wolever/battleship.html

## battleship.html
<html>
  <head>
    <script src="./battleship.js"></script>
<style>
  .board,
  .heatmap {
    border: 1px solid black;
    margin: 5px;
    display: inline-block;
  }

  .board td,
  .heatmap td {
    width: 20px;
    height: 20px;
    border: 1px solid black;
    padding: 0;
    vertical-align: middle;
    text-align: center;
  }

  .board td.ship {
    background-color: green;
  }

  .board td.ship.hit {
    background-color: red;
  }

  .board td.ship.sunk {
    background-color: darkred;
  }

  .board td.miss {
    background-color: blue;
  }
  </head>

  <body>
  </body>
</html>

## battleship.js
function mkArray(size, dflt) {
  return (new Array(size)).fill(null).map(x => typeof dflt == 'function' ? dflt() : dflt)
}

function boardEmpty(sz, dflt) {
  sz = sz || 10
  dflt = dflt === undefined? { type: 'empty' } : dflt
  return mkArray(sz, () => mkArray(sz, dflt))
}

function boardSliceIsEmpty(board, start, end) {
  for (let y = start[1]; y < end[1]; y += 1) {
    for (let x = start[0]; x < end[0]; x += 1) {
      if (board[y] === undefined)
        return false
      const val = board[y][x]
      const isEmpty = (
        val !== undefined &&
        val.type == 'empty'
      )
      if (!isEmpty)
        return false
    }
  }

  return true
}

function boardPlace(board, start, end, value) {
  const res = board.map((row, idx) => {
    const needsCopy = idx >= start[1] && idx <= end[1]
    return needsCopy ? row.concat() : row
  })

  for (let y = start[1]; y < end[1]; y += 1) {
    const row = res[y]
    for (let x = start[0]; x < end[0]; x += 1) {
      res[y][x] = value
    }
  }

  return res
}

const SHIPS = [
  {
    "type": "ship",
    "size": 2,
    "num": 1,
  },
  {
    "type": "ship",
    "size": 3,
    "num": 2,
  },
  {
    "type": "ship",
    "size": 4,
    "num": 3,
  },
  {
    "type": "ship",
    "size": 5,
    "num": 4,
  },
]

function generateBoards(board, ships, filter, res) {
  if (res === undefined)
    res = []

  if (!ships.length) {
    if (filter && !filter(board))
      return res
    res.push(board)
    return res
  }

  const ship = ships[0]
  const shipsRest = ships.slice(1)
  for (let y = 0; y < board.length; y += 1) {
    const row = board[y]
    for (let x = 0; x < row.length; x += 1) {
      const start = [x, y]
      const endHoriz = [x + ship.size, y + 1]
      if (boardSliceIsEmpty(board, start, endHoriz)) {
        const placed = boardPlace(board, start, endHoriz, ship)
        const subboards = generateBoards(placed, shipsRest, filter, res)
      }
      const endVert = [x + 1, y + ship.size]
      if (boardSliceIsEmpty(board, start, endVert)) {
        const placed = boardPlace(board, start, endVert, ship)
        const subboards = generateBoards(placed, shipsRest, filter, res)
      }
    }
  }

  return res
}

function boardScan(board, callback) {
  for (let y = 0; y < board.length; y += 1) {
    const row = board[y]
    for (let x = 0; x < row.length; x += 1) {
      const res = callback(x, y, row[x])
      if (res !== undefined)
        return res
    }
  }
}

function boardShoot(board, pos) {
  const [x, y] = pos
  const val = board[y][x]
  const newVal = (
    val.type == 'empty' ? { type: 'miss', isKnown: true } :
    val.type == 'ship' ? { ...val, isHit: true, isKnown: true } :
    null
  )
  if (!newVal)
    throw new Error("Huh?")

