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160 changes: 96 additions & 64 deletions src/main/kotlin/g1601_1700/s1659_maximize_grid_happiness/Solution.kt
Original file line number Diff line number Diff line change
@@ -1,80 +1,112 @@
package g1601_1700.s1659_maximize_grid_happiness

// #Hard #Dynamic_Programming #Bit_Manipulation #Bitmask #Memoization
// #2023_06_15_Time_181_ms_(100.00%)_Space_36.9_MB_(100.00%)
// #2025_04_04_Time_44_ms_(100.00%)_Space_56.67_MB_(100.00%)

class Solution {
private var m = 0
private var n = 0
private lateinit var dp: Array<Array<Array<Array<IntArray>>>>
private val notPlace = 0
private val intro = 1
private val extro = 2
private var mod = 0
import kotlin.math.max

fun getMaxGridHappiness(m: Int, n: Int, introvertsCount: Int, extrovertsCount: Int): Int {
this.m = m
this.n = n
val numOfState = Math.pow(3.0, n.toDouble()).toInt()
dp = Array(m) {
Array(n) {
Array(introvertsCount + 1) {
Array(extrovertsCount + 1) { IntArray(numOfState) }
}
}
@Suppress("kotlin:S107")
class Solution {
private fun maxHappiness(
index: Int,
m: Int,
n: Int,
introverts: Int,
extroverts: Int,
board: Int,
dp: Array<Array<Array<IntArray>>>,
tmask: Int,
): Int {
if (index >= m * n) {
return 0
}
if (dp[index][introverts][extroverts][board] != 0) {
return dp[index][introverts][extroverts][board]
}
var introScore = -1
var extroScore = -1
if (introverts > 0) {
val newBoard = ((board shl 2) or INTROVERT) and tmask
introScore =
(
120 +
adjust(board, INTROVERT, n, index) +
maxHappiness(
index + 1,
m,
n,
introverts - 1,
extroverts,
newBoard,
dp,
tmask,
)
)
}
if (extroverts > 0) {
val newBoard = ((board shl 2) or EXTROVERT) and tmask
extroScore =
(
40 +
adjust(board, EXTROVERT, n, index) +
maxHappiness(
index + 1,
m,
n,
introverts,
extroverts - 1,
newBoard,
dp,
tmask,
)
)
}
mod = numOfState / 3
return dfs(0, 0, introvertsCount, extrovertsCount, 0)
val newBoard = ((board shl 2) or NONE) and tmask
val skip = maxHappiness(index + 1, m, n, introverts, extroverts, newBoard, dp, tmask)
dp[index][introverts][extroverts][board] =
max(skip, max(introScore, extroScore))
return dp[index][introverts][extroverts][board]
}

private fun dfs(x: Int, y: Int, ic: Int, ec: Int, state: Int): Int {
if (x == m) {
return 0
} else if (y == n) {
return dfs(x + 1, 0, ic, ec, state)
}
if (dp[x][y][ic][ec][state] != 0) {
return dp[x][y][ic][ec][state]
private fun adjust(board: Int, thisIs: Int, col: Int, index: Int): Int {
val shiftBy = 2 * (col - 1)
var left = board and 0x03
if (index % col == 0) {
left = NONE
}
// 1 - not place
var max = dfs(x, y + 1, ic, ec, state % mod * 3)
val up = state / mod
val left = state % 3
// 2 - place intro
if (ic > 0) {
var temp = 120
if (x > 0 && up != notPlace) {
temp -= 30
temp += if (up == intro) -30 else 20
val up = (board shr shiftBy) and 0x03
val combination = intArrayOf(left, up)
var adjustment = 0
for (neighbor in combination) {
if (neighbor == NONE) {
continue
}
if (y > 0 && left != notPlace) {
temp -= 30
temp += if (left == intro) -30 else 20
if (neighbor == INTROVERT && thisIs == INTROVERT) {
adjustment -= 60
} else if (neighbor == INTROVERT && thisIs == EXTROVERT) {
adjustment -= 10
} else if (neighbor == EXTROVERT && thisIs == INTROVERT) {
adjustment -= 10
} else if (neighbor == EXTROVERT && thisIs == EXTROVERT) {
adjustment += 40
}
var nextState = state
nextState %= mod
nextState *= 3
nextState += intro
max = Math.max(max, temp + dfs(x, y + 1, ic - 1, ec, nextState))
}
// 3 - place extro
if (ec > 0) {
var temp = 40
if (x > 0 && up != notPlace) {
temp += 20
temp += if (up == intro) -30 else 20
}
if (y > 0 && left != notPlace) {
temp += 20
temp += if (left == intro) -30 else 20
return adjustment
}

fun getMaxGridHappiness(m: Int, n: Int, introvertsCount: Int, extrovertsCount: Int): Int {
val dp = Array<Array<Array<IntArray>>>(m * n) {
Array<Array<IntArray>>(introvertsCount + 1) {
Array<IntArray>(extrovertsCount + 1) { IntArray((1 shl (2 * n))) }
}
var nextState = state
nextState %= mod
nextState *= 3
nextState += extro
max = Math.max(max, temp + dfs(x, y + 1, ic, ec - 1, nextState))
}
dp[x][y][ic][ec][state] = max
return max
val tmask = (1 shl (2 * n)) - 1
return maxHappiness(0, m, n, introvertsCount, extrovertsCount, 0, dp, tmask)
}

companion object {
private const val NONE = 0
private const val INTROVERT = 1
private const val EXTROVERT = 2
}
}
Original file line number Diff line number Diff line change
@@ -1,103 +1,106 @@
package g3401_3500.s3435_frequencies_of_shortest_supersequences

