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	Merge pull request #21 from aldot/doc-tweaks
documentation touch up, take 2
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							| @@ -27,16 +27,17 @@ cheap, and can be very granular. For NOR flash specifically, byte-level | ||||
| programs are quite common. Erasing, however, requires an expensive operation | ||||
| that forces the state of large blocks of memory to reset in a destructive | ||||
| reaction that gives flash its name. The [Wikipedia entry](https://en.wikipedia.org/wiki/Flash_memory) | ||||
| has more information if you are interesting in how this works. | ||||
| has more information if you are interested in how this works. | ||||
|  | ||||
| This leaves us with an interesting set of limitations that can be simplified | ||||
| to three strong requirements: | ||||
|  | ||||
| 1. **Power-loss resilient** - This is the main goal of the littlefs and the | ||||
|    focus of this project. Embedded systems are usually designed without a | ||||
|    shutdown routine and a notable lack of user interface for recovery, so | ||||
|    filesystems targeting embedded systems must be prepared to lose power an | ||||
|    any given time. | ||||
|    focus of this project. | ||||
|  | ||||
|    Embedded systems are usually designed without a shutdown routine and a | ||||
|    notable lack of user interface for recovery, so filesystems targeting | ||||
|    embedded systems must be prepared to lose power at any given time. | ||||
|  | ||||
|    Despite this state of things, there are very few embedded filesystems that | ||||
|    handle power loss in a reasonable manner, and most can become corrupted if | ||||
| @@ -52,7 +53,8 @@ to three strong requirements: | ||||
|    which stores a file allocation table (FAT) at a specific offset from the | ||||
|    beginning of disk. Every block allocation will update this table, and after | ||||
|    100,000 updates, the block will likely go bad, rendering the filesystem | ||||
|    unusable even if there are many more erase cycles available on the storage. | ||||
|    unusable even if there are many more erase cycles available on the storage | ||||
|    as a whole. | ||||
|  | ||||
| 3. **Bounded RAM/ROM** - Even with the design difficulties presented by the | ||||
|    previous two limitations, we have already seen several flash filesystems | ||||
| @@ -72,7 +74,7 @@ to three strong requirements: | ||||
|  | ||||
| ## Existing designs? | ||||
|  | ||||
| There are of course, many different existing filesystem. Heres a very rough | ||||
| There are of course, many different existing filesystem. Here is a very rough | ||||
| summary of the general ideas behind some of them. | ||||
|  | ||||
| Most of the existing filesystems fall into the one big category of filesystem | ||||
| @@ -80,21 +82,21 @@ designed in the early days of spinny magnet disks. While there is a vast amount | ||||
| of interesting technology and ideas in this area, the nature of spinny magnet | ||||
| disks encourage properties, such as grouping writes near each other, that don't | ||||
| make as much sense on recent storage types. For instance, on flash, write | ||||
| locality is not important and can actually increase wear destructively. | ||||
| locality is not important and can actually increase wear. | ||||
|  | ||||
| One of the most popular designs for flash filesystems is called the | ||||
| [logging filesystem](https://en.wikipedia.org/wiki/Log-structured_file_system). | ||||
| The flash filesystems [jffs](https://en.wikipedia.org/wiki/JFFS) | ||||
| and [yaffs](https://en.wikipedia.org/wiki/YAFFS) are good examples. In | ||||
| logging filesystem, data is not store in a data structure on disk, but instead | ||||
| and [yaffs](https://en.wikipedia.org/wiki/YAFFS) are good examples. In a | ||||
| logging filesystem, data is not stored in a data structure on disk, but instead | ||||
| the changes to the files are stored on disk. This has several neat advantages, | ||||
| such as the fact that the data is written in a cyclic log format naturally | ||||
| such as the fact that the data is written in a cyclic log format and naturally | ||||
| wear levels as a side effect. And, with a bit of error detection, the entire | ||||
| filesystem can easily be designed to be resilient to power loss. The | ||||
| journalling component of most modern day filesystems is actually a reduced | ||||
