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1 | 1 | package g3601_3700.s3661_maximum_walls_destroyed_by_robots |
2 | 2 |
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3 | | -// #Hard #Weekly_Contest_464 #2025_08_25_Time_233_ms_(100.00%)_Space_75.24_MB_(100.00%) |
| 3 | +// #Hard #Weekly_Contest_464 #2025_08_29_Time_146_ms_(100.00%)_Space_93.92_MB_(16.67%) |
4 | 4 |
|
5 | 5 | import kotlin.math.max |
6 | 6 | import kotlin.math.min |
7 | 7 |
|
8 | 8 | class Solution { |
9 | 9 | fun maxWalls(robots: IntArray, distance: IntArray, walls: IntArray): Int { |
10 | | - val n = robots.size |
11 | | - // Pair robots with distances and sort |
12 | | - val rpair = Array<IntArray>(n) { IntArray(2) } |
13 | | - for (i in 0..<n) { |
14 | | - rpair[i][0] = robots[i] |
15 | | - rpair[i][1] = distance[i] |
16 | | - } |
17 | | - rpair.sortWith { a: IntArray, b: IntArray -> a[0].compareTo(b[0]) } |
18 | | - val r = IntArray(n) |
19 | | - val d = IntArray(n) |
20 | | - for (i in 0..<n) { |
21 | | - r[i] = rpair[i][0] |
22 | | - d[i] = rpair[i][1] |
23 | | - } |
24 | | - walls.sort() |
25 | | - // Count walls at robot positions |
26 | | - var base = 0 |
27 | | - for (i in 0..<n) { |
28 | | - val idx = walls.binarySearch(r[i]) |
29 | | - if (idx >= 0) { |
30 | | - base++ |
31 | | - } |
32 | | - } |
33 | | - // Tail walls |
34 | | - val leftTail = countRange(walls, r[0].toLong() - d[0], r[0] - 1L) |
35 | | - val rightTail = countRange(walls, r[n - 1] + 1L, r[n - 1].toLong() + d[n - 1]) |
36 | | - // Precompute segment ranges |
37 | | - val segs = n - 1 |
38 | | - val max = max(0, segs) |
39 | | - val a = IntArray(max) |
40 | | - val b = IntArray(max) |
41 | | - val c = IntArray(max) |
42 | | - for (i in 0..<segs) { |
43 | | - val segL = r[i] + 1 |
44 | | - val segR = r[i + 1] - 1 |
45 | | - if (segL > segR) { |
46 | | - c[i] = 0 |
47 | | - b[i] = c[i] |
48 | | - a[i] = b[i] |
49 | | - continue |
50 | | - } |
51 | | - val aHigh = min(segR, r[i] + d[i]) |
52 | | - a[i] = countRange(walls, segL.toLong(), aHigh.toLong()) |
53 | | - val bLow = max(segL, r[i + 1] - d[i + 1]) |
54 | | - b[i] = countRange(walls, bLow.toLong(), segR.toLong()) |
55 | | - val cLow = max(segL, r[i + 1] - d[i + 1]) |
56 | | - val cHigh = min(segR, r[i] + d[i]) |
57 | | - c[i] = countRange(walls, cLow.toLong(), cHigh.toLong()) |
58 | | - } |
59 | | - val dp = Array<IntArray>(n) { IntArray(2) } |
60 | | - dp[0].fill(Int.Companion.MIN_VALUE / 4) |
61 | | - // first fires left |
62 | | - dp[0][0] = base + leftTail |
63 | | - // first fires right |
64 | | - dp[0][1] = base |
65 | | - for (i in 0..<n - 1) { |
66 | | - dp[i + 1].fill(Int.Companion.MIN_VALUE / 4) |
67 | | - for (choice in 0..1) { |
68 | | - val cur = dp[i][choice] |
69 | | - if (cur < 0) { |
| 10 | + if (robots.size == 1) { |
| 11 | + var a = 0 |
| 12 | + var b = 0 |
| 13 | + for (wall in walls) { |
| 14 | + if (wall < robots[0] - distance[0] || wall > robots[0] + distance[0]) { |
70 | 15 | continue |
71 | 16 | } |
72 | | - val addIfNextLeft = if (choice == 1) a[i] + b[i] - c[i] else b[i] |
73 | | - dp[i + 1][0] = max(dp[i + 1][0], cur + addIfNextLeft) |
74 | | - val addIfNextRight = if (choice == 1) a[i] else 0 |
75 | | - dp[i + 1][1] = max(dp[i + 1][1], cur + addIfNextRight) |
