9, 7, 2, 8, 5, 8, 4, 7, 8, 3, 1, 6, 3, 0, 5, 7, 7, 7, 7, 5, 6, 0, 6, 8, 8, 8, 7, 6, 4, 4, 6, 2, 4,
        8, 2, 4, 6, 8, 5, 7, 9, 2, 6, 0, 3, 9, 5, 3, 5, 2, 7, 7, 3, 4, 8, 0, 3, 0, 4, 8, 0, 2, 9, 0, 0, 5, 8, 7, 6, 0, 7, 5, 8, 2, 5, 1, 0, 4, 7, 4, 7, 0, 9, 1, 6, 4, 3, 9, 6, 1, 3, 6, 2, 6, 7, 6, 0, 4, 4, 9, 2, 5, 6,
        2, 7, 4, 2, 0, 4, 2, 0, 8, 3, 2, 0, 8, 5, 6, 6, 1, 1, 9, 0, 6, 2, 5, 4, 5, 4, 3, 3, 7, 2, 1, 3, 1, 5, 3, 5, 9, 5, 8, 4, 5, 0, 6, 8, 7, 7, 2, 4, 6, 0, 2, 9, 0, 1, 6, 1, 8, 7, 6, 6, 7, 9, 5, 2, 4, 0, 6, 1, 6, 3,
        4, 2, 5, 2, 2, 5, 7, 7, 1, 9, 5, 4, 2, 9, 1, 6, 2, 9, 9, 1, 9, 3, 0, 6, 4, 5, 5, 3, 7, 7, 9, 9, 1, 4, 0, 3, 7, 3, 4, 0, 4, 3, 2, 8, 7, 5, 2, 6, 2, 8, 8, 8, 9, 6, 3, 9, 9, 5, 8, 7, 9, 4, 7, 5, 7, 2, 9, 1, 7, 4,
        6, 4, 2, 6, 3, 5, 7, 4, 5, 5, 2, 5, 4, 0, 7, 9, 0, 9, 1, 4, 5, 1, 3, 5, 7, 1, 1, 1, 3, 6, 9, 4, 1, 0, 9, 1, 1, 9, 3, 9, 3, 2, 5, 1, 9, 1, 0, 7, 6, 0, 2, 0, 8, 2, 5, 2, 0, 2, 6, 1, 8, 7, 9, 8, 5, 3, 1, 8, 8, 7,
        7, 0, 5, 8, 4, 2, 9, 7, 2, 5, 9, 1, 6, 7, 7, 8, 1, 3, 1, 4, 9, 6, 9, 9, 0, 0, 9, 0, 1, 9, 2, 1, 1, 6, 9, 7, 1, 7, 3, 7, 2, 7, 8, 4, 7, 6, 8, 4, 7, 2, 6, 8, 6, 0, 8, 4, 9, 0, 0, 3, 3, 7, 7, 0, 2, 4, 2, 4, 2, 9,
        1, 6, 5, 1, 3, 0, 0, 5, 0, 0, 5, 1, 6, 8, 3, 2, 3, 3, 6, 4, 3, 5, 0, 3, 8, 9, 5, 1, 7, 0, 2, 9, 8, 9, 3, 9, 2, 2, 3, 3, 4, 5, 1, 7, 2, 2, 0, 1, 3, 8, 1, 2, 8, 0, 6, 9, 6, 5, 0, 1, 1, 7, 8, 4, 4, 0, 8, 7, 4, 5,
        1, 9, 6, 0, 1, 2, 1, 2, 2, 8, 5, 9, 9, 3, 7, 1, 6, 2, 3, 1, 3, 0, 1, 7, 1, 1, 4, 4, 4, 8, 4, 6, 4, 0, 9, 0, 3, 8, 9, 0, 6, 4, 4, 9, 5, 4, 4, 4, 0, 0, 6, 1, 9, 8, 6, 9, 0, 7, 5, 4, 8, 5, 1, 6, 0, 2, 6, 3, 2, 7,
