From 6a4aea77fb29f994f415256830786df11c35a93b Mon Sep 17 00:00:00 2001
From: akwizgran <akwizgran@users.sourceforge.net>
Date: Fri, 1 Jan 2016 14:53:54 +0000
Subject: [PATCH] Final crypto changes for BTPv2. #111

Use BLAKE2s to generate tags.
KDF arguments for key rotation.
Frame IV format.
---
 .../api/transport/TransportConstants.java     | 11 ++--
 .../crypto/CryptoComponentImpl.java           | 64 ++++++++++---------
 .../org/briarproject/crypto/FrameEncoder.java | 21 +++---
 .../crypto/StreamDecrypterImpl.java           |  7 +-
 .../crypto/StreamEncrypterImpl.java           | 22 +++----
 .../src/org/briarproject/util/ByteUtils.java  | 13 ++++
 .../org/briarproject/util/ByteUtilsTest.java  | 35 +++++++---
 7 files changed, 103 insertions(+), 70 deletions(-)

diff --git a/briar-api/src/org/briarproject/api/transport/TransportConstants.java b/briar-api/src/org/briarproject/api/transport/TransportConstants.java
index ae3a6c3daf..defd164982 100644
--- a/briar-api/src/org/briarproject/api/transport/TransportConstants.java
+++ b/briar-api/src/org/briarproject/api/transport/TransportConstants.java
@@ -8,12 +8,12 @@ public interface TransportConstants {
 	/** The length of the pseudo-random tag in bytes. */
 	int TAG_LENGTH = 16;
 
-	/** The length of the stream header IV in bytes. */
-	int STREAM_HEADER_IV_LENGTH = 24;
-
 	/** The length of the message authentication code (MAC) in bytes. */
 	int MAC_LENGTH = 16;
 
+	/** The length of the stream header initialisation vector (IV) in bytes. */
+	int STREAM_HEADER_IV_LENGTH = 24;
+
 	/** The length of the stream header in bytes. */
 	int STREAM_HEADER_LENGTH = STREAM_HEADER_IV_LENGTH + SecretKey.LENGTH
 			+ MAC_LENGTH;
@@ -21,8 +21,11 @@ public interface TransportConstants {
 	/** The length of the frame initalisation vector (IV) in bytes. */
 	int FRAME_IV_LENGTH = 24;
 
+	/** The length of the frame header payload in bytes. */
+	int FRAME_HEADER_PAYLOAD_LENGTH = 4;
+
 	/** The length of the frame header in bytes. */
-	int FRAME_HEADER_LENGTH = 4 + MAC_LENGTH;
+	int FRAME_HEADER_LENGTH = FRAME_HEADER_PAYLOAD_LENGTH + MAC_LENGTH;
 
 	/** The maximum length of a frame in bytes, including the header and MAC. */
 	int MAX_FRAME_LENGTH = 1024;
diff --git a/briar-core/src/org/briarproject/crypto/CryptoComponentImpl.java b/briar-core/src/org/briarproject/crypto/CryptoComponentImpl.java
index 9735016993..c4cde4aea3 100644
--- a/briar-core/src/org/briarproject/crypto/CryptoComponentImpl.java
+++ b/briar-core/src/org/briarproject/crypto/CryptoComponentImpl.java
@@ -17,12 +17,10 @@ import org.briarproject.api.transport.TransportKeys;
 import org.briarproject.util.ByteUtils;
 import org.briarproject.util.StringUtils;
 import org.spongycastle.crypto.AsymmetricCipherKeyPair;
-import org.spongycastle.crypto.BlockCipher;
 import org.spongycastle.crypto.CipherParameters;
 import org.spongycastle.crypto.Digest;
 import org.spongycastle.crypto.agreement.ECDHCBasicAgreement;
 import org.spongycastle.crypto.digests.SHA256Digest;
-import org.spongycastle.crypto.engines.AESLightEngine;
 import org.spongycastle.crypto.generators.ECKeyPairGenerator;
 import org.spongycastle.crypto.generators.PKCS5S2ParametersGenerator;
 import org.spongycastle.crypto.params.ECKeyGenerationParameters;
@@ -30,6 +28,7 @@ import org.spongycastle.crypto.params.ECPrivateKeyParameters;
 import org.spongycastle.crypto.params.ECPublicKeyParameters;
 import org.spongycastle.crypto.params.KeyParameter;
 
