From f3e4a3c9bef9efcb262dbc3c57187d546afe906b Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E5=88=80=E5=93=A5?= <3523206925@qq.com> Date: Sun, 6 Aug 2023 18:45:05 +0800 Subject: [PATCH] feat: Basic entity move logic --- .../impl/attribute/BlockAttributes.java | 6 +- .../impl/base/EntityBaseComponent.java | 13 +- .../impl/base/EntityBaseComponentImpl.java | 20 +- .../java/cn/allay/api/math/Location3d.java | 7 + .../java/cn/allay/api/math/Position3d.java | 5 + .../main/java/cn/allay/api/world/World.java | 99 ++++++++ .../world/entity/EntityPhysicsService.java | 4 + .../entity/AllayEntityPhysicsService.java | 221 +++++++++++++++++- .../block/component/BlockAttributesTest.java | 15 +- Data/block_attributes.nbt | Bin 283246 -> 302576 bytes 10 files changed, 360 insertions(+), 30 deletions(-) diff --git a/Allay-API/src/main/java/cn/allay/api/block/component/impl/attribute/BlockAttributes.java b/Allay-API/src/main/java/cn/allay/api/block/component/impl/attribute/BlockAttributes.java index cdf235d64..fbe691e52 100644 --- a/Allay-API/src/main/java/cn/allay/api/block/component/impl/attribute/BlockAttributes.java +++ b/Allay-API/src/main/java/cn/allay/api/block/component/impl/attribute/BlockAttributes.java @@ -41,7 +41,9 @@ protected static AABBd parseAABBStr(String str) { return new AABBd(numbers.get(0), numbers.get(1), numbers.get(2), numbers.get(3), numbers.get(4), numbers.get(5)); } @Builder.Default - protected AABBdc aabb = new AABBd(0, 0, 0, 1, 1, 1); + protected AABBdc aabbCollision = new AABBd(0, 0, 0, 1, 1, 1); + @Builder.Default + protected boolean hasCollision = true; @Builder.Default protected boolean blocksPrecipitation = true; @Builder.Default @@ -118,7 +120,7 @@ public static BlockAttributes fromNBT(NbtMap nbt) { ); return BlockAttributes .builder() - .aabb(parseAABBStr(nbt.getString("aabb"))) + .aabbCollision(parseAABBStr(nbt.getString("aabbCollision"))) .blocksPrecipitation(nbt.getBoolean("blocksPrecipitation")) .canBeMovingBlock(nbt.getBoolean("canBeMovingBlock")) .breaksFallingBlocks(nbt.getBoolean("breaksFallingBlocks")) diff --git a/Allay-API/src/main/java/cn/allay/api/entity/component/impl/base/EntityBaseComponent.java b/Allay-API/src/main/java/cn/allay/api/entity/component/impl/base/EntityBaseComponent.java index 4477c56f5..6872be3e4 100644 --- a/Allay-API/src/main/java/cn/allay/api/entity/component/impl/base/EntityBaseComponent.java +++ b/Allay-API/src/main/java/cn/allay/api/entity/component/impl/base/EntityBaseComponent.java @@ -9,6 +9,7 @@ import org.cloudburstmc.protocol.bedrock.packet.BedrockPacket; import org.cloudburstmc.protocol.bedrock.packet.MoveEntityDeltaPacket; import org.jetbrains.annotations.UnmodifiableView; +import org.joml.Vector3d; import org.joml.Vector3dc; import org.joml.primitives.AABBd; import org.joml.primitives.AABBdc; @@ -54,16 +55,20 @@ public interface EntityBaseComponent { Map getViewers(); @Inject - Vector3dc getSpeed(); + Vector3dc getMotion(); @Inject - void setSpeed(Vector3dc speed); + void setMotion(Vector3dc motion); + + default void addMotion(Vector3dc add) { + setMotion(getMotion().add(add, new Vector3d())); + } @Inject - Vector3dc getMotion(); + boolean isOnGround(); @Inject - void setMotion(Vector3dc motion); + void setOnGround(boolean onGround); @Inject void spawnTo(Client client); diff --git a/Allay-API/src/main/java/cn/allay/api/entity/component/impl/base/EntityBaseComponentImpl.java b/Allay-API/src/main/java/cn/allay/api/entity/component/impl/base/EntityBaseComponentImpl.java