  const res = boardPlace(board, [x, y], [x + 1, y + 1], newVal)
  if (newVal.type == 'ship') {
    // check for sink
    let shipParts = []
    boardScan(res, (x, y, val) => {
      if (val.type == 'ship' && val.num == newVal.num) {
        if (!val.isHit) {
          shipParts = []
          return false
        }
        shipParts.push([x, y, val])
        if (shipParts.length == val.size) {
          return false
        }
      }
    })
    shipParts.forEach(([x, y, ship]) => {
      res[y][x] = {...ship, isSunk: true}
    })
  }

  return res
}

function playHuntAndTarget(board) {
  // 1. See if there are any hits that have not been sunk
  const firstHits = []
  boardScan(board, (x, y, val) => {
    if (val.type == 'ship' && val.isHit && !val.isSunk)
      firstHits.push([x, y, val])
  })
  while (firstHits.length > 0) {
    const [x, y, val] = firstHits.pop()
    const targets = [
      [x - 1, y],
      [x + 1, y],
      [x, y - 1],
      [x, y + 1],
    ]
    for (const [x, y] of targets) {
      const val = board[y] && board[y][x]
      const doNotShoot = (
        val === undefined ||
        val.isKnown
      )
      if (doNotShoot)
        continue
      return boardShoot(board, [x, y])
    }
  }

  // 2. Pick the first odd non-hit spot
  const spot = boardScan(board, (x, y, val) => {
    if (x % 2 + y % 2 != 1)
      return
    if (val.type == 'empty' || val.type == 'ship' && !val.isHit)
      return [x, y]
  })
  if (spot) {
    const [x, y] = spot
    return boardShoot(board, [x, y])
  }

  return null
}

function playProbabilistic(board, ships) {
  const heatmap = boardEmpty(board.length, 0)
  const boardBitmask = boardEmpty(board.length, 0)
  const sunkShips = {}
  const hits = []
  boardScan(board, (x, y, val) => {
    if (val.isSunk)
      sunkShips[val.num] = true
    if (val.isHit && !val.isSunk)
      hits.push([x, y])
    boardBitmask[y][x] = (
      val.isSunk || val.type == 'miss' ?
        { type: 'not-empty' } :
        { type: 'empty' }
    )
  })

  let maxCount = 0
  const allPositions = generateBoards(
    boardBitmask,
    ships.filter(s => !sunkShips[s.num]),
    filterBoard => {
      let coversAllHits = hits.filter(([x, y]) => {
        return filterBoard[y][x].type == 'ship'
      })
      return coversAllHits.length == hits.length
    },
  )
  allPositions.forEach(b => {
    boardScan(b, (x, y, val) => {
      if (val.type == 'ship' && !board[y][x].isHit) {
        heatmap[y][x] += 1
        const val = heatmap[y][x]
        if (val > maxCount)
          maxCount = val
      }
    })
  })

  if (maxCount == 0) {
    return null
  }

  let maxLoc = null
  boardScan(heatmap, (x, y, val) => {
    heatmap[y][x] = val / maxCount
    if (val == maxCount)
      maxLoc = [x, y]
  })

  return [boardShoot(board, maxLoc), heatmap]
}

function boardRender(board) {
  if (!board)
    return "(no board)"

  const res = [`<table class="board">`]
  board.forEach(row => {
    res.push(`<tr>`)
    res.push(...row.map(space => {
      const classes = [
        space.type,
        space.isHit && 'hit',
        space.isSunk && 'sunk',
      ]

      return `<td class="${classes.join(' ')}">${space.size || ''}</td>`
    }))
    res.push(`</tr>`)
  })
  res.push(...'</table>')
  return res.join('')
}

function heatmapRender(board) {
  if (!board)
    return "(no board)"

  const res = [`<table class="heatmap">`]
  board.forEach(row => {
    res.push(`<tr>`)
    res.push(...row.map(space => {
      return `<td style="background-color: red; opacity: ${space}"></td>`
    }))
    res.push(`</tr>`)
  })
  res.push(...'</table>\n')
  return res.join('')
}