+import java.nio.charset.Charset;
 import java.security.GeneralSecurityException;
 import java.security.SecureRandom;
 import java.util.ArrayList;
@@ -57,33 +56,31 @@ class CryptoComponentImpl implements CryptoComponent {
 	private static final int PBKDF_TARGET_MILLIS = 500;
 	private static final int PBKDF_SAMPLES = 30;
 
+	private static byte[] ascii(String s) {
+		return s.getBytes(Charset.forName("US-ASCII"));
+	}
+
 	// KDF label for master key derivation
-	private static final byte[] MASTER = { 'M', 'A', 'S', 'T', 'E', 'R' };
+	private static final byte[] MASTER = ascii("MASTER");
 	// KDF labels for confirmation code derivation
-	private static final byte[] A_CONFIRM =
-			{ 'A', '_', 'C', 'O', 'N', 'F', 'I', 'R', 'M' };
-	private static final byte[] B_CONFIRM =
-			{ 'B', '_', 'C', 'O', 'N', 'F', 'I', 'R', 'M' };
+	private static final byte[] A_CONFIRM = ascii("ALICE_CONFIRMATION_CODE");
+	private static final byte[] B_CONFIRM = ascii("BOB_CONFIRMATION_CODE");
 	// KDF labels for invitation stream header key derivation
-	private static final byte[] A_INVITE =
-			{ 'A', '_', 'I', 'N', 'V', 'I', 'T', 'E' };
-	private static final byte[] B_INVITE =
-			{ 'B', '_', 'I', 'N', 'V', 'I', 'T', 'E' };
+	private static final byte[] A_INVITE = ascii("ALICE_INVITATION_KEY");
+	private static final byte[] B_INVITE = ascii("BOB_INVITATION_KEY");
 	// KDF labels for signature nonce derivation
-	private static final byte[] A_NONCE = { 'A', '_', 'N', 'O', 'N', 'C', 'E' };
-	private static final byte[] B_NONCE = { 'B', '_', 'N', 'O', 'N', 'C', 'E' };
+	private static final byte[] A_NONCE = ascii("ALICE_SIGNATURE_NONCE");
+	private static final byte[] B_NONCE = ascii("BOB_SIGNATURE_NONCE");
 	// KDF label for group salt derivation
-	private static final byte[] SALT = { 'S', 'A', 'L', 'T' };
+	private static final byte[] SALT = ascii("SALT");
 	// KDF labels for tag key derivation
-	private static final byte[] A_TAG = { 'A', '_', 'T', 'A', 'G' };
-	private static final byte[] B_TAG = { 'B', '_', 'T', 'A', 'G' };
+	private static final byte[] A_TAG = ascii("ALICE_TAG_KEY");
+	private static final byte[] B_TAG = ascii("BOB_TAG_KEY");
 	// KDF labels for header key derivation
-	private static final byte[] A_HEADER =
-			{ 'A', '_', 'H', 'E', 'A', 'D', 'E', 'R' };
-	private static final byte[] B_HEADER =
-			{ 'B', '_', 'H', 'E', 'A', 'D', 'E', 'R' };
+	private static final byte[] A_HEADER = ascii("ALICE_HEADER_KEY");
+	private static final byte[] B_HEADER = ascii("BOB_HEADER_KEY");
 	// KDF label for key rotation
-	private static final byte[] ROTATE = { 'R', 'O', 'T', 'A', 'T', 'E' };
+	private static final byte[] ROTATE = ascii("ROTATE");
 
 	private final SecureRandom secureRandom;
 	private final ECKeyPairGenerator agreementKeyPairGenerator;
@@ -290,8 +287,8 @@ class CryptoComponentImpl implements CryptoComponent {
 	}
 
 	private SecretKey rotateKey(SecretKey k, long rotationPeriod) {
-		byte[] period = new byte[4];
-		ByteUtils.writeUint32(rotationPeriod, period, 0);
+		byte[] period = new byte[8];
+		ByteUtils.writeUint64(rotationPeriod, period, 0);
 		return new SecretKey(macKdf(k, ROTATE, period));
 	}
 
