MemoryFileTest.java revision a006b47298539d89dc7a06b54c070cb3e986352a 
1/*
2 * Copyright (C) 2008 The Android Open Source Project
3 *
4 * Licensed under the Apache License, Version 2.0 (the "License");
5 * you may not use this file except in compliance with the License.
6 * You may obtain a copy of the License at
7 *
8 *      http://www.apache.org/licenses/LICENSE-2.0
9 *
10 * Unless required by applicable law or agreed to in writing, software
11 * distributed under the License is distributed on an "AS IS" BASIS,
12 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13 * See the License for the specific language governing permissions and
14 * limitations under the License.
15 */
16
17package android.os;
18
19import android.test.AndroidTestCase;
20import android.test.suitebuilder.annotation.LargeTest;
21import android.test.suitebuilder.annotation.SmallTest;
22
23import java.io.File;
24import java.io.FileDescriptor;
25import java.io.FileOutputStream;
26import java.io.IOException;
27import java.io.InputStream;
28import java.io.OutputStream;
29import java.util.ArrayList;
30import java.util.List;
31
32public class MemoryFileTest extends AndroidTestCase {
33
34    private void compareBuffers(byte[] buffer1, byte[] buffer2, int length) throws Exception {
35        for (int i = 0; i < length; i++) {
36            if (buffer1[i] != buffer2[i]) {
37                throw new Exception("readBytes did not read back what writeBytes wrote");
38            }
39        }
40    }
41
42    /**
43     * Keep allocating new files till the system purges them.
44     */
45    // Flaky test - temporarily suppress from large suite for now
46    // @LargeTest
47    public void testPurge() throws Exception {
48        List<MemoryFile> files = new ArrayList<MemoryFile>();
49        try {
50            while (true) {
51                // This will fail if the process runs out of file descriptors before
52                // the kernel starts purging ashmem areas.
53                MemoryFile newFile = new MemoryFile("MemoryFileTest", 10000000);
54                newFile.allowPurging(true);
55                newFile.writeBytes(testString, 0, 0, testString.length);
56                files.add(newFile);
57                for (MemoryFile file : files) {
58                    try {
59                        file.readBytes(testString, 0, 0, testString.length);
60                    } catch (IOException e) {
61                        // Expected
62                        return;
63                    }
64                }
65            }
66        } finally {
67            for (MemoryFile fileToClose : files) {
68                fileToClose.close();
69            }
70        }
71    }
72
73    @SmallTest
74    public void testRun() throws Exception {
75        MemoryFile file = new MemoryFile("MemoryFileTest", 1000000);
76
77        byte[] buffer = new byte[testString.length];
78
79        // check low level accessors
80        file.writeBytes(testString, 0, 2000, testString.length);
81        file.readBytes(buffer, 2000, 0, testString.length);
82        compareBuffers(testString, buffer, testString.length);
83
84        // check streams
85        buffer = new byte[testString.length];
86
87        OutputStream os = file.getOutputStream();
88        os.write(testString);
89
90        InputStream is = file.getInputStream();
91        is.mark(testString.length);
92        is.read(buffer);
93        compareBuffers(testString, buffer, testString.length);
94
95        // test mark/reset
96        buffer = new byte[testString.length];
97        is.reset();
98        is.read(buffer);
99        compareBuffers(testString, buffer, testString.length);
100
101        file.close();
102    }
103
104    // Tests for the IndexOutOfBoundsException cases in read().
105
106    private void readIndexOutOfBoundsException(int offset, int count, String msg)
107            throws Exception {
108        MemoryFile file = new MemoryFile("MemoryFileTest", testString.length);
109        try {
110            file.writeBytes(testString, 0, 0, testString.length);
111            InputStream is = file.getInputStream();
112            byte[] buffer = new byte[testString.length + 10];
113            try {
114                is.read(buffer, offset, count);
115                fail(msg);
116            } catch (IndexOutOfBoundsException ex) {
117                // this is what should happen
118            } finally {
119                is.close();
120            }
121        } finally {
122            file.close();
123        }
124    }
125
126    @SmallTest
127    public void testReadNegativeOffset() throws Exception {
128        readIndexOutOfBoundsException(-1, 5,
129                "read() with negative offset should throw IndexOutOfBoundsException");
130    }
131
132    @SmallTest
133    public void testReadNegativeCount() throws Exception {
134        readIndexOutOfBoundsException(5, -1,
135                "read() with negative length should throw IndexOutOfBoundsException");
136    }
137
138    @SmallTest
139    public void testReadOffsetOverflow() throws Exception {
140        readIndexOutOfBoundsException(testString.length + 10, 5,
141                "read() with offset outside buffer should throw IndexOutOfBoundsException");
142    }
143
144    @SmallTest
145    public void testReadOffsetCountOverflow() throws Exception {
146        readIndexOutOfBoundsException(testString.length, 11,
147                "read() with offset + count outside buffer should throw IndexOutOfBoundsException");
148    }
149
150    // Test behavior of read() at end of file
151    @SmallTest
152    public void testReadEOF() throws Exception {
153        MemoryFile file = new MemoryFile("MemoryFileTest", testString.length);
154        try {
155            file.writeBytes(testString, 0, 0, testString.length);
156            InputStream is = file.getInputStream();
157            try {
158                byte[] buffer = new byte[testString.length + 10];
159                // read() with count larger than data should succeed, and return # of bytes read
160                assertEquals(testString.length, is.read(buffer));
161                compareBuffers(testString, buffer, testString.length);
162                // Read at EOF should return -1
163                assertEquals(-1, is.read());
164            } finally {
165                is.close();
166            }
167        } finally {
168            file.close();
169        }
170    }
171
172    // Tests that close() is idempotent
173    @SmallTest
174    public void testCloseClose() throws Exception {
175        MemoryFile file = new MemoryFile("MemoryFileTest", 1000000);
176        byte[] data = new byte[512];
177        file.writeBytes(data, 0, 0, 128);
178        file.close();
179        file.close();
180    }
181
182    // Tests that we can't read from a closed memory file
183    @SmallTest
184    public void testCloseRead() throws Exception {
185        MemoryFile file = new MemoryFile("MemoryFileTest", 1000000);
186        file.close();
187
188        try {
189            byte[] data = new byte[512];
190            assertEquals(128, file.readBytes(data, 0, 0, 128));
191            fail("readBytes() after close() did not throw IOException.");
192        } catch (IOException e) {
193            // this is what should happen
194        }
195    }
196
197    // Tests that we can't write to a closed memory file
198    @SmallTest
199    public void testCloseWrite() throws Exception {
200        MemoryFile file = new MemoryFile("MemoryFileTest", 1000000);
201        file.close();
202
203        try {
204            byte[] data = new byte[512];
205            file.writeBytes(data, 0, 0, 128);
206            fail("writeBytes() after close() did not throw IOException.");
207        } catch (IOException e) {
208            // this is what should happen
209        }
210    }
211
212    // Tests that we can't call allowPurging() after close()
213    @SmallTest
214    public void testCloseAllowPurging() throws Exception {
215        MemoryFile file = new MemoryFile("MemoryFileTest", 1000000);
216        byte[] data = new byte[512];
217        file.writeBytes(data, 0, 0, 128);
218        file.close();
219
220        try {
221            file.allowPurging(true);
222            fail("allowPurging() after close() did not throw IOException.");
223        } catch (IOException e) {
224            // this is what should happen
225        }
226    }
227
228    // Tests that we don't leak file descriptors or mmap areas
229    @LargeTest
230    public void testCloseLeak() throws Exception {
231        // open enough memory files that we should run out of
232        // file descriptors or address space if we leak either.
233        for (int i = 0; i < 1025; i++) {
234            MemoryFile file = new MemoryFile("MemoryFileTest", 5000000);
235            file.writeBytes(testString, 0, 0, testString.length);
236            file.close();
237        }
238    }
239
240    private static final byte[] testString = new byte[] {
241        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,
242        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,
243        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,
244        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,