| journaling component of most modern day filesystems is actually a reduced | ||||
| form of a logging filesystem. However, logging filesystems have a difficulty | ||||
| scaling as the size of storage increases. And most filesystems compensate by | ||||
| caching large parts of the filesystem in RAM, a strategy that is unavailable | ||||
| caching large parts of the filesystem in RAM, a strategy that is inappropriate | ||||
| for embedded systems. | ||||
|  | ||||
| Another interesting filesystem design technique is that of [copy-on-write (COW)](https://en.wikipedia.org/wiki/Copy-on-write). | ||||
| @@ -107,14 +109,14 @@ where the COW data structures are synchronized. | ||||
| ## Metadata pairs | ||||
|  | ||||
| The core piece of technology that provides the backbone for the littlefs is | ||||
| the concept of metadata pairs. The key idea here, is that any metadata that | ||||
| the concept of metadata pairs. The key idea here is that any metadata that | ||||
| needs to be updated atomically is stored on a pair of blocks tagged with | ||||
| a revision count and checksum. Every update alternates between these two | ||||
| pairs, so that at any time there is always a backup containing the previous | ||||
| state of the metadata. | ||||
|  | ||||
| Consider a small example where each metadata pair has a revision count, | ||||
| a number as data, and the xor of the block as a quick checksum. If | ||||
| a number as data, and the XOR of the block as a quick checksum. If | ||||
| we update the data to a value of 9, and then to a value of 5, here is | ||||
| what the pair of blocks may look like after each update: | ||||
| ``` | ||||
| @@ -130,7 +132,7 @@ what the pair of blocks may look like after each update: | ||||
| After each update, we can find the most up to date value of data by looking | ||||
| at the revision count. | ||||
|  | ||||
| Now consider what the blocks may look like if we suddenly loss power while | ||||
| Now consider what the blocks may look like if we suddenly lose power while | ||||
| changing the value of data to 5: | ||||
| ``` | ||||
|   block 1   block 2        block 1   block 2        block 1   block 2 | ||||
| @@ -149,7 +151,7 @@ check our checksum we notice that block 1 was corrupted. So we fall back to | ||||
| block 2 and use the value 9. | ||||
|  | ||||
| Using this concept, the littlefs is able to update metadata blocks atomically. | ||||
| There are a few other tweaks, such as using a 32 bit crc and using sequence | ||||
| There are a few other tweaks, such as using a 32 bit CRC and using sequence | ||||
| arithmetic to handle revision count overflow, but the basic concept | ||||
| is the same. These metadata pairs define the backbone of the littlefs, and the | ||||
| rest of the filesystem is built on top of these atomic updates. | ||||
| @@ -161,7 +163,7 @@ requires two blocks for each block of data. I'm sure users would be very | ||||
| unhappy if their storage was suddenly cut in half! Instead of storing | ||||
| everything in these metadata blocks, the littlefs uses a COW data structure | ||||
| for files which is in turn pointed to by a metadata block. When | ||||
| we update a file, we create a copies of any blocks that are modified until | ||||
| we update a file, we create copies of any blocks that are modified until | ||||
| the metadata blocks are updated with the new copy. Once the metadata block | ||||
| points to the new copy, we deallocate the old blocks that are no longer in use. | ||||
|  | ||||
| @@ -184,7 +186,7 @@ Here is what updating a one-block file may look like: | ||||
|             update data in file        update metadata pair | ||||
| ``` | ||||
|  | ||||
| It doesn't matter if we lose power while writing block 5 with the new data, | ||||
| It doesn't matter if we lose power while writing new data to block 5, | ||||
| since the old data remains unmodified in block 4. This example also | ||||
| highlights how the atomic updates of the metadata blocks provide a | ||||
| synchronization barrier for the rest of the littlefs. | ||||
| @@ -206,7 +208,7 @@ files in filesystems. Of these, the littlefs uses a rather unique [COW](https:// | ||||
| data structure that allows the filesystem to reuse unmodified parts of the | ||||
| file without additional metadata pairs. | ||||
|  | ||||
| First lets consider storing files in a simple linked-list. What happens when | ||||
