結果
| 問題 | No.2611 Count 01 |
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2024-01-07 15:06:21 |
| 言語 | Nim (2.2.0) |
| 結果 |
AC
|
| 実行時間 | 1,127 ms / 6,000 ms |
| コード長 | 9,198 bytes |
| 記録 | |
| コンパイル時間 | 3,687 ms |
| コンパイル使用メモリ | 67,488 KB |
| 実行使用メモリ | 194,612 KB |
| 最終ジャッジ日時 | 2024-09-28 03:34:11 |
| 合計ジャッジ時間 | 24,788 ms |
|
ジャッジサーバーID (参考情報) |
judge3 / judge1 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 20 |
ソースコード
import strutils, sequtils, deques, macros
type stdinReader = object
buf: Deque[string]
func newStdinReader(): stdinReader =
result = stdinReader(buf: initDeque[string]())
proc readString(sr: var stdinReader): string =
if sr.buf.len == 0:
sr.buf = stdin.readLine.split.toDeque
sr.buf.popFirst
proc readInt(sr: var stdinReader): int =
readString(sr).parseInt
func staticGet(over, i: auto): auto =
quote do:
`i`
type SegmentTree[T] = object
n: int
data: seq[T]
e: T
func init[T](n: int, e: T): SegmentTree[T] =
var n2 = 1
while n2 < n:
n2 *= 2
SegmentTree[T](n: n2, data: newSeqWith[T](n2 * 2, e), e: e)
proc build[T](st: var SegmentTree[T], a: seq[T]) =
for i, x in a:
st.data[i + st.n] = x
for i in countdown(st.n - 1, 1):
st.data[i] = st.data[i * 2] + st.data[i * 2 + 1]
proc update[T](st: var SegmentTree[T], i: int, x: T) =
var k = i + st.n
st.data[k] = x
while k > 1:
k = k div 2
st.data[k] = st.data[k * 2] + st.data[k * 2 + 1]
func query[T, U](st: SegmentTree[T], l: int, r: int, ls, rs: U): auto =
var
l = l + st.n
r = r + st.n
var
ls = ls
rs = rs
while l < r:
if (l and 1) == 1:
ls = ls + st.data[l]
l += 1
if (r and 1) == 1:
r -= 1
rs = st.data[r] + rs
l = l div 2
r = r div 2
ls + rs
const MOD = 998244353
type Vec = array[6, int]
type Matrix = array[6, array[6, int]]
func `+`(a, b: Matrix): Matrix =
# for i in 0 ..< a.len:
# for j in 0..i:
# for k in j..i:
# result[i][j] = (result[i][j] + a[i][k] * b[k][j]) mod MOD
result[0][0] = (result[0][0] + a[0][0] * b[0][0]) mod MOD
result[1][0] = (result[1][0] + a[1][0] * b[0][0]) mod MOD
result[1][0] = (result[1][0] + a[1][1] * b[1][0]) mod MOD
result[1][1] = (result[1][1] + a[1][1] * b[1][1]) mod MOD
result[2][0] = (result[2][0] + a[2][0] * b[0][0]) mod MOD
result[2][0] = (result[2][0] + a[2][1] * b[1][0]) mod MOD
result[2][0] = (result[2][0] + a[2][2] * b[2][0]) mod MOD
result[2][1] = (result[2][1] + a[2][1] * b[1][1]) mod MOD
result[2][1] = (result[2][1] + a[2][2] * b[2][1]) mod MOD
result[2][2] = (result[2][2] + a[2][2] * b[2][2]) mod MOD
result[3][0] = (result[3][0] + a[3][0] * b[0][0]) mod MOD
result[3][0] = (result[3][0] + a[3][1] * b[1][0]) mod MOD
result[3][0] = (result[3][0] + a[3][2] * b[2][0]) mod MOD
result[3][0] = (result[3][0] + a[3][3] * b[3][0]) mod MOD
result[3][1] = (result[3][1] + a[3][1] * b[1][1]) mod MOD
result[3][1] = (result[3][1] + a[3][2] * b[2][1]) mod MOD
result[3][1] = (result[3][1] + a[3][3] * b[3][1]) mod MOD
result[3][2] = (result[3][2] + a[3][2] * b[2][2]) mod MOD