        5, 0, 5, 2, 9, 8, 3, 4, 9, 1, 8, 7, 4, 0, 7, 8, 6, 6, 8, 0, 8, 8, 1, 8, 3, 3, 8, 5, 1, 0, 2, 2, 8, 3, 3, 4, 5, 0, 8, 5, 0, 4, 8, 6, 0, 8, 2, 5, 0, 3, 9, 3, 0, 2, 1, 3, 3, 2, 1, 9, 7, 1, 5, 5, 1, 8, 4, 3, 0, 6,
        3, 5, 4, 5, 5, 0, 0, 7, 6, 6, 8, 2, 8, 2, 9, 4, 9, 3, 0, 4, 1, 3, 7, 7, 6, 5, 5, 2, 7, 9, 3, 9, 7, 5, 1, 7, 5, 4, 6, 1, 3, 9, 5, 3, 9, 8, 4, 6, 8, 3, 3, 9, 3, 6, 3, 8, 3, 0, 4, 7, 4, 6, 1, 1, 9, 9, 6, 6, 5, 3,
        8, 5, 8, 1, 5, 3, 8, 4, 2, 0, 5, 6, 8, 5, 3, 3, 8, 6, 2, 1, 8, 6, 7, 2, 5, 2, 3, 3, 4, 0, 2, 8, 3, 0, 8, 7, 1, 1, 2, 3, 2, 8, 2, 7, 8, 9, 2, 1, 2, 5, 0, 7, 7, 1, 2, 6, 2, 9, 4, 6, 3, 2, 2, 9, 5, 6, 3, 9, 8, 9,
        8, 9, 8, 9, 3, 5, 8, 2, 1, 1, 6, 7, 4, 5, 6, 2, 7, 0, 1, 0, 2, 1, 8, 3, 5, 6, 4, 6, 2, 2, 0, 1, 3, 4, 9, 6, 7, 1, 5, 1, 8, 8, 1, 9, 0, 9, 7, 3, 0, 3, 8, 1, 1, 9, 8, 0, 0, 4, 9, 7, 3, 4, 0, 7, 2, 3, 9, 6, 1, 0,
        3, 6, 8, 5, 4, 0, 6, 6, 4, 3, 1, 9, 3, 9, 5, 0, 9, 7, 9, 0, 1, 9, 0, 6, 9, 9, 6, 3, 9, 5, 5, 2, 4, 5, 3, 0, 0, 5, 4, 5, 0, 5, 8, 0, 6, 8, 5, 5, 0, 1, 9, 5, 6, 7, 3, 0, 2, 2, 9, 2, 1, 9, 1, 3, 9, 3, 3, 9, 1, 8,
        5, 6, 8, 0, 3, 4, 4, 9, 0, 3, 9, 8, 2, 0, 5, 9, 5, 5, 1, 0, 0, 2, 2, 6, 3, 5, 3, 5, 3, 6, 1, 9, 2, 0, 4, 1, 9, 9, 4, 7, 4, 5, 5, 3, 8, 5, 9, 3, 8, 1, 0, 2, 3, 4, 3, 9, 5, 5, 4, 4, 9, 5, 9, 7, 7, 8, 3, 7, 7, 9,
        0, 2, 3, 7, 4, 2, 1, 6, 1, 7, 2, 7, 1, 1, 1, 7, 2, 3, 6, 4, 3, 4, 3, 5, 4, 3, 9, 4, 7, 8, 2, 2, 1, 8, 1, 8, 5, 2, 8, 6, 2, 4, 0, 8, 5, 1, 4, 0, 0, 6, 6, 6, 0, 4, 4, 3, 3, 2, 5, 8, 8, 8, 5, 6, 9, 8, 6, 7, 0, 5,