(() => {
  const ships = SHIPS.slice(0, 4)
  const boards = generateBoards(boardEmpty(7), ships)
  let b = boards[parseInt(Math.random() * boards.length)]
  let heatmap
  let count = 0
  while (b) {
    document.write(boardRender(b))
    const x = playProbabilistic(b, ships)
    if (!x)
      break
    b = x[0]
    heatmap = x[1]
    document.write(heatmapRender(heatmap))
    document.write("<br />")
    if (count++ > 100)
      break
  }

})()

## example.html

<!-- saved from url=(0041)file:///Users/wolever/tmp/battleship.html -->
<html><head><meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
    </head><body><table class="board"><tbody><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="ship  ">3</td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="ship  ">3</td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="ship  ">3</td><td class="ship  ">2</td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="empty  "></td><td class="ship  ">2</td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="ship  ">5</td><td class="empty  "></td></tr></tbody></table><table class="heatmap"><tbody><tr><td style="background-color: red; opacity: 0.5032447196140666"></td><td style="background-color: red; opacity: 0.6999364607110378"></td><td style="background-color: red; opacity: 0.8689848469335517"></td><td style="background-color: red; opacity: 0.9221944844283572"></td><td style="background-color: red; opacity: 0.8689848469335517"></td><td style="background-color: red; opacity: 0.6999364607110378"></td><td style="background-color: red; opacity: 0.5032447196140666"></td></tr><tr><td style="background-color: red; opacity: 0.6999364607110378"></td><td style="background-color: red; opacity: 0.8106333451779402"></td><td style="background-color: red; opacity: 0.9128216864712507"></td><td style="background-color: red; opacity: 0.9447750227356223"></td><td style="background-color: red; opacity: 0.9128216864712507"></td><td style="background-color: red; opacity: 0.8106333451779402"></td><td style="background-color: red; opacity: 0.6999364607110378"></td></tr><tr><td style="background-color: red; opacity: 0.8689848469335517"></td><td style="background-color: red; opacity: 0.9128216864712507"></td><td style="background-color: red; opacity: 0.9670137738724035"></td><td style="background-color: red; opacity: 0.9830024873674257"></td><td style="background-color: red; opacity: 0.9670137738724035"></td><td style="background-color: red; opacity: 0.9128216864712507"></td><td style="background-color: red; opacity: 0.8689848469335517"></td></tr><tr><td style="background-color: red; opacity: 0.9221944844283572"></td><td style="background-color: red; opacity: 0.9447750227356223"></td><td style="background-color: red; opacity: 0.9830024873674257"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0.9830024873674257"></td><td style="background-color: red; opacity: 0.9447750227356223"></td><td style="background-color: red; opacity: 0.9221944844283572"></td></tr><tr><td style="background-color: red; opacity: 0.8689848469335517"></td><td style="background-color: red; opacity: 0.9128216864712507"></td><td style="background-color: red; opacity: 0.9670137738724035"></td><td style="background-color: red; opacity: 0.9830024873674257"></td><td style="background-color: red; opacity: 0.9670137738724035"></td><td style="background-color: red; opacity: 0.9128216864712507"></td><td style="background-color: red; opacity: 0.8689848469335517"></td></tr><tr><td style="background-color: red; opacity: 0.6999364607110378"></td><td style="background-color: red; opacity: 0.8106333451779402"></td><td style="background-color: red; opacity: 0.9128216864712507"></td><td style="background-color: red; opacity: 0.9447750227356223"></td><td style="background-color: red; opacity: 0.9128216864712507"></td><td style="background-color: red; opacity: 0.8106333451779402"></td><td style="background-color: red; opacity: 0.6999364607110378"></td></tr><tr><td style="background-color: red; opacity: 0.5032447196140666"></td><td style="background-color: red; opacity: 0.6999364607110378"></td><td style="background-color: red; opacity: 0.8689848469335517"></td><td style="background-color: red; opacity: 0.9221944844283572"></td><td style="background-color: red; opacity: 0.8689848469335517"></td><td style="background-color: red; opacity: 0.6999364607110378"></td><td style="background-color: red; opacity: 0.5032447196140666"></td></tr></tbody></table>