index 9bb524fb1..9bf70d2cb 100644 --- a/Allay-API/src/main/java/cn/allay/api/entity/component/impl/base/EntityBaseComponentImpl.java +++ b/Allay-API/src/main/java/cn/allay/api/entity/component/impl/base/EntityBaseComponentImpl.java @@ -55,8 +55,8 @@ public class EntityBaseComponentImpl implements EntityBaseComp protected Function aabbGetter; protected boolean hasCollision = true; protected Map viewers = new Long2ObjectOpenHashMap<>(); - protected Vector3d speed = new Vector3d(); protected Vector3d motion = new Vector3d(); + protected boolean onGround = true; public EntityBaseComponentImpl(EntityInitInfo info, Function aabbGetter) { if (info.location().world() == null) @@ -199,26 +199,24 @@ public void setHasCollision(boolean hasCollision) { @Override @Impl - public Vector3dc getSpeed() { - return speed; + public Vector3dc getMotion() { + return motion; } @Override @Impl - public void setSpeed(Vector3dc speed) { - this.speed = new Vector3d(speed); + public void setMotion(Vector3dc motion) { + this.motion = new Vector3d(motion); } @Override - @Impl - public Vector3dc getMotion() { - return motion; + public boolean isOnGround() { + return onGround; } @Override - @Impl - public void setMotion(Vector3dc motion) { - this.motion = new Vector3d(motion); + public void setOnGround(boolean onGround) { + this.onGround = onGround; } @Override diff --git a/Allay-API/src/main/java/cn/allay/api/math/Location3d.java b/Allay-API/src/main/java/cn/allay/api/math/Location3d.java index e506930d2..53ade020c 100644 --- a/Allay-API/src/main/java/cn/allay/api/math/Location3d.java +++ b/Allay-API/src/main/java/cn/allay/api/math/Location3d.java @@ -22,6 +22,13 @@ public class Location3d extends Position3d implements Location3dc { public double yaw; public double headYaw; + public Location3d(Location3dc l) { + super(l); + this.pitch = l.pitch(); + this.yaw = l.yaw(); + this.headYaw = l.headYaw(); + } + public Location3d(double x, double y, double z, World world) { super(x, y, z, world); } diff --git a/Allay-API/src/main/java/cn/allay/api/math/Position3d.java b/Allay-API/src/main/java/cn/allay/api/math/Position3d.java index 9ba32041a..2cd9a7c63 100644 --- a/Allay-API/src/main/java/cn/allay/api/math/Position3d.java +++ b/Allay-API/src/main/java/cn/allay/api/math/Position3d.java @@ -21,6 +21,11 @@ public class Position3d extends Vector3d implements Position3dc { public World world; + public Position3d(Position3dc p) { + super(p); + this.world = p.world(); + } + public Position3d(World world) { super(); this.world = world; diff --git a/Allay-API/src/main/java/cn/allay/api/world/World.java b/Allay-API/src/main/java/cn/allay/api/world/World.java index bef036740..1bd7dee44 100644 --- a/Allay-API/src/main/java/cn/allay/api/world/World.java +++ b/Allay-API/src/main/java/cn/allay/api/world/World.java @@ -1,5 +1,6 @@ package cn.allay.api.world; +import cn.allay.api.block.type.BlockState; import cn.allay.api.entity.Entity; import cn.allay.api.math.Position3ic; import cn.allay.api.client.Client; @@ -11,9 +12,12 @@ import cn.allay.api.world.generator.WorldGenerator; import org.cloudburstmc.protocol.bedrock.data.GameType; import org.jetbrains.annotations.Nullable; +import org.jetbrains.annotations.Range; import org.jetbrains.annotations.UnmodifiableView; +import org.joml.primitives.AABBdc; import java.util.Collection; +import java.util.List; /** * Describe a world @@ -91,4 +95,99 @@ default int minChunkX() { default int minChunkZ() { return Integer.MIN_VALUE; } + + default