| First lets consider storing files in a simple linked-list. What happens when we | ||||
| append a block? We have to change the last block in the linked-list to point | ||||
| to this new block, which means we have to copy out the last block, and change | ||||
| the second-to-last block, and then the third-to-last, and so on until we've | ||||
| @@ -240,8 +242,8 @@ Exhibit B: A backwards linked-list | ||||
| ``` | ||||
|  | ||||
| However, a backwards linked-list does come with a rather glaring problem. | ||||
| Iterating over a file _in order_ has a runtime of O(n^2). Gah! A quadratic | ||||
| runtime to just _read_ a file? That's awful. Keep in mind reading files are | ||||
| Iterating over a file _in order_ has a runtime cost of O(n^2). Gah! A quadratic | ||||
| runtime to just _read_ a file? That's awful. Keep in mind reading files is | ||||
| usually the most common filesystem operation. | ||||
|  | ||||
| To avoid this problem, the littlefs uses a multilayered linked-list. For | ||||
| @@ -266,7 +268,7 @@ Exhibit C: A backwards CTZ skip-list | ||||
| ``` | ||||
|  | ||||
| The additional pointers allow us to navigate the data-structure on disk | ||||
| much more efficiently than in a single linked-list. | ||||
| much more efficiently than in a singly linked-list. | ||||
|  | ||||
| Taking exhibit C for example, here is the path from data block 5 to data | ||||
| block 1. You can see how data block 3 was completely skipped: | ||||
| @@ -289,15 +291,15 @@ The path to data block 0 is even more quick, requiring only two jumps: | ||||
|  | ||||
| We can find the runtime complexity by looking at the path to any block from | ||||
| the block containing the most pointers. Every step along the path divides | ||||
| the search space for the block in half. This gives us a runtime of O(logn). | ||||
| the search space for the block in half. This gives us a runtime of O(log n). | ||||
| To get to the block with the most pointers, we can perform the same steps | ||||
| backwards, which puts the runtime at O(2logn) = O(logn). The interesting | ||||
| backwards, which puts the runtime at O(2 log n) = O(log n). The interesting | ||||
| part about this data structure is that this optimal path occurs naturally | ||||
| if we greedily choose the pointer that covers the most distance without passing | ||||
| our target block. | ||||
|  | ||||
| So now we have a representation of files that can be appended trivially with | ||||
| a runtime of O(1), and can be read with a worst case runtime of O(nlogn). | ||||
| a runtime of O(1), and can be read with a worst case runtime of O(n log n). | ||||
| Given that the the runtime is also divided by the amount of data we can store | ||||
| in a block, this is pretty reasonable. | ||||
|  | ||||
| @@ -362,7 +364,7 @@ N = file size in bytes | ||||
|  | ||||
| And this works quite well, but is not trivial to calculate. This equation | ||||
| requires O(n) to compute, which brings the entire runtime of reading a file | ||||
| to O(n^2logn). Fortunately, the additional O(n) does not need to touch disk, | ||||
| to O(n^2 log n). Fortunately, the additional O(n) does not need to touch disk, | ||||
| so it is not completely unreasonable. But if we could solve this equation into | ||||
| a form that is easily computable, we can avoid a big slowdown. | ||||
|  | ||||
| @@ -379,11 +381,11 @@ unintuitive property: | ||||
|  | ||||
|  | ||||
| where:   | ||||
| ctz(i) = the number of trailing bits that are 0 in i   | ||||
| popcount(i) = the number of bits that are 1 in i   | ||||
| ctz(x) = the number of trailing bits that are 0 in x   | ||||
| popcount(x) = the number of bits that are 1 in x   | ||||
|  | ||||
| It's a bit bewildering that these two seemingly unrelated bitwise instructions | ||||
| are related by this property. But if we start to disect this equation we can | ||||
| are related by this property. But if we start to dissect this equation we can | ||||
| see that it does hold. As n approaches infinity, we do end up with an average | ||||
| overhead of 2 pointers as we find earlier. And popcount seems to handle the | ||||
| error from this average as it accumulates in the CTZ skip-list. | ||||
| @@ -410,8 +412,7 @@ a bit to avoid integer overflow: | ||||
|  | ||||
|  | ||||
| The solution involves quite a bit of math, but computers are very good at math. | ||||
| We can now solve for the block index + offset while only needed to store the | ||||
| file size in O(1). | ||||