<br><table class="board"><tbody><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="ship  ">3</td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="ship  ">3</td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="ship  ">3</td><td class="ship  ">2</td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="miss  "></td><td class="ship  ">2</td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="ship  ">5</td><td class="empty  "></td></tr></tbody></table><table class="heatmap"><tbody><tr><td style="background-color: red; opacity: 0.4983285697571412"></td><td style="background-color: red; opacity: 0.6948605609319896"></td><td style="background-color: red; opacity: 0.868067743067743"></td><td style="background-color: red; opacity: 0.8375850340136054"></td><td style="background-color: red; opacity: 0.868067743067743"></td><td style="background-color: red; opacity: 0.6948605609319896"></td><td style="background-color: red; opacity: 0.4983285697571412"></td></tr><tr><td style="background-color: red; opacity: 0.6948605609319896"></td><td style="background-color: red; opacity: 0.809977184977185"></td><td style="background-color: red; opacity: 0.9239823079108793"></td><td style="background-color: red; opacity: 0.744783048354477"></td><td style="background-color: red; opacity: 0.9239823079108793"></td><td style="background-color: red; opacity: 0.809977184977185"></td><td style="background-color: red; opacity: 0.6948605609319896"></td></tr><tr><td style="background-color: red; opacity: 0.868067743067743"></td><td style="background-color: red; opacity: 0.9239823079108793"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0.632813936385365"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0.9239823079108793"></td><td style="background-color: red; opacity: 0.868067743067743"></td></tr><tr><td style="background-color: red; opacity: 0.8375850340136054"></td><td style="background-color: red; opacity: 0.744783048354477"></td><td style="background-color: red; opacity: 0.632813936385365"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.632813936385365"></td><td style="background-color: red; opacity: 0.744783048354477"></td><td style="background-color: red; opacity: 0.8375850340136054"></td></tr><tr><td style="background-color: red; opacity: 0.868067743067743"></td><td style="background-color: red; opacity: 0.9239823079108793"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0.632813936385365"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0.9239823079108793"></td><td style="background-color: red; opacity: 0.868067743067743"></td></tr><tr><td style="background-color: red; opacity: 0.6948605609319896"></td><td style="background-color: red; opacity: 0.809977184977185"></td><td style="background-color: red; opacity: 0.9239823079108793"></td><td style="background-color: red; opacity: 0.744783048354477"></td><td style="background-color: red; opacity: 0.9239823079108793"></td><td style="background-color: red; opacity: 0.809977184977185"></td><td style="background-color: red; opacity: 0.6948605609319896"></td></tr><tr><td style="background-color: red; opacity: 0.4983285697571412"></td><td style="background-color: red; opacity: 0.6948605609319896"></td><td style="background-color: red; opacity: 0.868067743067743"></td><td style="background-color: red; opacity: 0.8375850340136054"></td><td style="background-color: red; opacity: 0.868067743067743"></td><td style="background-color: red; opacity: 0.6948605609319896"></td><td style="background-color: red; opacity: 0.4983285697571412"></td></tr></tbody></table>
<br><table class="board"><tbody><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="ship  ">3</td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="ship  ">3</td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="ship  ">3</td><td class="ship  ">2</td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship  ">4</td><td class="empty  "></td><td class="miss  "></td><td class="ship  ">2</td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="miss  "></td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="ship  ">5</td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="empty  "></td><td class="ship  ">5</td><td class="empty  "></td></tr></tbody></table><table class="heatmap"><tbody><tr><td style="background-color: red; opacity: 0.48888842135635197"></td><td style="background-color: red; opacity: 0.6809501196215391"></td><td style="background-color: red; opacity: 0.8543397371932819"></td><td style="background-color: red; opacity: 0.8278381562654036"></td><td style="background-color: red; opacity: 0.8155273566645427"></td><td style="background-color: red; opacity: 0.6886233304079155"></td><td style="background-color: red; opacity: 0.4943179768932062"></td></tr><tr><td