From aac457735f24129b9113c53ae93a1a11f524b6c0 Mon Sep 17 00:00:00 2001 From: Manuel Bentele Date: Fri, 8 Jan 2021 13:44:15 +0100 Subject: Add support for QCOW2 images for QEMU --- pom.xml | 22 +- src/main/java/org/openslx/util/vm/DiskImage.java | 156 ++++++++++++- .../java/org/openslx/util/vm/DiskImageTest.java | 250 +++++++++++++++++++++ .../openslx/util/vm/DiskImageTestResources.java | 16 ++ src/test/resources/disk/image-default.invalid | 1 + src/test/resources/disk/image-default.qcow2 | Bin 0 -> 196624 bytes src/test/resources/disk/image-default.vdi | Bin 0 -> 4608 bytes src/test/resources/disk/image-default.vmdk | Bin 0 -> 196608 bytes .../disk/image_cs-16384_cp-off_l2-off.qcow2 | Bin 0 -> 131072 bytes .../disk/image_cs-16384_cp-off_l2-on.qcow2 | Bin 0 -> 115712 bytes .../disk/image_cs-16384_cp-on_l2-off.qcow2 | Bin 0 -> 82432 bytes .../disk/image_cs-16384_cp-on_l2-on.qcow2 | Bin 0 -> 82432 bytes .../disk/image_cs-2097152_cp-off_l2-off.qcow2 | Bin 0 -> 16777216 bytes .../disk/image_cs-2097152_cp-off_l2-on.qcow2 | Bin 0 -> 14745600 bytes .../disk/image_cs-2097152_cp-on_l2-off.qcow2 | Bin 0 -> 10492416 bytes .../disk/image_cs-2097152_cp-on_l2-on.qcow2 | Bin 0 -> 10492416 bytes .../disk/image_cs-65536_cp-off_l2-off.qcow2 | Bin 0 -> 524288 bytes .../disk/image_cs-65536_cp-off_l2-on.qcow2 | Bin 0 -> 460800 bytes .../disk/image_cs-65536_cp-on_l2-off.qcow2 | Bin 0 -> 328192 bytes .../disk/image_cs-65536_cp-on_l2-on.qcow2 | Bin 0 -> 328192 bytes 20 files changed, 433 insertions(+), 12 deletions(-) create mode 100644 src/test/java/org/openslx/util/vm/DiskImageTest.java create mode 100644 src/test/java/org/openslx/util/vm/DiskImageTestResources.java create mode 100644 src/test/resources/disk/image-default.invalid create mode 100644 src/test/resources/disk/image-default.qcow2 create mode 100644 src/test/resources/disk/image-default.vdi create mode 100644 src/test/resources/disk/image-default.vmdk create mode 100644 src/test/resources/disk/image_cs-16384_cp-off_l2-off.qcow2 create mode 100644 src/test/resources/disk/image_cs-16384_cp-off_l2-on.qcow2 create mode 100644 src/test/resources/disk/image_cs-16384_cp-on_l2-off.qcow2 create mode 100644 src/test/resources/disk/image_cs-16384_cp-on_l2-on.qcow2 create mode 100644 src/test/resources/disk/image_cs-2097152_cp-off_l2-off.qcow2 create mode 100644 src/test/resources/disk/image_cs-2097152_cp-off_l2-on.qcow2 create mode 100644 src/test/resources/disk/image_cs-2097152_cp-on_l2-off.qcow2 create mode 100644 src/test/resources/disk/image_cs-2097152_cp-on_l2-on.qcow2 create mode 100644 src/test/resources/disk/image_cs-65536_cp-off_l2-off.qcow2 create mode 100644 src/test/resources/disk/image_cs-65536_cp-off_l2-on.qcow2 create mode 100644 src/test/resources/disk/image_cs-65536_cp-on_l2-off.qcow2 create mode 100644 src/test/resources/disk/image_cs-65536_cp-on_l2-on.qcow2 diff --git a/pom.xml b/pom.xml index 3ea3522..6daf903 100644 --- a/pom.xml +++ b/pom.xml @@ -47,8 +47,8 @@ maven-compiler-plugin 3.6.1 - 1.7 - 1.7 + 1.8 + 1.8 @@ -82,6 +82,14 @@ 3.0.0-M5 + + + ${basedir}/src/test/resources + + disk/* + + + @@ -126,5 +134,15 @@ lz4-java 1.4.1 + + commons-io + commons-io + 2.8.0 + + + com.google.jimfs + jimfs + 1.1 + diff --git a/src/main/java/org/openslx/util/vm/DiskImage.java b/src/main/java/org/openslx/util/vm/DiskImage.java index 15b3800..1602926 100644 --- a/src/main/java/org/openslx/util/vm/DiskImage.java +++ b/src/main/java/org/openslx/util/vm/DiskImage.java @@ -26,8 +26,7 @@ public class DiskImage public enum ImageFormat { - VMDK( "vmdk" ), QCOW2( "qcow2" ), VDI( "vdi" ), - DOCKER("dockerfile"); + VMDK( "vmdk" ), QCOW2( "qcow2" ), VDI( "vdi" ), DOCKER( "dockerfile" ); public final String extension; @@ -53,7 +52,7 @@ public class DiskImage return VDI; if ( virtId.equals( TConst.VIRT_QEMU ) ) return QCOW2; - if ( virtId.equals( TConst.VIRT_DOCKER) ) + if ( virtId.equals( TConst.VIRT_DOCKER ) ) return DOCKER; return null; } @@ -166,17 +165,154 @@ public class DiskImage return; } - // TODO: qcow + // qcow2 disk image file.seek( 0 ); if ( file.readInt() == QEMU_MAGIC ) { - // dummy