        4, 3, 1, 5, 4, 7, 0, 6, 9, 6, 5, 7, 4, 7, 4, 5, 8, 5, 5, 0, 3, 3, 2, 3, 2, 3, 3, 4, 2, 1, 0, 7, 3, 0, 1, 5, 4, 5, 9, 4, 0, 5, 1, 6, 5, 5, 3, 7, 9, 0, 6, 8, 6, 6, 2, 7, 3, 3, 3, 7, 9, 9, 5, 8, 5, 1, 1, 5, 6, 2,
        5, 7, 8, 4, 3, 2, 2, 9, 8, 8, 2, 7, 3, 7, 2, 3, 1, 9, 8, 9, 8, 7, 5, 7, 1, 4, 1, 5, 9, 5, 7, 8, 1, 1, 1, 9, 6, 3, 5, 8, 3, 3, 0, 0, 5, 9, 4, 0, 8, 7, 3, 0, 6, 8, 1, 2, 1, 6, 0, 2, 8, 7, 6, 4, 9, 6, 2, 8, 6, 7,
        4, 4, 6, 0, 4, 7, 7, 4, 6, 4, 9, 1, 5, 9, 9, 5, 0, 5, 4, 9, 7, 3, 7, 4, 2, 5, 6, 2, 6, 9, 0, 1, 0, 4, 9, 0, 3, 7, 7, 8, 1, 9, 8, 6, 8, 3, 5, 9, 3, 8, 1, 4, 6, 5, 7, 4, 1, 2, 6, 8, 0, 4, 9, 2, 5, 6, 4, 8, 7, 9,
        8, 5, 5, 6, 1, 4, 5, 3, 7, 2, 3, 4, 7, 8, 6, 7, 3, 3, 0, 3, 9, 0, 4, 6, 8, 8, 3, 8, 3, 4, 3, 6, 3, 4, 6, 5, 5, 3, 7, 9, 4, 9, 8, 6, 4, 1, 9, 2, 7, 0, 5, 6, 3, 8, 7, 2, 9, 3, 1, 7, 4, 8, 7, 2, 3, 3, 2, 0, 8, 3,
        7, 6, 0, 1, 1, 2, 3, 0, 2, 9, 9, 1, 1, 3, 6, 7, 9, 3, 8, 6, 2, 7, 0, 8, 9, 4, 3, 8, 7, 9, 9, 3, 6, 2, 0, 1, 6, 2, 9, 5, 1, 5, 4, 1, 3, 3, 7, 1, 4, 2, 4, 8, 9, 2, 8, 3, 0, 7, 2, 2, 0, 1, 2, 6, 9, 0, 1, 4, 7, 5,
        4, 6, 6, 8, 4, 7, 6, 5, 3, 5, 7, 6, 1, 6, 4, 7, 7, 3, 7, 9, 4, 6, 7, 5, 2, 0, 0, 4, 9, 0, 7, 5, 7, 1, 5, 5, 5, 2, 7, 8, 1, 9, 6, 5, 3, 6, 2, 1, 3, 2, 3, 9, 2, 6, 4, 0, 6, 1, 6, 0, 1, 3, 6, 3, 5, 8, 1, 5, 5, 9,
        0, 7, 4, 2, 2, 0, 2, 0, 2, 0, 3, 1, 8, 7, 2, 7, 7, 6, 0, 5, 2, 7, 7, 2, 1, 9, 0, 0, 5, 5, 6, 1, 4, 8, 4, 2, 5, 5, 5, 1, 8, 7, 9, 2, 5, 3, 0, 3, 4, 3, 5, 1, 3, 9, 8, 4, 4, 2, 5, 3, 2, 2, 3, 4, 1, 5, 7, 6, 2, 3,
        3, 6, 1, 0, 6, 4, 2, 5, 0, 6, 3, 9, 0, 4, 9, 7, 5, 0, 0, 8, 6, 5, 6, 2, 7, 1, 0, 9, 5, 3, 5, 9, 1, 9, 4, 6, 5, 8, 9, 7, 5, 1, 4, 1, 3, 1, 0, 3, 4, 8, 2, 2, 7, 6, 9, 3, 0, 6, 2, 4, 7, 4, 3, 5, 3, 6, 3, 2, 5, 6,