245        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,
246        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,
247        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,
248        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,
249        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,
250        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,
251        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,
252        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,
253        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,
254        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,
255        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,
256        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,
257        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,
258        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,
259        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,
260        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,
261        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,
262        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,
263        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,
264        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,
265        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,
266        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,
267        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,
268        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,
269        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,
270        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,
271        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,
272        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,
273        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,
274        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,
275        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,
276        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,
277        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,
278        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,
279        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,
280        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,
281        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,
282        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,
283        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,
284        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,
285        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,
286        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,
287        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,
288        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,
289        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,
290        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,
291        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,
292        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,
293        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,
294        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,
295        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,
296        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,
297        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,
298        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,
299        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,
300        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,
301        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,
302        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,
303        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,
304        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,
305        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,
306        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,
307        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,
308        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,
309        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,
310        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,
311        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,
312        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,
313        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,
314        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,
315        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,
316        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,
317        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,
318        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,
319        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,
320        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,
321        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,
322        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,
323        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,
324        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,
325        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,
326        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,
327        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,
328        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,
329        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,
330        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,
331        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,
332        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,
333        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,
334        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,
335        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,
336        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,
337        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,
338        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,
339        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,
340        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,
341        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,
342        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,
343        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,
344        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,
345        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,
346        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,
347        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,
348        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,
349        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,
350        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,
351        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,
352        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,
353        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,
354        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,
355        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,
356        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,
357        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,
358        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,
359        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,
360        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,
361        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,
362        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,
363        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,
364        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,
365        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,
366        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,
367        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,
368        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,
369        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,
370        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,
371        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,
372        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,
373        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,
374        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,
375        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,
376        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,
377        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,
378        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,
379        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,
380        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,
381        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,
382        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,
383        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,
384        0, 5, 6, 0, 0, 1, 0, 1, 6, 5, 5, 2, 5, 6, 3, 7, 5, 6, 7, 8
385    };
386}
387