@@ -311,14 +308,19 @@ class CryptoComponentImpl implements CryptoComponent {
 		if (tag.length < TAG_LENGTH) throw new IllegalArgumentException();
 		if (streamNumber < 0 || streamNumber > MAX_32_BIT_UNSIGNED)
 			throw new IllegalArgumentException();
-		for (int i = 0; i < TAG_LENGTH; i++) tag[i] = 0;
-		ByteUtils.writeUint32(streamNumber, tag, 0);
-		BlockCipher cipher = new AESLightEngine();
-		if (cipher.getBlockSize() != TAG_LENGTH)
-			throw new IllegalStateException();
-		KeyParameter k = new KeyParameter(tagKey.getBytes());
-		cipher.init(true, k);
-		cipher.processBlock(tag, 0, tag, 0);
+		// Initialise the PRF
+		Digest prf = new Blake2sDigest(tagKey.getBytes());
+		// The output of the PRF must be long enough to use as a key
+		int macLength = prf.getDigestSize();
+		if (macLength < TAG_LENGTH) throw new IllegalStateException();
+		// The input is the stream number as a 64-bit integer
+		byte[] input = new byte[8];
+		ByteUtils.writeUint64(streamNumber, input, 0);
+		prf.update(input, 0, input.length);
+		byte[] mac = new byte[macLength];
+		prf.doFinal(mac, 0);
+		// The output is the first TAG_LENGTH bytes of the MAC
+		System.arraycopy(mac, 0, tag, 0, TAG_LENGTH);
 	}
 
 	public byte[] encryptWithPassword(byte[] input, String password) {
diff --git a/briar-core/src/org/briarproject/crypto/FrameEncoder.java b/briar-core/src/org/briarproject/crypto/FrameEncoder.java
index efd03ed49b..c2fb78f848 100644
--- a/briar-core/src/org/briarproject/crypto/FrameEncoder.java
+++ b/briar-core/src/org/briarproject/crypto/FrameEncoder.java
@@ -2,26 +2,23 @@ package org.briarproject.crypto;
 
 import org.briarproject.util.ByteUtils;
 
-import static org.briarproject.api.transport.TransportConstants.FRAME_HEADER_LENGTH;
+import static org.briarproject.api.transport.TransportConstants.FRAME_HEADER_PAYLOAD_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.FRAME_IV_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.MAX_PAYLOAD_LENGTH;
-import static org.briarproject.util.ByteUtils.MAX_32_BIT_UNSIGNED;
 
 class FrameEncoder {
 
 	static void encodeIv(byte[] iv, long frameNumber, boolean header) {
 		if (iv.length < FRAME_IV_LENGTH) throw new IllegalArgumentException();
-		if (frameNumber < 0 || frameNumber > MAX_32_BIT_UNSIGNED)
-			throw new IllegalArgumentException();
-		ByteUtils.writeUint32(frameNumber, iv, 0);
-		if (header) iv[4] = 1;
-		else iv[4] = 0;
-		for (int i = 5; i < FRAME_IV_LENGTH; i++) iv[i] = 0;
+		if (frameNumber < 0) throw new IllegalArgumentException();
+		ByteUtils.writeUint64(frameNumber, iv, 0);
+		if (header) iv[0] |= 0x80;
+		for (int i = 8; i < FRAME_IV_LENGTH; i++) iv[i] = 0;
 	}
 
 	static void encodeHeader(byte[] header, boolean finalFrame,
 			int payloadLength, int paddingLength) {
-		if (header.length < FRAME_HEADER_LENGTH)
+		if (header.length < FRAME_HEADER_PAYLOAD_LENGTH)
 			throw new IllegalArgumentException();
 		if (payloadLength < 0) throw new IllegalArgumentException();
 		if (paddingLength < 0) throw new IllegalArgumentException();
@@ -33,19 +30,19 @@ class FrameEncoder {
 	}
 
 	static boolean isFinalFrame(byte[] header) {
-		if (header.length < FRAME_HEADER_LENGTH)
+		if (header.length < FRAME_HEADER_PAYLOAD_LENGTH)
 			throw new IllegalArgumentException();
 		return (header[0] & 0x80) == 0x80;
 	}
 