| Now we can solve for both the block index and offset from the file size in O(1). | ||||
|  | ||||
| Here is what it might look like to update a file stored with a CTZ skip-list: | ||||
| ``` | ||||
| @@ -500,16 +501,17 @@ scanned to find the most recent free list, but once the list was found the | ||||
| state of all free blocks becomes known. | ||||
|  | ||||
| However, this approach had several issues: | ||||
|  | ||||
| - There was a lot of nuanced logic for adding blocks to the free list without | ||||
|   modifying the blocks, since the blocks remain active until the metadata is | ||||
|   updated. | ||||
| - The free list had to support both additions and removals in fifo order while | ||||
| - The free list had to support both additions and removals in FIFO order while | ||||
|   minimizing block erases. | ||||
| - The free list had to handle the case where the file system completely ran | ||||
|   out of blocks and may no longer be able to add blocks to the free list. | ||||
| - If we used a revision count to track the most recently updated free list, | ||||
|   metadata blocks that were left unmodified were ticking time bombs that would | ||||
|   cause the system to go haywire if the revision count overflowed | ||||
|   cause the system to go haywire if the revision count overflowed. | ||||
| - Every single metadata block wasted space to store these free list references. | ||||
|  | ||||
| Actually, to simplify, this approach had one massive glaring issue: complexity. | ||||
| @@ -539,7 +541,7 @@ would have an abhorrent runtime. | ||||
| So the littlefs compromises. It doesn't store a bitmap the size of the storage, | ||||
| but it does store a little bit-vector that contains a fixed set lookahead | ||||
| for block allocations. During a block allocation, the lookahead vector is | ||||
| checked for any free blocks, if there are none, the lookahead region jumps | ||||
| checked for any free blocks. If there are none, the lookahead region jumps | ||||
| forward and the entire filesystem is scanned for free blocks. | ||||
|  | ||||
| Here's what it might look like to allocate 4 blocks on a decently busy | ||||
| @@ -622,7 +624,7 @@ So, as a solution, the littlefs adopted a sort of threaded tree. Each | ||||
| directory not only contains pointers to all of its children, but also a | ||||
| pointer to the next directory. These pointers create a linked-list that | ||||
| is threaded through all of the directories in the filesystem. Since we | ||||
| only use this linked list to check for existance, the order doesn't actually | ||||
| only use this linked list to check for existence, the order doesn't actually | ||||
| matter. As an added plus, we can repurpose the pointer for the individual | ||||
| directory linked-lists and avoid using any additional space. | ||||
|  | ||||
| @@ -773,7 +775,7 @@ deorphan step that simply iterates through every directory in the linked-list | ||||
| and checks it against every directory entry in the filesystem to see if it | ||||
| has a parent. The deorphan step occurs on the first block allocation after | ||||
| boot, so orphans should never cause the littlefs to run out of storage | ||||
| prematurely. Note that the deorphan step never needs to run in a readonly | ||||
| prematurely. Note that the deorphan step never needs to run in a read-only | ||||
| filesystem. | ||||
|  | ||||
| ## The move problem | ||||
| @@ -883,7 +885,7 @@ a power loss will occur during filesystem activity. We still need to handle | ||||
| the condition, but runtime during a power loss takes a back seat to the runtime | ||||
| during normal operations. | ||||
|  | ||||
| So what littlefs does is unelegantly simple. When littlefs moves a file, it | ||||
| So what littlefs does is inelegantly simple. When littlefs moves a file, it | ||||
| marks the file as "moving". This is stored as a single bit in the directory | ||||
| entry and doesn't take up much space. Then littlefs moves the directory, | ||||
| finishing with the complete remove of the "moving" directory entry. | ||||
| @@ -979,7 +981,7 @@ if it exists elsewhere in the filesystem. | ||||
| So now that we have all of the pieces of a filesystem, we can look at a more | ||||
| subtle attribute of embedded storage: The wear down of flash blocks. | ||||
|  | ||||
| The first concern for the littlefs, is that prefectly valid blocks can suddenly | ||||