// #Hard #Array #String #Bit_Manipulation #Graph #Enumeration #Topological_Sort
// #2025_01_29_Time_35_ms_(100.00%)_Space_43.62_MB_(100.00%)
// #2025_04_04_Time_275_ms_(100.00%)_Space_49.81_MB_(100.00%)

class Solution {
private var m = 0
private var forcedMask = 0
private lateinit var adj: IntArray
private val idxToChar = CharArray(26)
private val charToIdx = IntArray(26)
private val used = BooleanArray(26)
private var min = Int.Companion.MAX_VALUE
private var lists: MutableList<IntArray> = ArrayList<IntArray>()

fun supersequences(words: Array<String>): List<List<Int>> {
charToIdx.fill(-1)
for (w in words) {
used[w[0].code - 'a'.code] = true
used[w[1].code - 'a'.code] = true
val pairs = Array<BooleanArray>(26) { BooleanArray(26) }
val counts = IntArray(26)
for (word in words) {
val a = word[0].code - 'a'.code
val b = word[1].code - 'a'.code
if (!pairs[a][b]) {
pairs[a][b] = true
counts[a]++
counts[b]++
}
}
// Map each used letter to an index [0..m-1]
for (c in 0..25) {
if (used[c]) {
idxToChar[m] = (c + 'a'.code).toChar()
charToIdx[c] = m++
val links: Array<ArrayList<Int>> = Array<ArrayList<Int>>(26) { ArrayList<Int>() }
val counts1 = IntArray(26)
val sides = IntArray(26)
for (i in 0..25) {
for (j in 0..25) {
if (pairs[i][j]) {
links[i].add(j)
counts1[j]++
sides[i] = sides[i] or 1
sides[j] = sides[j] or 2
}
}
}
adj = IntArray(m)
// Build graph and record forced duplicates
for (w in words) {
val u = charToIdx[w[0].code - 'a'.code]
val v = charToIdx[w[1].code - 'a'.code]
if (u == v) {
forcedMask = forcedMask or (1 shl u)
val arr = IntArray(26)
for (i in 0..25) {
if (counts[i] <= 1) {
arr[i] = counts[i]
} else if (counts1[i] == 0 || sides[i] != 3) {
arr[i] = 1
} else if (pairs[i][i]) {
arr[i] = 2
} else {
adj[u] = adj[u] or (1 shl v)
arr[i] = -1
}
}
// Try all supersets of forcedMask; keep those that kill all cycles
var best = 9999
val goodSets: MutableList<Int> = ArrayList<Int>()
for (s in 0..<(1 shl m)) {
if ((s and forcedMask) != forcedMask) {
continue
}
val size = Integer.bitCount(s)
if (size <= best && !hasCycle(s)) {
if (size < best) {
best = size
goodSets.clear()
}
goodSets.add(s)
dfs(links, 0, arr, IntArray(26), 0)
val res: MutableList<MutableList<Int>> = ArrayList<MutableList<Int>>()
for (arr1 in lists) {
val list: MutableList<Int> = ArrayList<Int>()
for (n in arr1) {
list.add(n)
}
res.add(list)
}
return res
}

private fun dfs(links: Array<ArrayList<Int>>, i: Int, arr1: IntArray, arr: IntArray, n: Int) {
if (n > min) {
return
}
// Build distinct freq arrays from these sets
val seen: MutableSet<String> = HashSet<String>()
val ans: MutableList<MutableList<Int>> = ArrayList<MutableList<Int>>()
for (s in goodSets) {
val freq = IntArray(26)
for (i in 0..<m) {
freq[idxToChar[i].code - 'a'.code] = if ((s and (1 shl i)) != 0) 2 else 1
if (i == 26) {
if (!chk(links, arr)) {
return
}
val key = freq.contentToString()
if (seen.add(key)) {
val tmp: MutableList<Int> = ArrayList<Int>()
for (f in freq) {
tmp.add(f)
}
ans.add(tmp)
if (n < min) {
min = n
lists = ArrayList<IntArray>()
lists.add(arr.clone())
} else if (n == min) {
lists.add(arr.clone())
}
return
}
if (arr1[i] >= 0) {
arr[i] = arr1[i]
dfs(links, i + 1, arr1, arr, n + arr1[i])
} else {
arr[i] = 1
dfs(links, i + 1, arr1, arr, n + 1)
arr[i] = 2
dfs(links, i + 1, arr1, arr, n + 2)
}
return ans
}

private fun hasCycle(mask: Int): Boolean {
val color = IntArray(m)
for (i in 0..<m) {
if (((mask shr i) and 1) == 0 && color[i] == 0 && dfs(i, color, mask)) {
return true
private fun chk(links: Array<ArrayList<Int>>, arr: IntArray): Boolean {
for (i in 0..25) {
if (arr[i] == 1 && dfs1(links, arr, BooleanArray(26), i)) {
return false
}
}
return false
return true
}

private fun dfs(u: Int, color: IntArray, mask: Int): Boolean {
color[u] = 1
var nxt = adj[u]
while (nxt != 0) {
val v = Integer.numberOfTrailingZeros(nxt)
nxt = nxt and (nxt - 1)
if (((mask shr v) and 1) == 1) {
continue
}
if (color[v] == 1) {
return true
}
if (color[v] == 0 && dfs(v, color, mask)) {
private fun dfs1(links: Array<ArrayList<Int>>, arr: IntArray, seens: BooleanArray, i: Int): Boolean {
seens[i] = true
for (next in links[i]) {
if (arr[next] == 1 && (seens[next] || dfs1(links, arr, seens, next))) {
return true
}
}
color[u] = 2
seens[i] = false
return false
}
}
Original file line number Diff line number Diff line change
Expand Up @@ -12,11 +12,11 @@ internal class SolutionTest {
equalTo(
listOf(
listOf(
2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0,
),
listOf(
1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0,
),
),
Expand Down