style="background-color: red; opacity: 0.6809501196215391"></td><td style="background-color: red; opacity: 0.7917593382945215"></td><td style="background-color: red; opacity: 0.9104431406965701"></td><td style="background-color: red; opacity: 0.7385367700982219"></td><td style="background-color: red; opacity: 0.7821911179504443"></td><td style="background-color: red; opacity: 0.811531456256988"></td><td style="background-color: red; opacity: 0.6925531083566766"></td></tr><tr><td style="background-color: red; opacity: 0.8543397371932819"></td><td style="background-color: red; opacity: 0.9104431406965701"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0.6419649190300436"></td><td style="background-color: red; opacity: 0.7324174370934972"></td><td style="background-color: red; opacity: 0.9461597879272412"></td><td style="background-color: red; opacity: 0.8747851020089206"></td></tr><tr><td style="background-color: red; opacity: 0.8278381562654036"></td><td style="background-color: red; opacity: 0.7385367700982219"></td><td style="background-color: red; opacity: 0.6419649190300436"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.21573804686278988"></td><td style="background-color: red; opacity: 0.7727280924271751"></td><td style="background-color: red; opacity: 0.8484067492997031"></td></tr><tr><td style="background-color: red; opacity: 0.8155273566645427"></td><td style="background-color: red; opacity: 0.7821911179504443"></td><td style="background-color: red; opacity: 0.7324174370934972"></td><td style="background-color: red; opacity: 0.21573804686278988"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.6489032688539175"></td><td style="background-color: red; opacity: 0.7488353430553385"></td></tr><tr><td style="background-color: red; opacity: 0.6886233304079155"></td><td style="background-color: red; opacity: 0.811531456256988"></td><td style="background-color: red; opacity: 0.9461597879272412"></td><td style="background-color: red; opacity: 0.7727280924271751"></td><td style="background-color: red; opacity: 0.6489032688539175"></td><td style="background-color: red; opacity: 0.8501033914810229"></td><td style="background-color: red; opacity: 0.7105985284747353"></td></tr><tr><td style="background-color: red; opacity: 0.4943179768932062"></td><td style="background-color: red; opacity: 0.6925531083566766"></td><td style="background-color: red; opacity: 0.8747851020089206"></td><td style="background-color: red; opacity: 0.8484067492997031"></td><td style="background-color: red; opacity: 0.7488353430553385"></td><td style="background-color: red; opacity: 0.7105985284747353"></td><td style="background-color: red; opacity: 0.504430204739177"></td></tr></tbody></table>
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<br><table class="board"><tbody><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="empty  "></td><td class="ship hit sunk">3</td><td class="miss  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="miss  "></td><td class="ship hit sunk">3</td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="miss  "></td><td class="ship hit sunk">3</td><td class="ship  ">2</td><td class="ship hit sunk">5</td><td class="empty  "></td></tr><tr><td class="miss  "></td><td class="ship hit sunk">4</td><td class="empty  "></td><td class="miss  "></td><td class="ship  ">2</td><td class="ship hit sunk">5</td><td class="miss  "></td></tr><tr><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="empty  "></td><td class="miss  "></td><td class="ship hit sunk">5</td><td class="empty  "></td></tr><tr><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="empty  "></td><td class="ship hit sunk">5</td><td class="miss  "></td></tr><tr><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="ship hit sunk">5</td><td class="empty  "></td></tr></tbody></table><table class="heatmap"><tbody><tr><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 1"></td></tr><tr><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td></tr><tr><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr></tbody></table>