values - this.isStandalone = true; - this.isCompressed = false; - this.isSnapshot = false; + // + // qcow2 (version 2 and 3) header format: + // + // magic (4 byte) + // version (4 byte) + // backing_file_offset (8 byte) + // backing_file_size (4 byte) + // cluster_bits (4 byte) + // size (8 byte) + // crypt_method (4 byte) + // l1_size (4 byte) + // l1_table_offset (8 byte) + // refcount_table_offset (8 byte) + // refcount_table_clusters (4 byte) + // nb_snapshots (4 byte) + // snapshots_offset (8 byte) + // incompatible_features (8 byte) [*] + // compatible_features (8 byte) [*] + // autoclear_features (8 byte) [*] + // refcount_order (8 byte) [*] + // header_length (4 byte) [*] + // + // [*] these fields are only available in the qcow2 version 3 header format + // + + // + // check qcow2 file format version + // + file.seek( 4 ); + final int qcowVersion = file.readInt(); + if ( qcowVersion < 2 || qcowVersion > 3 ) { + // disk image format is not a qcow2 disk format + throw new UnknownImageFormatException(); + } else { + // disk image format is a valid qcow2 disk format + this.hwVersion = qcowVersion; + this.subFormat = null; + } + + // + // check if qcow2 image does not refer to any backing file + // + file.seek( 8 ); + this.isStandalone = ( file.readLong() == 0 ) ? true : false; + + // + // check if qcow2 image does not contain any snapshot + // + file.seek( 56 ); + this.isSnapshot = ( file.readInt() == 0 ) ? true : false; + + // + // check if qcow2 image uses extended L2 tables + // + boolean qcowUseExtendedL2 = false; + + // extended L2 tables are only possible in qcow2 version 3 header format + if ( qcowVersion == 3 ) { + // read incompatible feature bits + file.seek( 72 ); + final long qcowIncompatibleFeatures = file.readLong(); + + // support for extended L2 tables is enabled if bit 4 is set + qcowUseExtendedL2 = ( ( ( qcowIncompatibleFeatures & 0x000000000010 ) >>> 4 ) == 1 ); + } + + // + // check if qcow2 image contains compressed clusters + // + boolean qcowCompressed = false; + + // get number of entries in L1 table + file.seek( 36 ); + final int qcowL1TableSize = file.readInt(); + + // check if a valid L1 table is present + if ( qcowL1TableSize > 0 ) { + // qcow2 image contains active L1 table with more than 0 entries: l1_size > 0 + // search for first L2 table and its first entry to get compression bit + + // get cluster bits to calculate the cluster size + file.seek( 20 ); + final int qcowClusterBits = file.readInt(); + final int qcowClusterSize = ( 1 << qcowClusterBits ); + + // entries of a L1 table have always the size of 8 byte (64 bit) + final int qcowL1TableEntrySize = 8; + + // entries of a L2 table have either the size of 8 or 16 byte (64 or 128 bit) + final int qcowL2TableEntrySize = ( qcowUseExtendedL2 ) ? 16 : 8; + + // calculate number of L2 table entries + final int qcowL2TableSize = qcowClusterSize / qcowL2TableEntrySize; + + // get offset of L1 table + file.seek( 40 ); + long qcowL1TableOffset = file.readLong(); + + // check for each L2 table referenced from an L1 table its entries + // until a compressed cluster descriptor is found + for ( long i = 0; i < qcowL1TableSize; i++ ) { + // get offset of current L2 table from the current L1 table entry + long qcowL1TableEntryOffset = qcowL1TableOffset + ( i * qcowL1TableEntrySize ); + file.seek( qcowL1TableEntryOffset ); + long qcowL1TableEntry = file.readLong(); + + // extract offset (bits 9 - 55) from L1 table entry + long qcowL2TableOffset = ( qcowL1TableEntry & 0x00fffffffffffe00L ); + + if ( qcowL2TableOffset == 0 ) { + // L2 table and all clusters described by this L2 table are unallocated + continue; + } + + // get each L2 table entry and check if it is a compressed cluster descriptor + for ( long j = 0; j < qcowL2TableSize; j++ ) { + // get current L2 table entry + long qcowL2TableEntryOffset = qcowL2TableOffset + ( j * qcowL2TableEntrySize ); + file.seek( qcowL2TableEntryOffset ); + long qcowL2TableEntry = file.readLong(); + + // extract cluster type (standard or compressed) (bit 62) + boolean qcowClusterCompressed = ( ( ( qcowL2TableEntry & 0x4000000000000000L ) >>> 62 ) == 1 ); + + // check if qcow2 disk image contains at least one compressed cluster descriptor + if ( qcowClusterCompressed ) { + qcowCompressed = true; + break; + } + } + + // terminate if one compressed cluster descriptor is already found + if ( qcowCompressed ) { + break; + } + } + } else { + // qcow2 image does not contain an active L1 table with any entry: l1_size = 0 + qcowCompressed = false; + } + + this.isCompressed = qcowCompressed; this.format = ImageFormat.QCOW2; - this.subFormat = null; this.diskDescription = null; - this.hwVersion = 0; + return; } } diff --git a/src/test/java/org/openslx/util/vm/DiskImageTest.java b/src/test/java/org/openslx/util/vm/DiskImageTest.java new file mode 100644 index 0000000..7537520 --- /dev/null +++ b/src/test/java/org/openslx/util/vm/DiskImageTest.java @@ -0,0 +1,250 @@ +package org.openslx.util.vm; + +import static org.junit.jupiter.api.Assertions.assertEquals; +import static org.junit.jupiter.api.Assertions.assertNotNull; +import static org.junit.jupiter.api.Assertions.assertNull; + +import java.io.File; +import java.io.FileNotFoundException; +import java.io.IOException; + +import org.junit.jupiter.api.Assertions; +import org.junit.jupiter.api.DisplayName; +import org.junit.jupiter.api.Test; +import org.openslx.util.vm.DiskImage.ImageFormat; +import org.openslx.util.vm.DiskImage.UnknownImageFormatException; + +public class DiskImageTest +{ + @Test + @DisplayName( "Test detection of VMDK disk image" ) + public void testVmdkDiskImage() throws FileNotFoundException, IOException, UnknownImageFormatException + { + File file = DiskImageTestResources.getDiskFile( "image-default.vmdk" ); + DiskImage image = new DiskImage( file ); + + assertEquals( ImageFormat.VMDK.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( false, image.isCompressed ); + assertEquals( 18, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of VDI disk image" ) + public void testVdiDiskImage() throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image-default.vdi" ) ); + + assertEquals( ImageFormat.VDI.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( false, image.isCompressed ); + assertEquals( 0, image.hwVersion ); + assertNotNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of default QCOW2 disk image" ) + public void testQcow2DiskImage() throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image-default.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( false, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of compressed, 16384 byte cluster QCOW2 disk image with extended L2 tables" ) + public void testQcow2DetectionL2Compressed16384DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-16384_cp-on_l2-on.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( true, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of compressed, 16384 byte cluster QCOW2 disk image without extended L2 tables" ) + public void testQcow2DetectionNonL2Compressed16384DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-16384_cp-on_l2-off.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( true, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of non-compressed, 16384 byte cluster QCOW2 disk image with extended L2 tables" ) + public void testQcow2DetectionL2NonCompressed16384DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-16384_cp-off_l2-on.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( false, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of non-compressed, 16384 byte cluster QCOW2 disk image without extended L2 tables" ) + public void testQcow2DetectionNonL2NonCompressed16384DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-16384_cp-off_l2-off.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( false, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of compressed, 65536 byte cluster QCOW2 disk image with extended L2 tables" ) + public void testQcow2DetectionL2Compressed65536DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-65536_cp-on_l2-on.