        9, 1, 6, 0, 7, 8, 1, 5, 4, 7, 8, 1, 8, 1, 1, 5, 2, 8, 4, 3, 6, 6, 7, 9, 5, 7, 0, 6, 1, 1, 0, 8, 6, 1, 5, 3, 3, 1, 5, 0, 4, 4, 5, 2, 1, 2, 7, 4, 7, 3, 9, 2, 4, 5, 4, 4, 9, 4, 5, 4, 2, 3, 6, 8, 2, 8, 8, 6, 0, 6,
        1, 3, 4, 0, 8, 4, 1, 4, 8, 6, 3, 7, 7, 6, 7, 0, 0, 9, 6, 1, 2, 0, 7, 1, 5, 1, 2, 4, 9, 1, 4, 0, 4, 3, 0, 2, 7, 2, 5, 3, 8, 6, 0, 7, 6, 4, 8, 2, 3, 6, 3, 4, 1, 4, 3, 3, 4, 6, 2, 3, 5, 1, 8, 9, 7, 5, 7, 6, 6, 4,
        5, 2, 1, 6, 4, 1, 3, 7, 6, 7, 9, 6, 9, 0, 3, 1, 4, 9, 5, 0, 1, 9, 1, 0, 8, 5, 7, 5, 9, 8, 4, 4, 2, 3, 9, 1, 9, 8, 6, 2, 9, 1, 6, 4, 2, 1, 9, 3, 9, 9, 4, 9, 0, 7, 2, 3, 6, 2, 3, 4, 6, 4, 6, 8, 4, 4, 1, 1, 7, 3,
        9, 4, 0, 3, 2, 6, 5, 9, 1, 8, 4, 0, 4, 4, 3, 7, 8, 0, 5, 1, 3, 3, 3, 8, 9, 4, 5, 2, 5, 7, 4, 2, 3, 9, 9, 5, 0, 8, 2, 9, 6, 5, 9, 1, 2, 2, 8, 5, 0, 8, 5, 5, 5, 8, 2, 1, 5, 7, 2, 5, 0, 3, 1, 0, 7, 1, 2, 5, 7, 0,
        1, 2, 6, 6, 8, 3, 0, 2, 4, 0, 2, 9, 2, 9, 5, 2, 5, 2, 2, 0, 1, 1, 8, 7, 2, 6, 7, 6, 7, 5, 6, 2, 2, 0, 4, 1, 5, 4, 2, 0, 5, 1, 6, 1, 8, 4, 1, 6, 3, 4, 8, 4, 7, 5, 6, 5, 1, 6, 9, 9, 9, 8, 1, 1, 6, 1, 4, 1, 0, 1,
        0, 0, 2, 9, 9, 6, 0, 7, 8, 3, 8, 6, 9, 0, 9, 2, 9, 1, 6, 0, 3, 0, 2, 8, 8, 4, 0, 0, 2, 6, 9, 1, 0, 4, 1, 4, 0, 7, 9, 2, 8, 8, 6, 2, 1, 5, 0, 7, 8, 4, 2, 4, 5, 1, 6, 7, 0, 9, 0, 8, 7, 0, 0, 0, 6, 9, 9, 2, 8, 2,
        1, 2, 0, 6, 6, 0, 4, 1, 8, 3, 7, 1, 8, 0, 6, 5, 3, 5, 5, 6, 7, 2, 5, 2, 5, 3, 2, 5, 6, 7, 5, 3, 2, 8, 6, 1, 2, 9, 1, 0, 4, 2, 4, 8, 7, 7, 6, 1, 8, 2, 5, 8, 2, 9, 7, 6, 5, 1, 5, 7, 9, 5, 9, 8, 4, 7, 0, 3, 5, 6,