void setBlockState(int x, int y, int z, BlockState state) { + setBlockState(x, y, z, state, false); + } + + default void setBlockState(int x, int y, int z, BlockState state, boolean layer) { + var chunk = getChunk(x >> 4, z >> 4); + if (chunk == null) return; + chunk.setBlockState(x & 15, y, z & 15, layer, state); + } + + @Nullable + default BlockState getBlockState(int x, int y, int z) { + return getBlockState(x, y, z, false); + } + + @Nullable + default BlockState getBlockState(int x, int y, int z, boolean layer) { + var chunk = getChunk(x >> 4, z >> 4); + if (chunk == null) return null; + return chunk.getBlockState(x & 15, y, z & 15, layer); + } + + default BlockState[][][] getBlockStates(int x, int y, int z, @Range(from = 1, to = Integer.MAX_VALUE) int sizeX, @Range(from = 1, to = Integer.MAX_VALUE) int sizeY, @Range(from = 1, to = Integer.MAX_VALUE) int sizeZ, boolean layer) { + BlockState[][][] blockStates = new BlockState[sizeX][sizeY][sizeZ]; + + int startX = x >> 4; + int endX = (x + sizeX - 1) >> 4; + int startZ = z >> 4; + int endZ = (z + sizeZ - 1) >> 4; + + for (int chunkX = startX; chunkX <= endX; chunkX++) { + for (int chunkZ = startZ; chunkZ <= endZ; chunkZ++) { + final int cX = chunkX << 4; + final int cZ = chunkZ << 4; + int localStartX = Math.max(x - cX, 0); + int localStartZ = Math.max(z - cZ, 0); + int localEndX = Math.min(x + sizeX - cX, 16); + int localEndZ = Math.min(z + sizeZ - cZ, 16); + + var chunk = getChunk(chunkX, chunkZ); + if (chunk != null) { + chunk.batchProcess( + sectionOperate -> { + for (int localX = localStartX; localX < localEndX; localX++) { + for (int globalY = y; globalY < y + sizeY; globalY++) { + for (int localZ = localStartZ; localZ < localEndZ; localZ++) { + int globalX = cX + localX; + int globalZ = cZ + localZ; + blockStates[globalX - x][globalY - y][globalZ - z] = + sectionOperate.getBlockState(localX, globalY, localZ, layer); + } + } + } + }, + null, + null + ); + } + } + } + + return blockStates; + } + + default BlockState[][][] getCollidingBlocks(AABBdc aabb) { + return getCollidingBlocks(aabb, false); + } + + default BlockState[][][] getCollidingBlocks(AABBdc aabb, boolean layer) { + return getCollidingBlocks(aabb, layer, false); + } + + default BlockState[][][] getCollidingBlocks(AABBdc aabb, boolean layer, boolean ignoreCollision) { + int maxX = (int) Math.ceil(aabb.maxX()); + int maxY = (int) Math.ceil(aabb.maxY()); + int maxZ = (int) Math.ceil(aabb.maxZ()); + int minX = (int) Math.floor(aabb.minX()); + int minY = (int) Math.floor(aabb.minY()); + int minZ = (int) Math.floor(aabb.minZ()); + var blockStates = getBlockStates(minX, minY, minZ, maxX - minX, maxY - minY, maxZ - minZ, layer); + if (!ignoreCollision) { + //过滤掉没有碰撞的方块 + for (int x = 0; x < blockStates.length; x++) { + for (int y = 0; y < blockStates[x].length; y++) { + for (int z = 0; z < blockStates[x][y].length; z++) { + var blockState = blockStates[x][y][z]; + if (blockState != null && !blockState.blockType().getBlockBehavior().getBlockAttributes(blockState).hasCollision()) { + blockStates[x][y][z] = null; + } + } + } + } + } + } } diff --git a/Allay-API/src/main/java/cn/allay/api/world/entity/EntityPhysicsService.java b/Allay-API/src/main/java/cn/allay/api/world/entity/EntityPhysicsService.java index 974cd9d1c..3b8a053f8 100644 --- a/Allay-API/src/main/java/cn/allay/api/world/entity/EntityPhysicsService.java +++ b/Allay-API/src/main/java/cn/allay/api/world/entity/EntityPhysicsService.java @@ -24,6 +24,10 @@ public