<br><table class="board"><tbody><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="empty  "></td><td class="ship hit sunk">3</td><td class="miss  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="miss  "></td><td class="ship hit sunk">3</td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="miss  "></td><td class="ship hit sunk">3</td><td class="ship  ">2</td><td class="ship hit sunk">5</td><td class="empty  "></td></tr><tr><td class="miss  "></td><td class="ship hit sunk">4</td><td class="empty  "></td><td class="miss  "></td><td class="ship  ">2</td><td class="ship hit sunk">5</td><td class="miss  "></td></tr><tr><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="empty  "></td><td class="miss  "></td><td class="ship hit sunk">5</td><td class="empty  "></td></tr><tr><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="ship hit sunk">5</td><td class="miss  "></td></tr><tr><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="ship hit sunk">5</td><td class="empty  "></td></tr></tbody></table><table class="heatmap"><tbody><tr><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 1"></td></tr><tr><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td></tr><tr><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr></tbody></table>
<br><table class="board"><tbody><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="empty  "></td><td class="ship hit sunk">3</td><td class="miss  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="miss  "></td><td class="ship hit sunk">3</td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="miss  "></td><td class="ship hit sunk">3</td><td class="ship  ">2</td><td class="ship hit sunk">5</td><td class="empty  "></td></tr><tr><td class="miss  "></td><td class="ship hit sunk">4</td><td class="empty  "></td><td class="miss  "></td><td class="ship  ">2</td><td class="ship hit sunk">5</td><td class="miss  "></td></tr><tr><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="miss  "></td><td class="ship hit sunk">5</td><td class="empty  "></td></tr><tr><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="ship hit sunk">5</td><td class="miss  "></td></tr><tr><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="ship hit sunk">5</td><td class="empty  "></td></tr></tbody></table><table class="heatmap"><tbody><tr><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 1"></td></tr><tr><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td></tr><tr><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0.5"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr></tbody></table>
<br><table class="board"><tbody><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="empty  "></td><td class="ship hit sunk">3</td><td class="miss  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="miss  "></td><td class="ship hit sunk">3</td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="miss  "></td><td class="ship hit sunk">3</td><td class="ship hit ">2</td><td class="ship hit sunk">5</td><td class="empty  "></td></tr><tr><td class="miss  "></td><td class="ship hit sunk">4</td><td class="empty  "></td><td class="miss  "></td><td class="ship  ">2</td><td class="ship hit sunk">5</td><td class="miss  "></td></tr><tr><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="miss  "></td><td class="ship hit sunk">5</td><td class="empty  "></td></tr><tr><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="ship hit sunk">5</td><td class="miss  "></td></tr><tr><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="ship hit sunk">5</td><td class="empty  "></td></tr></tbody></table><table class="heatmap"><tbody><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 1"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr><tr><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td><td style="background-color: red; opacity: 0"></td></tr></tbody></table>
<br><table class="board"><tbody><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="empty  "></td><td class="ship hit sunk">3</td><td class="miss  "></td><td class="empty  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="miss  "></td><td class="ship hit sunk">3</td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td></tr><tr><td class="empty  "></td><td class="ship hit sunk">4</td><td class="miss  "></td><td class="ship hit sunk">3</td><td class="ship hit sunk">2</td><td class="ship hit sunk">5</td><td class="empty  "></td></tr><tr><td class="miss  "></td><td class="ship hit sunk">4</td><td class="empty  "></td><td class="miss  "></td><td class="ship hit sunk">2</td><td class="ship hit sunk">5</td><td class="miss  "></td></tr><tr><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="miss  "></td><td class="ship hit sunk">5</td><td class="empty  "></td></tr><tr><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="ship hit sunk">5</td><td class="miss  "></td></tr><tr><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="miss  "></td><td class="empty  "></td><td class="ship hit sunk">5</td><td class="empty  "></td></tr></tbody></table>
<style>
  .board,
  .heatmap {
    border: 1px solid black;
    margin: 5px;
    display: inline-block;
  }