 	static int getPayloadLength(byte[] header) {
-		if (header.length < FRAME_HEADER_LENGTH)
+		if (header.length < FRAME_HEADER_PAYLOAD_LENGTH)
 			throw new IllegalArgumentException();
 		return ByteUtils.readUint16(header, 0) & 0x7FFF;
 	}
 
 	static int getPaddingLength(byte[] header) {
-		if (header.length < FRAME_HEADER_LENGTH)
+		if (header.length < FRAME_HEADER_PAYLOAD_LENGTH)
 			throw new IllegalArgumentException();
 		return ByteUtils.readUint16(header, 2);
 	}
diff --git a/briar-core/src/org/briarproject/crypto/StreamDecrypterImpl.java b/briar-core/src/org/briarproject/crypto/StreamDecrypterImpl.java
index 89e18bee61..5c041ba4d6 100644
--- a/briar-core/src/org/briarproject/crypto/StreamDecrypterImpl.java
+++ b/briar-core/src/org/briarproject/crypto/StreamDecrypterImpl.java
@@ -10,6 +10,7 @@ import java.io.InputStream;
 import java.security.GeneralSecurityException;
 
 import static org.briarproject.api.transport.TransportConstants.FRAME_HEADER_LENGTH;
+import static org.briarproject.api.transport.TransportConstants.FRAME_HEADER_PAYLOAD_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.FRAME_IV_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.MAC_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.MAX_FRAME_LENGTH;
@@ -34,7 +35,7 @@ class StreamDecrypterImpl implements StreamDecrypter {
 		this.cipher = cipher;
 		this.streamHeaderKey = streamHeaderKey;
 		frameIv = new byte[FRAME_IV_LENGTH];
-		frameHeader = new byte[FRAME_HEADER_LENGTH];
+		frameHeader = new byte[FRAME_HEADER_PAYLOAD_LENGTH];
 		frameCiphertext = new byte[MAX_FRAME_LENGTH];
 		frameKey = null;
 		frameNumber = 0;
@@ -46,6 +47,8 @@ class StreamDecrypterImpl implements StreamDecrypter {
 		if (payload.length < MAX_PAYLOAD_LENGTH)
 			throw new IllegalArgumentException();
 		if (finalFrame) return -1;
+		// Don't allow the frame counter to wrap
+		if (frameNumber < 0) throw new IOException();
 		// Read the stream header if required
 		if (frameKey == null) readStreamHeader();
 		// Read the frame header
@@ -62,7 +65,7 @@ class StreamDecrypterImpl implements StreamDecrypter {
 			cipher.init(false, frameKey, frameIv);
 			int decrypted = cipher.process(frameCiphertext, 0,
 					FRAME_HEADER_LENGTH, frameHeader, 0);
-			if (decrypted != FRAME_HEADER_LENGTH - MAC_LENGTH)
+			if (decrypted != FRAME_HEADER_PAYLOAD_LENGTH)
 				throw new RuntimeException();
 		} catch (GeneralSecurityException e) {
 			throw new FormatException();
diff --git a/briar-core/src/org/briarproject/crypto/StreamEncrypterImpl.java b/briar-core/src/org/briarproject/crypto/StreamEncrypterImpl.java
index 988be7e029..0dbd8a1766 100644
--- a/briar-core/src/org/briarproject/crypto/StreamEncrypterImpl.java
+++ b/briar-core/src/org/briarproject/crypto/StreamEncrypterImpl.java
@@ -8,13 +8,13 @@ import java.io.OutputStream;
 import java.security.GeneralSecurityException;
 
 import static org.briarproject.api.transport.TransportConstants.FRAME_HEADER_LENGTH;
+import static org.briarproject.api.transport.TransportConstants.FRAME_HEADER_PAYLOAD_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.FRAME_IV_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.MAC_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.MAX_FRAME_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.MAX_PAYLOAD_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.STREAM_HEADER_IV_LENGTH;
 import static org.briarproject.api.transport.TransportConstants.STREAM_HEADER_LENGTH;
-import static org.briarproject.util.ByteUtils.MAX_32_BIT_UNSIGNED;
 