interface EntityPhysicsService { boolean containEntity(Entity entity); + default void offerScheduledMove(Entity entity, Location3dc newLoc) { + offerScheduledMove(entity, newLoc, true); + } + void offerScheduledMove(Entity entity, Location3dc newLoc); default List computeCollidingEntities(Entity entity) { diff --git a/Allay-Server/src/main/java/cn/allay/server/world/entity/AllayEntityPhysicsService.java b/Allay-Server/src/main/java/cn/allay/server/world/entity/AllayEntityPhysicsService.java index f4aa6eb5a..6c3accb35 100644 --- a/Allay-Server/src/main/java/cn/allay/server/world/entity/AllayEntityPhysicsService.java +++ b/Allay-Server/src/main/java/cn/allay/server/world/entity/AllayEntityPhysicsService.java @@ -1,45 +1,252 @@ package cn.allay.server.world.entity; +import cn.allay.api.block.type.BlockState; import cn.allay.api.datastruct.aabbtree.AABBTree; import cn.allay.api.datastruct.collections.nb.Long2ObjectNonBlockingMap; import cn.allay.api.entity.Entity; +import cn.allay.api.math.Location3d; import cn.allay.api.math.Location3dc; +import cn.allay.api.world.World; import cn.allay.api.world.entity.EntityPhysicsService; import it.unimi.dsi.fastutil.objects.ObjectArrayList; import org.cloudburstmc.protocol.bedrock.packet.MoveEntityDeltaPacket; +import org.joml.Vector2d; +import org.joml.Vector3d; +import org.joml.Vector3dc; +import org.joml.primitives.AABBd; import org.joml.primitives.AABBdc; import java.util.*; import java.util.concurrent.ConcurrentLinkedQueue; /** - * Allay Project 2023/8/5 + * Allay Project 2023/8/5
+ * Special thanks to MCPK Wiki * * @author daoge_cmd */ public class AllayEntityPhysicsService implements EntityPhysicsService { - public static final double DIFF_POSITION_THRESHOLD = 0.0001; + public static final double DIFF_POSITION_THRESHOLD = 0.001; public static final double DIFF_ROTATION_THRESHOLD = 0.1; + public static final double MOTION_THRESHOLD = 0.003; + + protected World world; protected Map entities = new Long2ObjectNonBlockingMap<>(); protected Map> scheduledMoveQueue = new Long2ObjectNonBlockingMap<>(); protected Map> entityCollisionCache = new Long2ObjectNonBlockingMap<>(); protected AABBTree entityAABBTree = new AABBTree<>(); protected Queue entityUpdateOperationQueue = new ConcurrentLinkedQueue<>(); + public AllayEntityPhysicsService(World world) { + this.world = world; + } + @Override public void tick() { handleEntityUpdateQueue(); handleScheduledMoveQueue(); computeEntityCollision(); updateEntityMotion(); + moveEntity(); + simulateResistance(); } protected void updateEntityMotion() { } + protected void moveEntity() { + entities.values().parallelStream().forEach(this::applyMotion); + } + + protected void applyMotion(Entity entity) { + var pos = new Location3d(entity.getLocation()); + var motion = entity.getMotion(); + if (motion.equals(0, 0, 0)) return; + var mx = motion.x(); + var my = motion.y(); + var mz = motion.z(); + var aabb = new AABBd(entity.getOffsetAABB()); + + //先沿着Y轴移动 + my = moveYAxis(aabb, my, pos); + if (my == 0) { + //y没变化,触地了 + entity.setOnGround(true); + } else { + entity.setOnGround(false); + } + + if (Math.abs(mx) > Math.abs(mz)) { + //先处理X轴 + mx = moveXAxis(aabb, mx, pos); + //再处理Z轴 + mz = moveZAxis(aabb, mz, pos); + } else { + //先处理Z轴 + mz = moveZAxis(aabb, mz, pos); + //再处理X轴 + mx = moveXAxis(aabb, mx, pos); + } + + entity.setMotion(new Vector3d(mx, my, mz)); + updateEntityLocation(entity, pos); + } + + protected double moveZAxis(AABBd aabb, double mz, Vector3d pos) { + var