result[3][2] = (result[3][2] + a[3][3] * b[3][2]) mod MOD
result[3][3] = (result[3][3] + a[3][3] * b[3][3]) mod MOD
result[4][0] = (result[4][0] + a[4][0] * b[0][0]) mod MOD
result[4][0] = (result[4][0] + a[4][1] * b[1][0]) mod MOD
result[4][0] = (result[4][0] + a[4][2] * b[2][0]) mod MOD
result[4][0] = (result[4][0] + a[4][3] * b[3][0]) mod MOD
result[4][0] = (result[4][0] + a[4][4] * b[4][0]) mod MOD
result[4][1] = (result[4][1] + a[4][1] * b[1][1]) mod MOD
result[4][1] = (result[4][1] + a[4][2] * b[2][1]) mod MOD
result[4][1] = (result[4][1] + a[4][3] * b[3][1]) mod MOD
result[4][1] = (result[4][1] + a[4][4] * b[4][1]) mod MOD
result[4][2] = (result[4][2] + a[4][2] * b[2][2]) mod MOD
result[4][2] = (result[4][2] + a[4][3] * b[3][2]) mod MOD
result[4][2] = (result[4][2] + a[4][4] * b[4][2]) mod MOD
result[4][3] = (result[4][3] + a[4][3] * b[3][3]) mod MOD
result[4][3] = (result[4][3] + a[4][4] * b[4][3]) mod MOD
result[4][4] = (result[4][4] + a[4][4] * b[4][4]) mod MOD
result[5][0] = (result[5][0] + a[5][0] * b[0][0]) mod MOD
result[5][0] = (result[5][0] + a[5][1] * b[1][0]) mod MOD
result[5][0] = (result[5][0] + a[5][2] * b[2][0]) mod MOD
result[5][0] = (result[5][0] + a[5][3] * b[3][0]) mod MOD
result[5][0] = (result[5][0] + a[5][4] * b[4][0]) mod MOD
result[5][0] = (result[5][0] + a[5][5] * b[5][0]) mod MOD
result[5][1] = (result[5][1] + a[5][1] * b[1][1]) mod MOD
result[5][1] = (result[5][1] + a[5][2] * b[2][1]) mod MOD
result[5][1] = (result[5][1] + a[5][3] * b[3][1]) mod MOD
result[5][1] = (result[5][1] + a[5][4] * b[4][1]) mod MOD
result[5][1] = (result[5][1] + a[5][5] * b[5][1]) mod MOD
result[5][2] = (result[5][2] + a[5][2] * b[2][2]) mod MOD
result[5][2] = (result[5][2] + a[5][3] * b[3][2]) mod MOD
result[5][2] = (result[5][2] + a[5][4] * b[4][2]) mod MOD
result[5][2] = (result[5][2] + a[5][5] * b[5][2]) mod MOD
result[5][3] = (result[5][3] + a[5][3] * b[3][3]) mod MOD
result[5][3] = (result[5][3] + a[5][4] * b[4][3]) mod MOD
result[5][3] = (result[5][3] + a[5][5] * b[5][3]) mod MOD
result[5][4] = (result[5][4] + a[5][4] * b[4][4]) mod MOD
result[5][4] = (result[5][4] + a[5][5] * b[5][4]) mod MOD
result[5][5] = (result[5][5] + a[5][5] * b[5][5]) mod MOD
func `+`(a: Vec, b: Matrix): Vec =
# for i in 0 ..< a.len:
# for j in 0..i:
# result[j] = (result[j] + a[i] * b[i][j]) mod MOD
result[0] = (result[0] + a[0] * b[0][0]) mod MOD
result[0] = (result[0] + a[1] * b[1][0]) mod MOD
result[1] = (result[1] + a[1] * b[1][1]) mod MOD
result[0] = (result[0] + a[2] * b[2][0]) mod MOD
result[1] = (result[1] + a[2] * b[2][1]) mod MOD
result[2] = (result[2] + a[2] * b[2][2]) mod MOD
result[0] = (result[0] + a[3] * b[3][0]) mod MOD
result[1] = (result[1] + a[3] * b[3][1]) mod MOD
result[2] = (result[2] + a[3] * b[3][2]) mod MOD
result[3] = (result[3] + a[3] * b[3][3]) mod MOD
result[0] = (result[0] + a[4] * b[4][0]) mod MOD