| The first concern for the littlefs, is that perfectly valid blocks can suddenly | ||||
| become unusable. As a nice side-effect of using a COW data-structure for files, | ||||
| we can simply move on to a different block when a file write fails. All | ||||
| modifications to files are performed in copies, so we will only replace the | ||||
| @@ -1151,7 +1153,7 @@ develops errors and needs to be moved. | ||||
|  | ||||
| ## Wear leveling | ||||
|  | ||||
| The second concern for the littlefs, is that blocks in the filesystem may wear | ||||
| The second concern for the littlefs is that blocks in the filesystem may wear | ||||
| unevenly. In this situation, a filesystem may meet an early demise where | ||||
| there are no more non-corrupted blocks that aren't in use. It's common to | ||||
| have files that were written once and left unmodified, wasting the potential | ||||
| @@ -1171,7 +1173,7 @@ of wear leveling: | ||||
|  | ||||
| In littlefs's case, it's possible to use the revision count on metadata pairs | ||||
| to approximate the wear of a metadata block. And combined with the COW nature | ||||
| of files, littlefs could provide your usually implementation of dynamic wear | ||||
| of files, littlefs could provide your usual implementation of dynamic wear | ||||
| leveling. | ||||
|  | ||||
| However, the littlefs does not. This is for a few reasons. Most notably, even | ||||
| @@ -1210,9 +1212,9 @@ So, to summarize: | ||||
|    metadata block is active | ||||
| 4. Directory blocks contain either references to other directories or files | ||||
| 5. Files are represented by copy-on-write CTZ skip-lists which support O(1) | ||||
|    append and O(nlogn) reading | ||||
|    append and O(n log n) reading | ||||
| 6. Blocks are allocated by scanning the filesystem for used blocks in a | ||||
|    fixed-size lookahead region is that stored in a bit-vector | ||||
|    fixed-size lookahead region that is stored in a bit-vector | ||||
| 7. To facilitate scanning the filesystem, all directories are part of a | ||||
|    linked-list that is threaded through the entire filesystem | ||||
| 8. If a block develops an error, the littlefs allocates a new block, and | ||||
|   | ||||
							
								
								
									
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							| @@ -16,7 +16,7 @@ of memory. Recursion is avoided and dynamic memory is limited to configurable | ||||
| buffers that can be provided statically. | ||||
|  | ||||
| **Power-loss resilient** - The littlefs is designed for systems that may have | ||||
| random power failures. The littlefs has strong copy-on-write guaruntees and | ||||
| random power failures. The littlefs has strong copy-on-write guarantees and | ||||
| storage on disk is always kept in a valid state. | ||||
|  | ||||
| **Wear leveling** - Since the most common form of embedded storage is erodible | ||||
| @@ -88,7 +88,7 @@ int main(void) { | ||||
| ## Usage | ||||
|  | ||||
| Detailed documentation (or at least as much detail as is currently available) | ||||
| can be cound in the comments in [lfs.h](lfs.h). | ||||
| can be found in the comments in [lfs.h](lfs.h). | ||||
|  | ||||
| As you may have noticed, littlefs takes in a configuration structure that | ||||
| defines how the filesystem operates. The configuration struct provides the | ||||
| @@ -101,12 +101,12 @@ to the user to allocate, allowing multiple filesystems to be in use | ||||
| simultaneously. With the `lfs_t` and configuration struct, a user can | ||||
| format a block device or mount the filesystem. | ||||
|  | ||||
| Once mounted, the littlefs provides a full set of posix-like file and | ||||
| Once mounted, the littlefs provides a full set of POSIX-like file and | ||||
| directory functions, with the deviation that the allocation of filesystem | ||||
| structures must be provided by the user. | ||||
|  | ||||
| All posix operations, such as remove and rename, are atomic, even in event | ||||
| of power-loss. Additionally, no file updates are actually commited to the | ||||
| All POSIX operations, such as remove and rename, are atomic, even in event | ||||
| of power-loss. Additionally, no file updates are actually committed to the | ||||
| filesystem until sync or close is called on the file. | ||||
|  | ||||
| ## Other notes | ||||
| @@ -116,7 +116,7 @@ can be either one of those found in the `enum lfs_error` in [lfs.h](lfs.h), | ||||
| or an error returned by the user's block device operations. | ||||