extendZ = new AABBd(aabb); + //计算射线Z轴起点坐标 + double z; + if (mz < 0) { + //向Z轴负方向移动 + z = aabb.minZ; + extendZ.maxZ -= extendZ.lengthZ(); + extendZ.minZ += mz; + } else { + //向Z轴正方向移动 + z = aabb.maxZ; + extendZ.minZ += extendZ.lengthZ(); + extendZ.maxZ += mz; + } + var blocks = world.getCollidingBlocks(extendZ); + var deltaZ = mz; + if (blocks.length != 0) { + //存在碰撞 + //union为一个能将所有方块aabb包含的最小aabb + var union = unionBlockAABBs(blocks); + //result包含射线与union求交的两个交点的参数 + var result = new Vector2d(0, 0); + //计算射线XY轴起点坐标 + var x = (aabb.maxX + aabb.minX) / 2d; + var y = (aabb.maxY + aabb.minY) / 2d; + union.intersectsRay( + x, y, z, + 0, 0, mz, + result + ); + //计算Z轴坐标变化量 + deltaZ = mz * result.x; + //z轴方向速度归零 + mz = 0; + } + //移动碰撞箱 + aabb.translate(0, 0, deltaZ); + //更新坐标 + pos.z += deltaZ; + return mz; + } + + protected double moveXAxis(AABBd aabb, double mx, Vector3d pos) { + var extendX = new AABBd(aabb); + //计算射线X轴起点坐标 + double x; + if (mx < 0) { + //向X轴负方向移动 + x = aabb.minX; + extendX.maxX -= extendX.lengthX(); + extendX.minX += mx; + } else { + //向X轴正方向移动 + x = aabb.maxX; + extendX.minX += extendX.lengthX(); + extendX.maxX += mx; + } + var blocks = world.getCollidingBlocks(extendX); + var deltaX = mx; + if (blocks.length != 0) { + //存在碰撞 + //union为一个能将所有方块aabb包含的最小aabb + var union = unionBlockAABBs(blocks); + //result包含射线与union求交的两个交点的参数 + var result = new Vector2d(0, 0); + //计算射线YZ轴起点坐标 + var y = (aabb.maxY + aabb.minY) / 2d; + var z = (aabb.maxZ + aabb.minZ) / 2d; + union.intersectsRay( + x, y, z, + mx, 0, 0, + result + ); + //计算X轴坐标变化量 + deltaX = mx * result.x; + //x轴方向速度归零 + mx = 0; + } + //移动碰撞箱 + aabb.translate(deltaX, 0, 0); + //更新坐标 + pos.x += deltaX; + return mx; + } + + protected double moveYAxis(AABBd aabb, double my, Vector3d pos) { + AABBd extendY = new AABBd(aabb); + //计算射线Y轴起点坐标 + double y; + //检查范围不包括实体aabb + if (my < 0) { + //向下移动 + y = aabb.minY; + extendY.maxY -= extendY.lengthY(); + extendY.minY += my; + } else { + //向上移动 + y = aabb.maxY; + extendY.minY += extendY.lengthY(); + extendY.maxY += my; + } + var blocks = world.getCollidingBlocks(extendY); + var deltaY = my; + if (blocks.length != 0) { + //存在碰撞 + //union为一个能将所有方块aabb包含的最小aabb + var union = unionBlockAABBs(blocks); + //result包含射线与union求交的两个交点的参数 + var result = new Vector2d(0, 0); + //计算射线XZ轴起点坐标 + var x = (aabb.maxX + aabb.minX) / 2d; + var z = (aabb.maxZ + aabb.minZ) / 2d; + union.intersectsRay( + x, y, z, + 0, my, 0, + result + ); + //计算Y轴坐标变化量 + deltaY = my * result.x; + //y轴方向速度归零 + my = 0; + } + //移动碰撞箱 + aabb.translate(0, deltaY, 0); + //更新坐标 + pos.y += deltaY; + return my; + } + + protected AABBd unionBlockAABBs(BlockState[][][] blocks) { + AABBd unionAABB = null; + for (var sub1 : blocks) { + for (var sub2 : sub1) { + for (var block : sub2) { + if (block == null) continue; + var blockAABB = block.blockType().getBlockBehavior().getBlockAttributes(block).aabbCollision(); + if (unionAABB == null) { + unionAABB = new AABBd(); + } else { + unionAABB.union(blockAABB); + } + } + } + } + return unionAABB; + } + + protected void simulateResistance() { + + } + protected void computeEntityCollision() { entities.values().parallelStream().forEach(entity -> { var result = new ObjectArrayList(); @@ -53,10 +260,7 @@ protected void handleScheduledMoveQueue() { var queue = entry.getValue(); while (!queue.isEmpty()) { var scheduledMove = queue.poll(); - var entity = scheduledMove.entity; - var newLoc = scheduledMove.newLoc; - entity.broadcastMoveToViewers(computeMoveFlags(entity, entity.getLocation(), newLoc), newLoc); - entity.setLocation(newLoc); + updateEntityLocation(scheduledMove.entity, scheduledMove.newLoc); } } } @@ -80,6 +284,11 @@ protected void handleEntityUpdateQueue() { } } + protected void updateEntityLocation(Entity entity, Location3dc newLoc) { + entity.broadcastMoveToViewers(computeMoveFlags(entity, entity.getLocation(), newLoc), newLoc); + entity.setLocation(newLoc); + } + protected Set computeMoveFlags(Entity entity, Location3dc oldLoc, Location3dc newLoc) { var flags = EnumSet.noneOf(MoveEntityDeltaPacket.Flag.class); if (Math.abs(oldLoc.x() - newLoc.x()) > DIFF_POSITION_THRESHOLD) flags.add(MoveEntityDeltaPacket.Flag.HAS_X); diff --git a/Allay-Server/src/test/java/cn/allay/server/block/component/BlockAttributesTest.java b/Allay-Server/src/test/java/cn/allay/server/block/component/BlockAttributesTest.java index 6eb5a8cbb..565f7d54b 100644 --- a/Allay-Server/src/test/java/cn/allay/server/block/component/BlockAttributesTest.java +++ b/Allay-Server/src/test/java/cn/allay/server/block/component/BlockAttributesTest.java @@ -24,7 +24,7 @@ class BlockAttributesTest { private static final String json = """ { - "aabb": "0.0005,0.0005,0.0005,0.9995,0.1825,0.9995", + "aabbCollision": "0.0005,0.0005,0.0005,0.9995,0.1825,0.9995", "canBeMovingBlock": true, "blocksPrecipitation": true, "breaksFallingBlocks": true, @@ -45,6 +45,7 @@ class BlockAttributesTest { "hardness": 3, "hasBlockEntity": false, "hasComparatorSignal": false, + "hasCollision": true, "name": "minecraft:trapdoor", "isAlwaysDestroyable": true, "isContainerBlock": false, @@ -70,12 +71,12 @@ class BlockAttributesTest { void testDeserialization() { var blockAttributes = BlockAttributes.fromJson(json); //Check all the values - assertEquals(Double.toHexString(0.0005), Double.toHexString(blockAttributes.aabb().minX())); - assertEquals(Double.toHexString(0.0005), Double.toHexString(blockAttributes.aabb().minY())); - assertEquals(Double.toHexString(0.0005), Double.toHexString(blockAttributes.aabb().minZ())); - assertEquals(Double.toHexString(0.9995), Double.toHexString(blockAttributes.aabb().maxX())); - assertEquals(Double.toHexString(0.1825), Double.toHexString(blockAttributes.aabb().maxY())); - assertEquals(Double.toHexString(0.9995), Double.toHexString(blockAttributes.aabb().maxZ())); + assertEquals(Double.toHexString(0.0005), Double.toHexString(blockAttributes.aabbCollision().minX())); + assertEquals(Double.toHexString(0.0005), Double.toHexString(blockAttributes.aabbCollision().minY())); + assertEquals(Double.toHexString(0.0005), Double.toHexString(blockAttributes.aabbCollision().minZ())); + assertEquals(Double.toHexString(0.9995), Double.toHexString(blockAttributes.aabbCollision().maxX())); + assertEquals(Double.toHexString(0.1825), Double.toHexString(blockAttributes.aabbCollision().maxY())); + assertEquals(Double.toHexString(0.9995), Double.toHexString(blockAttributes.aabbCollision().maxZ())); assertTrue(blockAttributes.canBeMovingBlock()); assertTrue(blockAttributes.blocksPrecipitation()); assertTrue(blockAttributes.breaksFallingBlocks()); diff --git a/Data/block_attributes.nbt b/Data/block_attributes.nbt index abb0b7ccccc59414451f52d3cbd12707d475e1ba..2a18c0f194e917406cf73a36b5fd6360286b4ff4 100644 GIT binary patch literal 302576 zcmZ5o1yEI8v?e74X;En;q)R##0cmOJ25F@`1VyB|bgF=Km$Y<)N=r+3cfE7>{pZcR z_s{$@o_*I|@vXJ@`PSi_O%;lX1pf~Odus;6n|SmQ`rZsNCO!J|yNzzoJ-?EwNZ^ya 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