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( true, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of compressed, 65536 byte cluster QCOW2 disk image without extended L2 tables" ) + public void testQcow2DetectionNonL2Compressed65536DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-65536_cp-on_l2-off.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( true, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of non-compressed, 65536 byte cluster QCOW2 disk image with extended L2 tables" ) + public void testQcow2DetectionL2NonCompressed65536DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-65536_cp-off_l2-on.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( false, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of non-compressed, 65536 byte cluster QCOW2 disk image without extended L2 tables" ) + public void testQcow2DetectionNonL2NonCompressed65536DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-65536_cp-off_l2-off.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( false, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of compressed, 2097152 byte cluster QCOW2 disk image with extended L2 tables" ) + public void testQcow2DetectionL2Compressed2097152DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-2097152_cp-on_l2-on.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( true, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of compressed, 2097152 byte cluster QCOW2 disk image without extended L2 tables" ) + public void testQcow2DetectionNonL2Compressed2097152DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-2097152_cp-on_l2-off.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( true, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of non-compressed, 2097152 byte cluster QCOW2 disk image with extended L2 tables" ) + public void testQcow2DetectionL2NonCompressed2097152DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-2097152_cp-off_l2-on.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( false, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test detection of non-compressed, 2097152 byte cluster QCOW2 disk image without extended L2 tables" ) + public void testQcow2DetectionNonL2NonCompressed2097152DiskImage() + throws FileNotFoundException, IOException, UnknownImageFormatException + { + DiskImage image = new DiskImage( DiskImageTestResources.getDiskFile( "image_cs-2097152_cp-off_l2-off.qcow2" ) ); + + assertEquals( ImageFormat.QCOW2.toString(), image.getImageFormat().toString() ); + assertEquals( true, image.isStandalone ); + assertEquals( false, image.isSnapshot ); + assertEquals( false, image.isCompressed ); + assertEquals( 3, image.hwVersion ); + assertNull( image.diskDescription ); + } + + @Test + @DisplayName( "Test of invalid disk image" ) + public void testInvalidDiskImage() throws FileNotFoundException, IOException, UnknownImageFormatException + { + Assertions.assertThrows( UnknownImageFormatException.class, () -> { + new DiskImage( DiskImageTestResources.getDiskFile( "image-default.invalid" ) ); + } ); + } +} diff --git a/src/test/java/org/openslx/util/vm/DiskImageTestResources.java b/src/test/java/org/openslx/util/vm/DiskImageTestResources.java new file mode 100644 index 0000000..1f164bd --- /dev/null +++ b/src/test/java/org/openslx/util/vm/DiskImageTestResources.java @@ -0,0 +1,16 @@ +package org.openslx.util.vm; + +import java.io.File; +import java.net.URL; + +public class DiskImageTestResources +{ + private static final String DISK_PREFIX_PATH = File.separator + "disk"; + + public static File getDiskFile( String diskFileName ) + { + String diskPath = DiskImageTestResources.DISK_PREFIX_PATH + File.separator + diskFileName; + URL disk = DiskImageTestResources.class.getResource( diskPath ); + return new File( disk.getFile() ); + } +} diff --git a/src/test/resources/disk/image-default.invalid b/src/test/resources/disk/image-default.invalid new file mode 100644 index 0000000..0402ef7 --- /dev/null +++ b/src/test/resources/disk/image-default.invalid @@ -0,0 +1 @@ +UUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU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