        2, 2, 2, 6, 2, 9, 3, 4, 8, 6, 0, 0, 3, 4, 1, 5, 8, 7, 2, 2, 9, 8, 0, 5, 3, 4, 9, 8, 9, 6, 5, 0, 2, 2, 6, 2, 9, 1, 7, 4, 8, 7, 8, 8, 2, 0, 2, 7, 3, 4, 2, 0, 9, 2, 2, 2, 2, 4, 5, 3, 3, 9, 8, 5, 6, 2, 6, 4, 7, 6,
        6, 9, 1, 4, 9, 0, 5, 5, 6, 2, 8, 4, 2, 5, 0, 3, 9, 1, 2, 7, 5, 7, 7, 1, 0, 2, 8, 4, 0, 2, 7, 9, 9, 8, 0, 6, 6, 3, 6, 5, 8, 2, 5, 4, 8, 8, 9, 2, 6, 4, 8, 8, 0, 2, 5, 4, 5, 6, 6, 1, 0, 1, 7, 2, 9, 6, 7, 0, 2, 6,
        6, 4, 0, 7, 6, 5, 5, 9, 0, 4, 2, 9, 0, 9, 9, 4, 5, 6, 8, 1, 5, 0, 6, 5, 2, 6, 5, 3, 0, 5, 3, 7, 1, 8, 2, 9, 4, 1, 2, 7, 0, 3, 3, 6, 9, 3, 1, 3, 7, 8, 5, 1, 7, 8, 6, 0, 9, 0, 4, 0, 7, 0, 8, 6, 6, 7, 1, 1, 4, 9,
        6, 5, 5, 8, 3, 4, 3, 4, 3, 4, 7, 6, 9, 3, 3, 8, 5, 7, 8, 1, 7, 1, 1, 3, 8, 6, 4, 5, 5, 8, 7, 3, 6, 7, 8, 1, 2, 3, 0, 1, 4, 5, 8, 7, 6, 8, 7, 1, 2, 6, 6, 0, 3, 4, 8, 9, 1, 3, 9, 0, 9, 5, 6, 2, 0, 0, 9, 9, 3, 9,
        3, 6, 1, 0, 3, 1, 0, 2, 9, 1, 6, 1, 6, 1, 5, 2, 8, 8, 1, 3, 8, 4, 3, 7, 9, 0, 9, 9, 0, 4, 2, 3, 1, 7, 4, 7, 3, 3, 6, 3, 9, 4, 8, 0, 4, 5, 7, 5, 9, 3, 1, 4, 9, 3, 1, 4, 0, 5, 2, 9, 7, 6, 3, 4, 7, 5, 7, 4, 8, 1,
        1, 9, 3, 5, 6, 7, 0, 9, 1, 1, 0, 1, 3, 7, 7, 5, 1, 7, 2, 1, 0, 0, 8, 0, 3, 1, 5, 5, 9, 0, 2, 4, 8, 5, 3, 0, 9, 0, 6, 6, 9, 2, 0, 3, 7, 6, 7, 1, 9, 2, 2, 0, 3, 3, 2, 2, 9, 0, 9, 4, 3, 3, 4, 6, 7, 6, 8, 5, 1, 4,
        2, 2, 1, 4, 4, 7, 7, 3, 7, 9, 3, 9, 3, 7, 5, 1, 7, 0, 3, 4, 4, 3, 6, 6, 1, 9, 9, 1, 0, 4, 0, 3, 3, 7, 5, 1, 1, 1, 7, 3, 5, 4, 7, 1, 9, 1, 8, 5, 5, 0, 4, 6, 4, 4, 9, 0, 2, 6, 3, 6, 5, 5, 1, 2, 8, 1, 6, 2, 2, 8,
        8, 2, 4, 4, 6, 2, 5, 7, 5, 9, 1, 6, 3, 3, 3, 0, 3, 9, 1, 0, 7, 2, 2, 5, 3, 8, 3, 7, 4, 2, 1, 8, 2, 1, 4, 0, 8, 8, 3, 5, 0, 8, 6, 5, 7, 3, 9, 1, 7, 7, 1, 5, 0, 9, 6, 8, 2, 8, 8, 7, 4, 7, 8, 2, 6, 5, 6, 9, 9, 5,