result[1] = (result[1] + a[4] * b[4][1]) mod MOD
result[2] = (result[2] + a[4] * b[4][2]) mod MOD
result[3] = (result[3] + a[4] * b[4][3]) mod MOD
result[4] = (result[4] + a[4] * b[4][4]) mod MOD
result[0] = (result[0] + a[5] * b[5][0]) mod MOD
result[1] = (result[1] + a[5] * b[5][1]) mod MOD
result[2] = (result[2] + a[5] * b[5][2]) mod MOD
result[3] = (result[3] + a[5] * b[5][3]) mod MOD
result[4] = (result[4] + a[5] * b[5][4]) mod MOD
result[5] = (result[5] + a[5] * b[5][5]) mod MOD
func `+`(a: Matrix, b: Vec): Vec =
# for i in 0 ..< a.len:
# for j in 0..i:
# result[i] = (result[i] + a[i][j] * b[j]) mod MOD
result[0] = (result[0] + a[0][0] * b[0]) mod MOD
result[1] = (result[1] + a[1][0] * b[0]) mod MOD
result[1] = (result[1] + a[1][1] * b[1]) mod MOD
result[2] = (result[2] + a[2][0] * b[0]) mod MOD
result[2] = (result[2] + a[2][1] * b[1]) mod MOD
result[2] = (result[2] + a[2][2] * b[2]) mod MOD
result[3] = (result[3] + a[3][0] * b[0]) mod MOD
result[3] = (result[3] + a[3][1] * b[1]) mod MOD
result[3] = (result[3] + a[3][2] * b[2]) mod MOD
result[3] = (result[3] + a[3][3] * b[3]) mod MOD
result[4] = (result[4] + a[4][0] * b[0]) mod MOD
result[4] = (result[4] + a[4][1] * b[1]) mod MOD
result[4] = (result[4] + a[4][2] * b[2]) mod MOD
result[4] = (result[4] + a[4][3] * b[3]) mod MOD
result[4] = (result[4] + a[4][4] * b[4]) mod MOD
result[5] = (result[5] + a[5][0] * b[0]) mod MOD
result[5] = (result[5] + a[5][1] * b[1]) mod MOD
result[5] = (result[5] + a[5][2] * b[2]) mod MOD
result[5] = (result[5] + a[5][3] * b[3]) mod MOD
result[5] = (result[5] + a[5][4] * b[4]) mod MOD
result[5] = (result[5] + a[5][5] * b[5]) mod MOD
func `+`(a, b: Vec): int =
# for i in 0..<a.len:
# result = (result + a[i] * b[i]) mod MOD
result = (result + a[0] * b[0]) mod MOD
result = (result + a[1] * b[1]) mod MOD
result = (result + a[2] * b[2]) mod MOD
result = (result + a[3] * b[3]) mod MOD
result = (result + a[4] * b[4]) mod MOD
result = (result + a[5] * b[5]) mod MOD
let node: array[2, Matrix] = [
[
[1, 0, 0, 0, 0, 0],
[1, 1, 0, 0, 0, 0],
[1, 1, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0],
[0, 0, 0, 1, 1, 0],
[0, 0, 0, 1, 1, 1],
],
[
[1, 0, 0, 0, 0, 0],
[1, 1, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0],
[1, 1, 0, 1, 0, 0],
[0, 0, 1, 0, 1, 0],
[0, 0, 1, 0, 1, 1],
]
]
let identity: Matrix = [
[1, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 1],
]
var reader = newStdinReader()
let (n, q) = (reader.readInt, reader.readInt)
let s = reader.readString
var sSeq = s.mapIt(int(it) - int('0'))
var st = init[Matrix](n, identity)
st.build(sSeq.mapIt(node[it]))
for _ in 0..<q:
let t = reader.readInt
if t == 1:
let i = reader.readInt - 1
sSeq[i] = 1 - sSeq[i]
st.update(i, node[sSeq[i]])
else:
let (l, r) = (reader.readInt - 1, reader.readInt)
let ans = st.query(l, r, [0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0])
echo ans