  .board td,
  .heatmap td {
    width: 20px;
    height: 20px;
    border: 1px solid black;
    padding: 0;
    vertical-align: middle;
    text-align: center;
  }

  .board td.ship {
    background-color: green;
  }

  .board td.ship.hit {
    background-color: red;
  }

  .board td.ship.sunk {
    background-color: darkred;
  }

  .board td.miss {
    background-color: blue;
  }
  </head>

  <body>
  </body>
</html>
</style></body></html>
	<html>
	<head>
	<script src="./battleship.js"></script>
	<style>
	.board,
	.heatmap {
	border: 1px solid black;
	margin: 5px;
	display: inline-block;
	}

	.board td,
	.heatmap td {
	width: 20px;
	height: 20px;
	border: 1px solid black;
	padding: 0;
	vertical-align: middle;
	text-align: center;
	}

	.board td.ship {
	background-color: green;
	}

	.board td.ship.hit {
	background-color: red;
	}

	.board td.ship.sunk {
	background-color: darkred;
	}

	.board td.miss {
	background-color: blue;
	}
	</head>

	<body>
	</body>
	</html>
	function mkArray(size, dflt) {
	return (new Array(size)).fill(null).map(x => typeof dflt == 'function' ? dflt() : dflt)
	}

	function boardEmpty(sz, dflt) {
	sz = sz \|\| 10
	dflt = dflt === undefined? { type: 'empty' } : dflt
	return mkArray(sz, () => mkArray(sz, dflt))
	}

	function boardSliceIsEmpty(board, start, end) {
	for (let y = start[1]; y < end[1]; y += 1) {
	for (let x = start[0]; x < end[0]; x += 1) {
	if (board[y] === undefined)
	return false
	const val = board[y][x]
	const isEmpty = (
	val !== undefined &&
	val.type == 'empty'
	)
	if (!isEmpty)
	return false
	}
	}

	return true
	}

	function boardPlace(board, start, end, value) {
	const res = board.map((row, idx) => {
	const needsCopy = idx >= start[1] && idx <= end[1]
	return needsCopy ? row.concat() : row
	})

	for (let y = start[1]; y < end[1]; y += 1) {
	const row = res[y]
	for (let x = start[0]; x < end[0]; x += 1) {
	res[y][x] = value
	}
	}

	return res
	}

	const SHIPS = [
	{
	"type": "ship",
	"size": 2,
	"num": 1,
	},
	{
	"type": "ship",
	"size": 3,
	"num": 2,
	},
	{
	"type": "ship",
	"size": 4,
	"num": 3,
	},
	{
	"type": "ship",
	"size": 5,
	"num": 4,
	},
	]

	function generateBoards(board, ships, filter, res) {
	if (res === undefined)
	res = []

	if (!ships.length) {
	if (filter && !filter(board))
	return res
	res.push(board)
	return res
	}

	const ship = ships[0]
	const shipsRest = ships.slice(1)
	for (let y = 0; y < board.length; y += 1) {
	const row = board[y]
	for (let x = 0; x < row.length; x += 1) {
	const start = [x, y]
	const endHoriz = [x + ship.size, y + 1]
	if (boardSliceIsEmpty(board, start, endHoriz)) {
	const placed = boardPlace(board, start, endHoriz, ship)
	const subboards = generateBoards(placed, shipsRest, filter, res)
	}
	const endVert = [x + 1, y + ship.size]
	if (boardSliceIsEmpty(board, start, endVert)) {
	const placed = boardPlace(board, start, endVert, ship)
	const subboards = generateBoards(placed, shipsRest, filter, res)
	}
	}
	}

	return res
	}

	function boardScan(board, callback) {
	for (let y = 0; y < board.length; y += 1) {
	const row = board[y]
	for (let x = 0; x < row.length; x += 1) {
	const res = callback(x, y, row[x])
	if (res !== undefined)
	return res
	}
	}
	}

	function boardShoot(board, pos) {
	const [x, y] = pos
	const val = board[y][x]
	const newVal = (
	val.type == 'empty' ? { type: 'miss', isKnown: true } :
	val.type == 'ship' ? { ...val, isHit: true, isKnown: true } :
	null
	)
	if (!newVal)
	throw new Error("Huh?")