        9, 9, 5, 7, 4, 4, 9, 0, 6, 6, 1, 7, 5, 8, 3, 4, 4, 1, 3, 7, 5, 2, 2, 3, 9, 7, 0, 9, 6, 8, 3, 4, 0, 8, 0, 0, 5, 3, 5, 5, 9, 8, 4, 9, 1, 7, 5, 4, 1, 7, 3, 8, 1, 8, 8, 3, 9, 9, 9, 4, 4, 6, 9, 7, 4, 8, 6, 7, 6, 2,
        6, 5, 5, 1, 6, 5, 8, 2, 7, 6, 5, 8, 4, 8, 3, 5, 8, 8, 4, 5, 3, 1, 4, 2, 7, 7, 5, 6, 8, 7, 9, 0, 0, 2, 9, 0, 9, 5, 1, 7, 0, 2, 8, 3, 5, 2, 9, 7, 1, 6, 3, 4, 4, 5, 6, 2, 1, 2, 9, 6, 4, 0, 4, 3, 5, 2, 3, 1, 1, 7,
        6, 0, 0, 6, 6, 5, 1, 0, 1, 2, 4, 1, 2, 0, 0, 6, 5, 9, 7, 5, 5, 8, 5, 1, 2, 7, 6, 1, 7, 8, 5, 8, 3, 8, 2, 9, 2, 0, 4, 1, 9, 7, 4, 8, 4, 4, 2, 3, 6, 0, 8, 0, 0, 7, 1, 9, 3, 0, 4, 5, 7, 6, 1, 8, 9, 3, 2, 3, 4, 9,
        2, 2, 9, 2, 7, 9, 6, 5, 0, 1, 9, 8, 7, 5, 1, 8, 7, 2, 1, 2, 7, 2, 6, 7, 5, 0, 7, 9, 8, 1, 2, 5, 5, 4, 7, 0, 9, 5, 8, 9, 0, 4, 5, 5, 6, 3, 5, 7, 9, 2, 1, 2, 2, 1, 0, 3, 3, 3, 4, 6, 6, 9, 7, 4, 9, 9, 2, 3, 5, 6,
        3, 0, 2, 5, 4, 9, 4, 7, 8, 0, 2, 4, 9, 0, 1, 1, 4, 1, 9, 5, 2, 1, 2, 3, 8, 2, 8, 1, 5, 3, 0, 9, 1, 1, 4, 0, 7, 9, 0, 7, 3, 8, 6, 0, 2, 5, 1, 5, 2, 2, 7, 4, 2, 9, 9, 5, 8, 1, 8, 0, 7, 2, 4, 7, 1, 6, 2, 5, 9, 1,
        6, 6, 8, 5, 4, 5, 1, 3, 3, 3, 1, 2, 3, 9, 4, 8, 0, 4, 9, 4, 7, 0, 7, 9, 1, 1, 9, 1, 5, 3, 2, 6, 7, 3, 4, 3, 0, 2, 8, 2, 4, 4, 1, 8, 6, 0, 4, 1, 4, 2, 6, 3, 6, 3, 9, 5, 4, 8, 0, 0, 0, 4, 4, 8, 0, 0, 2, 6, 7, 0,
        4, 9, 6, 2, 4, 8, 2, 0, 1, 7, 9, 2, 8, 9, 6, 4, 7, 6, 6, 9, 7, 5, 8, 3, 1, 8, 3, 2, 7, 1, 3, 1, 4, 2, 5, 1, 7, 0, 2, 9, 6, 9, 2, 3, 4, 8, 8, 9, 6, 2, 7, 6, 6, 8, 4, 4, 0, 3, 2, 3, 2, 6, 0, 9, 2, 7, 5, 2, 4, 9,