|  | ||||
| It should also be noted that the current implementation of littlefs doesn't | ||||
| really do anything to insure that the data written to disk is machine portable. | ||||
| really do anything to ensure that the data written to disk is machine portable. | ||||
| This is fine as long as all of the involved machines share endianness | ||||
| (little-endian) and don't have strange padding requirements. | ||||
|  | ||||
| @@ -131,9 +131,9 @@ with all the nitty-gritty details. Can be useful for developing tooling. | ||||
|  | ||||
| ## Testing | ||||
|  | ||||
| The littlefs comes with a test suite designed to run on a pc using the | ||||
| The littlefs comes with a test suite designed to run on a PC using the | ||||
| [emulated block device](emubd/lfs_emubd.h) found in the emubd directory. | ||||
| The tests assume a linux environment and can be started with make: | ||||
| The tests assume a Linux environment and can be started with make: | ||||
|  | ||||
| ``` bash | ||||
| make test | ||||
| @@ -148,7 +148,7 @@ littlefs is available in Mbed OS as the [LittleFileSystem](https://os.mbed.com/d | ||||
| class. | ||||
|  | ||||
| [littlefs-fuse](https://github.com/geky/littlefs-fuse) - A [FUSE](https://github.com/libfuse/libfuse) | ||||
| wrapper for littlefs. The project allows you to mount littlefs directly in a | ||||
| wrapper for littlefs. The project allows you to mount littlefs directly on a | ||||
| Linux machine. Can be useful for debugging littlefs if you have an SD card | ||||
| handy. | ||||
|  | ||||
|   | ||||
							
								
								
									
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							| @@ -46,7 +46,7 @@ Here's the layout of metadata blocks on disk: | ||||
| | 0x04   | 32 bits       | dir size       | | ||||
| | 0x08   | 64 bits       | tail pointer   | | ||||
| | 0x10   | size-16 bytes | dir entries    | | ||||
| | 0x00+s | 32 bits       | crc            | | ||||
| | 0x00+s | 32 bits       | CRC            | | ||||
|  | ||||
| **Revision count** - Incremented every update, only the uncorrupted | ||||
| metadata-block with the most recent revision count contains the valid metadata. | ||||
| @@ -75,7 +75,7 @@ Here's an example of a simple directory stored on disk: | ||||
| (32 bits) revision count = 10                    (0x0000000a) | ||||
| (32 bits) dir size       = 154 bytes, end of dir (0x0000009a) | ||||
| (64 bits) tail pointer   = 37, 36                (0x00000025, 0x00000024) | ||||
| (32 bits) crc            = 0xc86e3106 | ||||
| (32 bits) CRC            = 0xc86e3106 | ||||
|  | ||||
| 00000000: 0a 00 00 00 9a 00 00 00 25 00 00 00 24 00 00 00  ........%...$... | ||||
| 00000010: 22 08 00 03 05 00 00 00 04 00 00 00 74 65 61 22  "...........tea" | ||||
| @@ -138,12 +138,12 @@ not include the entry type size, attributes, or name. The full size in bytes | ||||
| of the entry is 4 + entry length + attribute length + name length. | ||||
|  | ||||
| **Attribute length** - Length of system-specific attributes in bytes. Since | ||||
| attributes are system specific, there is not much garuntee on the values in | ||||
| attributes are system specific, there is not much guarantee on the values in | ||||
| this section, and systems are expected to work even when it is empty. See the | ||||
| [attributes](#entry-attributes) section for more details. | ||||
|  | ||||
| **Name length** - Length of the entry name. Entry names are stored as utf8, | ||||
| although most systems will probably only support ascii. Entry names can not | ||||
| **Name length** - Length of the entry name. Entry names are stored as UTF8, | ||||
| although most systems will probably only support ASCII. Entry names can not | ||||
| contain '/' and can not be '.' or '..' as these are a part of the syntax of | ||||
| filesystem paths. | ||||
|  | ||||
| @@ -222,7 +222,7 @@ Here's an example of a complete superblock: | ||||
| (32 bits) block count      = 1024 blocks          (0x00000400) | ||||
| (32 bits) version          = 1.1                  (0x00010001) | ||||
| (8 bytes) magic string     = littlefs | ||||
| (32 bits) crc              = 0xc50b74fa | ||||
| (32 bits) CRC              = 0xc50b74fa | ||||
|  | ||||
| 00000000: 03 00 00 00 34 00 00 00 03 00 00 00 02 00 00 00  ....4........... | ||||
| 00000010: 2e 14 00 08 03 00 00 00 02 00 00 00 00 02 00 00  ................ | ||||
|   | ||||
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