| 17 | + if (wall < robots[0]) { |
| 18 | + a++ |
| 19 | + } else if (wall > robots[0]) { |
| 20 | + b++ |
| 21 | + } else { |
| 22 | + a++ |
| 23 | + b++ |
| 24 | + } |
76 | 25 | } |
| 26 | + return max(a, b) |
77 | 27 | } |
78 | | - val res: Int = if (n == 1) { |
79 | | - max(dp[0][0], dp[0][1] + rightTail) |
80 | | - } else { |
81 | | - max(dp[n - 1][0], dp[n - 1][1] + rightTail) |
| 28 | + val arr = Array<IntArray>(robots.size) { i -> intArrayOf(robots[i], distance[i]) } |
| 29 | + arr.sortWith { a: IntArray, b: IntArray -> a[0] - b[0] } |
| 30 | + walls.sort() |
| 31 | + var a = 0 |
| 32 | + var b = 0 |
| 33 | + var i = 0 |
| 34 | + var j = 0 |
| 35 | + while (i < walls.size && walls[i] < arr[j][0] - arr[j][1]) { |
| 36 | + i++ |
82 | 37 | } |
83 | | - return res |
84 | | - } |
85 | | - |
86 | | - private fun countRange(arr: IntArray, l: Long, r: Long): Int { |
87 | | - if (l > r || arr.isEmpty()) { |
88 | | - return 0 |
| 38 | + while (i < walls.size && walls[i] <= arr[j][0]) { |
| 39 | + a++ |
| 40 | + i++ |
89 | 41 | } |
90 | | - val leftIdx = lowerBound(arr, l) |
91 | | - val rightIdx = upperBound(arr, r) |
92 | | - return max(0, rightIdx - leftIdx) |
93 | | - } |
94 | | - |
95 | | - private fun lowerBound(a: IntArray, x: Long): Int { |
96 | | - var l = 0 |
97 | | - var r = a.size |
98 | | - while (l < r) { |
99 | | - val m = (l + r) ushr 1 |
100 | | - if (a[m] < x) { |
101 | | - l = m + 1 |
102 | | - } else { |
103 | | - r = m |
104 | | - } |
| 42 | + if (i > 0 && walls[i - 1] == arr[j][0]) { |
| 43 | + i-- |
105 | 44 | } |
106 | | - return l |
107 | | - } |
108 | | - |
109 | | - private fun upperBound(a: IntArray, x: Long): Int { |
110 | | - var l = 0 |
111 | | - var r = a.size |
112 | | - while (l < r) { |
113 | | - val m = (l + r) ushr 1 |
114 | | - if (a[m] <= x) { |
115 | | - l = m + 1 |
| 45 | + while (i < walls.size && walls[i] <= arr[j][0] + arr[j][1] && walls[i] < arr[j + 1][0]) { |
| 46 | + b++ |
| 47 | + i++ |
| 48 | + } |
| 49 | + j++ |
| 50 | + while (j < arr.size) { |
| 51 | + var l1 = 0 |
| 52 | + var k = i |
| 53 | + while (k < walls.size && walls[k] < arr[j][0] - arr[j][1]) { |
| 54 | + k++ |
| 55 | + } |
| 56 | + while (k < walls.size && walls[k] <= arr[j][0]) { |
| 57 | + l1++ |
| 58 | + k++ |
| 59 | + } |
| 60 | + val nextI = k |
| 61 | + var l2 = l1 |
| 62 | + k = i - 1 |
| 63 | + while (k >= 0 && walls[k] > arr[j - 1][0] && walls[k] >= arr[j][0] - arr[j][1]) { |
| 64 | + l2++ |
| 65 | + k-- |
| 66 | + } |
| 67 | + val aNext = max(a + l2, b + l1) |
| 68 | + var r = 0 |
| 69 | + val lim = |
| 70 | + if (j < arr.size - 1) { |
| 71 | + min(arr[j + 1][0], arr[j][0] + arr[j][1] + 1) |
| 72 | + } else { |
| 73 | + arr[j][0] + arr[j][1] + 1 |
| 74 | + } |
| 75 | + i = if (nextI > 0 && walls[nextI - 1] == arr[j][0]) { |
| 76 | + nextI - 1 |
116 | 77 | } else { |
117 | | - r = m |
| 78 | + nextI |
| 79 | + } |
| 80 | + while (i < walls.size && walls[i] < lim) { |
| 81 | + r++ |
| 82 | + i++ |
118 | 83 | } |
| 84 | + j++ |
| 85 | + val bNext = max(a, b) + r |
| 86 | + a = aNext |
| 87 | + b = bNext |
119 | 88 | } |
120 | | - return l |
| 89 | + return max(a, b) |
121 | 90 | } |
122 | 91 | } |
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