        6, 0, 3, 5, 7, 9, 9, 6, 4, 6, 9, 2, 5, 6, 5, 0, 4, 9, 3, 6, 8, 1, 8, 3, 6, 0, 9, 0, 0, 3, 2, 3, 8, 0, 9, 2, 9, 3, 4, 5,
        9, 5, 8, 8, 9, 7, 0, 6, 9, 5, 3, 6, 5, 3, 4, 9, 4, 0, 6, 0, 3, 4, 0, 2, 1, 6, 6, 5, 4, 4, 3, 7, 5, 5, 8, 9, 0, 0, 4, 5, 6, 3, 2, 8, 8, 2, 2, 5, 0, 5, 4, 5, 2, 5, 5, 6, 4, 0, 5, 6, 4, 4, 8, 2, 4, 6, 5, 1, 5, 1,
        8, 7, 5, 4, 7, 1, 1, 9, 6, 2, 1, 8, 4, 4, 3, 9, 6, 5, 8, 2, 5, 3, 3, 7, 5, 4, 3, 8, 8, 5, 6, 9, 0, 9, 4, 1, 1, 3, 0, 3, 1, 5, 0, 9, 5, 2, 6, 1, 7, 9, 3, 7, 8, 0, 0, 2, 9, 7, 4, 1, 2, 0, 7, 6, 6, 5, 1, 4, 7, 9,
        3, 9, 4, 2, 5, 9, 0, 2, 9, 8, 9, 6, 9, 5, 9, 4, 6, 9, 9, 5, 5, 6, 5, 7, 6, 1, 2, 1, 8, 6, 5, 6, 1, 9, 6, 7, 3, 3, 7, 8, 6, 2, 3, 6, 2, 5, 6, 1, 2, 5, 2, 1, 6, 3, 2, 0, 8, 6, 2, 8, 6, 9, 2, 2, 2, 1, 0, 3, 2, 7,
        4, 8, 8, 9, 2, 1, 8, 6, 5, 4, 3, 6, 4, 8, 0, 2, 2, 9, 6, 7, 8, 0, 7, 0, 5, 7, 6, 5, 6, 1, 5, 1, 4, 4, 6, 3, 2, 0, 4, 6, 9, 2, 7, 9, 0, 6, 8, 2, 1, 2, 0, 7, 3, 8, 8, 3, 7, 7, 8, 1, 4, 2, 3, 3, 5, 6, 2, 8, 2, 3,
        6, 0, 8, 9, 6, 3, 2, 0, 8, 0, 6, 8, 2, 2, 2, 4, 6, 8, 0, 1, 2, 2, 4, 8, 2, 6, 1, 1, 7, 7, 1, 8, 5, 8, 9, 6, 3, 8, 1, 4, 0, 9, 1, 8, 3, 9, 0, 3, 6, 7, 3, 6, 7, 2, 2, 2, 0, 8, 8, 8, 3, 2, 1, 5, 1, 3, 7, 5, 5, 6,
        0, 0, 3, 7, 2, 7, 9, 8, 3, 9, 4, 0, 0, 4, 1, 5, 2, 9, 7, 0, 0, 2, 8, 7, 8, 3, 0, 7, 6, 6, 7, 0, 9, 4, 4, 4, 7, 4, 5, 6, 0, 1, 3, 4, 5, 5, 6, 4, 1, 7, 2, 5, 4, 3, 7, 0, 9, 0, 6, 9, 7, 9, 3, 9, 6, 1, 2, 2, 5, 7,
        1, 4, 2, 9, 8, 9, 4, 6, 7, 1, 5, 4, 3, 5, 7, 8, 4, 6, 8, 7, 8, 8, 6, 1, 4, 4, 4, 5, 8, 1, 2, 3, 1, 4, 5, 9, 3, 5, 7, 1, 9, 8, 4, 9, 2, 2, 5, 2, 8, 4, 7, 1, 6, 0, 5, 0, 4, 9, 2, 2, 1, 2, 4, 2, 4, 7, 0, 1, 4, 1,