 class StreamEncrypterImpl implements StreamEncrypter {
 
@@ -22,7 +22,7 @@ class StreamEncrypterImpl implements StreamEncrypter {
 	private final AuthenticatedCipher cipher;
 	private final SecretKey streamHeaderKey, frameKey;
 	private final byte[] tag, streamHeaderIv;
-	private final byte[] frameIv, framePlaintext, frameCiphertext;
+	private final byte[] frameIv, frameHeader, framePlaintext, frameCiphertext;
 
 	private long frameNumber;
 	private boolean writeTag, writeStreamHeader;
@@ -37,7 +37,8 @@ class StreamEncrypterImpl implements StreamEncrypter {
 		this.streamHeaderKey = streamHeaderKey;
 		this.frameKey = frameKey;
 		frameIv = new byte[FRAME_IV_LENGTH];
-		framePlaintext = new byte[FRAME_HEADER_LENGTH + MAX_PAYLOAD_LENGTH];
+		frameHeader = new byte[FRAME_HEADER_PAYLOAD_LENGTH];
+		framePlaintext = new byte[MAX_PAYLOAD_LENGTH];
 		frameCiphertext = new byte[MAX_FRAME_LENGTH];
 		frameNumber = 0;
 		writeTag = (tag != null);
@@ -49,34 +50,33 @@ class StreamEncrypterImpl implements StreamEncrypter {
 		if (payloadLength + paddingLength > MAX_PAYLOAD_LENGTH)
 			throw new IllegalArgumentException();
 		// Don't allow the frame counter to wrap
-		if (frameNumber > MAX_32_BIT_UNSIGNED) throw new IOException();
+		if (frameNumber < 0) throw new IOException();
 		// Write the tag if required
 		if (writeTag) writeTag();
 		// Write the stream header if required
 		if (writeStreamHeader) writeStreamHeader();
 		// Encode the frame header
-		FrameEncoder.encodeHeader(framePlaintext, finalFrame, payloadLength,
+		FrameEncoder.encodeHeader(frameHeader, finalFrame, payloadLength,
 				paddingLength);
 		// Encrypt and authenticate the frame header
 		FrameEncoder.encodeIv(frameIv, frameNumber, true);
 		try {
 			cipher.init(true, frameKey, frameIv);
-			int encrypted = cipher.process(framePlaintext, 0,
-					FRAME_HEADER_LENGTH - MAC_LENGTH, frameCiphertext, 0);
+			int encrypted = cipher.process(frameHeader, 0,
+					FRAME_HEADER_PAYLOAD_LENGTH, frameCiphertext, 0);
 			if (encrypted != FRAME_HEADER_LENGTH) throw new RuntimeException();
 		} catch (GeneralSecurityException badCipher) {
 			throw new RuntimeException(badCipher);
 		}
 		// Combine the payload and padding
-		System.arraycopy(payload, 0, framePlaintext, FRAME_HEADER_LENGTH,
-				payloadLength);
+		System.arraycopy(payload, 0, framePlaintext, 0, payloadLength);
 		for (int i = 0; i < paddingLength; i++)
-			framePlaintext[FRAME_HEADER_LENGTH + payloadLength + i] = 0;
+			framePlaintext[payloadLength + i] = 0;
 		// Encrypt and authenticate the payload and padding
 		FrameEncoder.encodeIv(frameIv, frameNumber, false);
 		try {
 			cipher.init(true, frameKey, frameIv);
-			int encrypted = cipher.process(framePlaintext, FRAME_HEADER_LENGTH,
+			int encrypted = cipher.process(framePlaintext, 0,
 					payloadLength + paddingLength, frameCiphertext,
 					FRAME_HEADER_LENGTH);
 			if (encrypted != payloadLength + paddingLength + MAC_LENGTH)
diff --git a/briar-core/src/org/briarproject/util/ByteUtils.java b/briar-core/src/org/briarproject/util/ByteUtils.java
index 777d823189..6f47e00146 100644
--- a/briar-core/src/org/briarproject/util/ByteUtils.java
+++ b/briar-core/src/org/briarproject/util/ByteUtils.java
@@ -37,6 +37,19 @@ public class ByteUtils {
 		b[offset + 3] = (byte) (i & 0xFF);
 	}
 