	const res = boardPlace(board, [x, y], [x + 1, y + 1], newVal)
	if (newVal.type == 'ship') {
	// check for sink
	let shipParts = []
	boardScan(res, (x, y, val) => {
	if (val.type == 'ship' && val.num == newVal.num) {
	if (!val.isHit) {
	shipParts = []
	return false
	}
	shipParts.push([x, y, val])
	if (shipParts.length == val.size) {
	return false
	}
	}
	})
	shipParts.forEach(([x, y, ship]) => {
	res[y][x] = {...ship, isSunk: true}
	})
	}

	return res
	}

	function playHuntAndTarget(board) {
	// 1. See if there are any hits that have not been sunk
	const firstHits = []
	boardScan(board, (x, y, val) => {
	if (val.type == 'ship' && val.isHit && !val.isSunk)
	firstHits.push([x, y, val])
	})
	while (firstHits.length > 0) {
	const [x, y, val] = firstHits.pop()
	const targets = [
	[x - 1, y],
	[x + 1, y],
	[x, y - 1],
	[x, y + 1],
	]
	for (const [x, y] of targets) {
	const val = board[y] && board[y][x]
	const doNotShoot = (
	val === undefined \|\|
	val.isKnown
	)
	if (doNotShoot)
	continue
	return boardShoot(board, [x, y])
	}
	}

	// 2. Pick the first odd non-hit spot
	const spot = boardScan(board, (x, y, val) => {
	if (x % 2 + y % 2 != 1)
	return
	if (val.type == 'empty' \|\| val.type == 'ship' && !val.isHit)
	return [x, y]
	})
	if (spot) {
	const [x, y] = spot
	return boardShoot(board, [x, y])
	}

	return null
	}

	function playProbabilistic(board, ships) {
	const heatmap = boardEmpty(board.length, 0)
	const boardBitmask = boardEmpty(board.length, 0)
	const sunkShips = {}
	const hits = []
	boardScan(board, (x, y, val) => {
	if (val.isSunk)
	sunkShips[val.num] = true
	if (val.isHit && !val.isSunk)
	hits.push([x, y])
	boardBitmask[y][x] = (
	val.isSunk \|\| val.type == 'miss' ?
	{ type: 'not-empty' } :
	{ type: 'empty' }
	)
	})

	let maxCount = 0
	const allPositions = generateBoards(
	boardBitmask,
	ships.filter(s => !sunkShips[s.num]),
	filterBoard => {
	let coversAllHits = hits.filter(([x, y]) => {
	return filterBoard[y][x].type == 'ship'
	})
	return coversAllHits.length == hits.length
	},
	)
	allPositions.forEach(b => {
	boardScan(b, (x, y, val) => {
	if (val.type == 'ship' && !board[y][x].isHit) {
	heatmap[y][x] += 1
	const val = heatmap[y][x]
	if (val > maxCount)
	maxCount = val
	}
	})
	})

	if (maxCount == 0) {
	return null
	}

	let maxLoc = null
	boardScan(heatmap, (x, y, val) => {
	heatmap[y][x] = val / maxCount
	if (val == maxCount)
	maxLoc = [x, y]
	})

	return [boardShoot(board, maxLoc), heatmap]
	}

	function boardRender(board) {
	if (!board)
	return "(no board)"

	const res = [`<table class="board">`]
	board.forEach(row => {
	res.push(`<tr>`)
	res.push(...row.map(space => {
	const classes = [
	space.type,
	space.isHit && 'hit',
	space.isSunk && 'sunk',
	]

	return `<td class="${classes.join(' ')}">${space.size \|\| ''}</td>`
	}))
	res.push(`</tr>`)
	})
	res.push(...'</table>')
	return res.join('')
	}

	function heatmapRender(board) {
	if (!board)
	return "(no board)"

	const res = [`<table class="heatmap">`]
	board.forEach(row => {
	res.push(`<tr>`)
	res.push(...row.map(space => {
	return `<td style="background-color: red; opacity: ${space}"></td>`
	}))
	res.push(`</tr>`)
	})
	res.push(...'</table>\n')
	return res.join('')
	}

	(() => {
	const ships = SHIPS.slice(0, 4)
	const boards = generateBoards(boardEmpty(7), ships)
	let b = boards[parseInt(Math.random() * boards.length)]
	let heatmap
	let count = 0
	while (b) {
	document.write(boardRender(b))
	const x = playProbabilistic(b, ships)
	if (!x)
	break
	b = x[0]
	heatmap = x[1]
	document.write(heatmapRender(heatmap))
	document.write("<br />")
	if (count++ > 100)
	break
	}

	})()