        2, 1, 4, 7, 8, 0, 5, 7, 3, 4, 5, 5, 1, 0, 5, 0, 0, 8, 0, 1, 9, 0, 8, 6, 9, 9, 6, 0, 3, 3, 0, 2, 7, 6, 3, 4, 7, 8, 7, 0, 8, 1, 0, 8, 1, 7, 5, 4, 5, 0, 1, 1, 9, 3, 0, 7, 1, 4, 1, 2, 2, 3, 3, 9, 0, 8, 6, 6, 3, 9,
        3, 8, 3, 3, 9, 5, 2, 9, 4, 2, 5, 7, 8, 6, 9, 0, 5, 0, 7, 6, 4, 3, 1, 0, 0, 6, 3, 8, 3, 5, 1, 9, 8, 3, 4, 3, 8, 9, 3, 4, 1, 5, 9, 6, 1, 3, 1, 8, 5, 4, 3, 4, 7, 5, 4, 6, 4, 9, 5, 5, 6, 9, 7, 8, 1, 0, 3, 8, 2, 9,
        3, 0, 9, 7, 1, 6, 4, 6, 5, 1, 4, 3, 8, 4, 0, 7, 0, 0, 7, 0, 7, 3, 6, 0, 4, 1, 1, 2, 3, 7, 3, 5, 9, 9, 8, 4, 3, 4, 5, 2, 2, 5, 1, 6, 1, 0, 5, 0, 7, 0, 2, 7, 0, 5, 6, 2, 3, 5, 2, 6, 6, 0, 1, 2, 7, 6, 4, 8, 4, 8,
        3, 0, 8, 4, 0, 7, 6, 1, 1, 8, 3, 0, 1, 3, 0, 5, 2, 7, 9, 3, 2, 0, 5, 4, 2, 7, 4, 6, 2, 8, 6, 5, 4, 0, 3, 6, 0, 3, 6, 7, 4, 5, 3, 2, 8, 6, 5, 1, 0, 5, 7, 0, 6, 5, 8, 7, 4, 8, 8, 2, 2, 5, 6, 9, 8, 1, 5, 7, 9, 3,
        6, 7, 8, 9, 7, 6, 6, 9, 7, 4, 2, 2, 0, 5, 7, 5, 0, 5, 9, 6, 8, 3, 4, 4, 0, 8, 6, 9, 7, 3, 5, 0, 2, 0, 1, 4, 1, 0, 2, 0, 6, 7, 2, 3, 5, 8, 5, 0, 2, 0, 0, 7, 2, 4, 5, 2, 2, 5, 6, 3, 2, 6, 5, 1, 3, 4, 1, 0, 5, 5,
        9, 2, 4, 0, 1, 9, 0, 2, 7, 4, 2, 1, 6, 2, 4, 8, 4, 3, 9, 1, 4, 0, 3, 5, 9, 9, 8, 9, 5, 3, 5, 3, 9, 4, 5, 9, 0, 9, 4, 4, 0, 7, 0, 4, 6, 9, 1, 2, 0, 9, 1, 4, 0, 9, 3, 8, 7, 0, 0, 1, 2, 6, 4, 5, 6, 0, 0, 1, 6, 2,
        3, 7, 4, 2, 8, 8, 0, 2, 1, 0, 9, 2, 7, 6, 4, 5, 7, 9, 3, 1, 0, 6, 5, 7, 9, 2, 2, 9, 5, 5, 2, 4, 9, 8, 8, 7, 2, 7, 5, 8, 4, 6, 1, 0, 1, 2, 6, 4, 8, 3, 6, 9, 9, 9, 8, 9, 2, 2, 5, 6, 9, 5, 9, 6, 8, 8, 1, 5, 9, 2,
        0, 5, 6, 0, 0, 1, 0, 1, 6, 5, 5, 2, 5, 6, 3, 7, 5, 6, 7, 8
    };
}