+	public static void writeUint64(long i, byte[] b, int offset) {
+		if (i < 0) throw new IllegalArgumentException();
+		if (b.length < offset + 8) throw new IllegalArgumentException();
+		b[offset] = (byte) (i >> 56);
+		b[offset + 1] = (byte) (i >> 48 & 0xFF);
+		b[offset + 2] = (byte) (i >> 40 & 0xFF);
+		b[offset + 3] = (byte) (i >> 32 & 0xFF);
+		b[offset + 4] = (byte) (i >> 24 & 0xFF);
+		b[offset + 5] = (byte) (i >> 16 & 0xFF);
+		b[offset + 6] = (byte) (i >> 8 & 0xFF);
+		b[offset + 7] = (byte) (i & 0xFF);
+	}
+
 	public static int readUint16(byte[] b, int offset) {
 		if (b.length < offset + 2) throw new IllegalArgumentException();
 		return ((b[offset] & 0xFF) << 8) | (b[offset + 1] & 0xFF);
diff --git a/briar-tests/src/org/briarproject/util/ByteUtilsTest.java b/briar-tests/src/org/briarproject/util/ByteUtilsTest.java
index 0df6548bd6..67ad3fe1a7 100644
--- a/briar-tests/src/org/briarproject/util/ByteUtilsTest.java
+++ b/briar-tests/src/org/briarproject/util/ByteUtilsTest.java
@@ -30,24 +30,39 @@ public class ByteUtilsTest extends BriarTestCase {
 
 	@Test
 	public void testWriteUint16() {
-		byte[] b = new byte[3];
+		byte[] b = new byte[4];
 		ByteUtils.writeUint16(0, b, 1);
-		assertEquals("000000", StringUtils.toHexString(b));
+		assertEquals("00000000", StringUtils.toHexString(b));
 		ByteUtils.writeUint16(1, b, 1);
-		assertEquals("000001", StringUtils.toHexString(b));
-		ByteUtils.writeUint16(65535, b, 1);
-		assertEquals("00FFFF", StringUtils.toHexString(b));
+		assertEquals("00000100", StringUtils.toHexString(b));
+		ByteUtils.writeUint16(Short.MAX_VALUE, b, 1);
+		assertEquals("007FFF00", StringUtils.toHexString(b));
+		ByteUtils.writeUint16(ByteUtils.MAX_16_BIT_UNSIGNED, b, 1);
+		assertEquals("00FFFF00", StringUtils.toHexString(b));
 	}
 
 	@Test
 	public void testWriteUint32() {
-		byte[] b = new byte[5];
+		byte[] b = new byte[6];
 		ByteUtils.writeUint32(0, b, 1);
-		assertEquals("0000000000", StringUtils.toHexString(b));
+		assertEquals("000000000000", StringUtils.toHexString(b));
 		ByteUtils.writeUint32(1, b, 1);
-		assertEquals("0000000001", StringUtils.toHexString(b));
-		ByteUtils.writeUint32(4294967295L, b, 1);
-		assertEquals("00FFFFFFFF", StringUtils.toHexString(b));
+		assertEquals("000000000100", StringUtils.toHexString(b));
+		ByteUtils.writeUint32(Integer.MAX_VALUE, b, 1);
+		assertEquals("007FFFFFFF00", StringUtils.toHexString(b));
+		ByteUtils.writeUint32(ByteUtils.MAX_32_BIT_UNSIGNED, b, 1);
+		assertEquals("00FFFFFFFF00", StringUtils.toHexString(b));
+	}
+
+	@Test
+	public void testWriteUint64() {
+		byte[] b = new byte[10];
+		ByteUtils.writeUint64(0, b, 1);
+		assertEquals("00000000000000000000", StringUtils.toHexString(b));
+		ByteUtils.writeUint64(1, b, 1);
+		assertEquals("00000000000000000100", StringUtils.toHexString(b));
+		ByteUtils.writeUint64(Long.MAX_VALUE, b, 1);
+		assertEquals("007FFFFFFFFFFFFFFF00", StringUtils.toHexString(b));
 	}
 
 	@Test
-- 
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