結果
| 問題 |
No.2040 010-1 Deletion
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2022-08-12 21:58:01 |
| 言語 | D (dmd 2.109.1) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 6,779 bytes |
| コンパイル時間 | 1,564 ms |
| コンパイル使用メモリ | 154,288 KB |
| 実行使用メモリ | 47,056 KB |
| 最終ジャッジ日時 | 2024-06-22 16:00:00 |
| 合計ジャッジ時間 | 6,226 ms |
|
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 4 |
| other | AC * 7 TLE * 1 -- * 25 |
ソースコード
import std.conv, std.functional, std.range, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons;
import core.bitop;
class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }
int readInt() { return readToken.to!int; }
long readLong() { return readToken.to!long; }
real readReal() { return readToken.to!real; }
bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }
bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }
int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; }
int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); }
int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); }
struct ModInt(uint M_) {
import std.conv : to;
alias M = M_;
uint x;
this(ModInt a) { x = a.x; }
this(uint x_) { x = x_ % M; }
this(ulong x_) { x = cast(uint)(x_ % M); }
this(int x_) { x = ((x_ %= cast(int)(M)) < 0) ? (x_ + cast(int)(M)) : x_; }
this(long x_) { x = cast(uint)(((x_ %= cast(long)(M)) < 0) ? (x_ + cast(long)(M)) : x_); }
ref ModInt opAssign(T)(inout(T) a) if (is(T == uint) || is(T == ulong) || is(T == int) || is(T == long)) { return this = ModInt(a); }
ref ModInt opOpAssign(string op, T)(T a) {
static if (is(T == ModInt)) {
static if (op == "+") { x = ((x += a.x) >= M) ? (x - M) : x; }
else static if (op == "-") { x = ((x -= a.x) >= M) ? (x + M) : x; }
else static if (op == "*") { x = cast(uint)((cast(ulong)(x) * a.x) % M); }
else static if (op == "/") { this *= a.inv(); }
else static assert(false);
return this;
} else static if (op == "^^") {
if (a < 0) return this = inv()^^(-a);
ModInt b = this, c = 1U;
for (long e = a; e; e >>= 1) { if (e & 1) c *= b; b *= b; }
return this = c;
} else {
return mixin("this " ~ op ~ "= ModInt(a)");
}
}
ModInt inv() const {
uint a = M, b = x; int y = 0, z = 1;
for (; b; ) { const q = a / b; const c = a - q * b; a = b; b = c; const w = y - cast(int)(q) * z; y = z; z = w; }
assert(a == 1); return ModInt(y);
}
ModInt opUnary(string op)() const {
static if (op == "+") { return this; }
else static if (op == "-") { ModInt a; a.x = x ? (M - x) : 0U; return a; }
else static assert(false);
}
ModInt opBinary(string op, T)(T a) const { return mixin("ModInt(this) " ~ op ~ "= a"); }
ModInt opBinaryRight(string op, T)(T a) const { return mixin("ModInt(a) " ~ op ~ "= this"); }
bool opCast(T: bool)() const { return (x != 0U); }
string toString() const { return x.to!string; }
}
enum MO = 998244353;
alias Mint = ModInt!MO;
void main() {
/*
debug {{
bool greedy(in string s) {
const n = cast(int)(s.length);
int[] xs, ys;
for (int i = 0, j; i < n; i = j) {
for (j = i; j < n && s[i] == s[j]; ++j) {}
if (s[i] == '0') {
foreach (k; i .. j) {
xs ~= k;
}
} else {
ys ~= i;
}
}
if (xs.length % 2 != 0) {
return false;
}
const len = xs.length / 2;
int l;
foreach (k; 0 .. len) {
for (; ; ) {
if (l == ys.length) {
return false;
}
if (xs[k] < ys[l]) {
if (ys[l] < xs[len + k]) {
++l;
break;
} else {
return false;
}
} else {
++l;
}
}
}
return true;
}
enum lim = 16;
auto dp = new bool[][lim];
dp[0] = [true];
foreach (n; 1 .. lim) {
dp[n] = new bool[1 << n];
foreach (p; 0 .. 1 << n) {
foreach (i; 0 .. n) if (p >> i & 1) {
if (dp[n - 1][(p & ((1 << i) - 1)) | (p >> (i + 1) << i)]) {
dp[n][p] = true;
}
}
foreach (i; 0 .. n - 2) if ((p >> i & 7) == 2) {
if (dp[n - 3][(p & ((1 << i) - 1)) | (p >> (i + 3) << i)]) {
dp[n][p] = true;
}
}
}
int cnt;
foreach (p; 0 .. 1 << n) {
const s = iota(n).map!(i => "01"[p >> i & 1]).array;
if (dp[n][p]) {
++cnt;
writeln(s);
}
const grd = greedy(s);
assert(dp[n][p] == grd, format("%s: %s %s", s, dp[n][p], grd));
}
stderr.writeln(n, ": ", cnt);
stderr.flush;
}
return;
}}
//*/
/*
1: 1
2: 1
3: 2
4: 4
5: 7
6: 14
7: 29
8: 57
9: 114
10: 232
11: 465
12: 931
13: 1876
14: 3767
15: 7548
*/
try {
for (; ; ) {
const N = readInt;
auto S = readToken;
auto crt = new Mint[2][][](N / 3 + 1, N / 3 + 1);
auto CRT = new Mint[2][][](N / 3 + 1, N / 3 + 1);
crt[0][0][0] = 1;
foreach (i; 0 .. N) {
auto nxt = new Mint[2][][](N / 3 + 1, N / 3 + 1);
auto NXT = new Mint[2][][](N / 3 + 1, N / 3 + 1);
const can0 = (S[i] == '?' || S[i] == '0');
const can1 = (S[i] == '?' || S[i] == '1');
foreach (a; 0 .. min(i, N / 3) + 1) foreach (b; 0 .. min(i - a, N / 3 - a) + 1) {
static foreach (s; 0 .. 2) if (crt[a][b][s]) {
// 0
if (can0 && a + 1 + b <= N / 3) {
nxt[a + 1][b][0] += crt[a][b][s];
}
// 1
if (can1) {
if (!s && a) {
nxt[a - 1][b + 1][1] += crt[a][b][s];
} else {
nxt[a][b][1] += crt[a][b][s];
}
}
// 2
if (can0 && b) {
NXT[a][b - 1][0] += crt[a][b][s];
}
}
}
foreach (a; 0 .. min(i, N / 3) + 1) foreach (b; 0 .. min(i - a, N / 3) + 1) {
static foreach (s; 0 .. 2) if (CRT[a][b][s]) {
// 1
if (can1) {
if (!s && a) {
NXT[a - 1][b + 1][1] += CRT[a][b][s];
} else {
NXT[a][b][1] += CRT[a][b][s];
}
}
// 2
if (can0 && b) {
NXT[a][b - 1][0] += CRT[a][b][s];
}
}
}
crt = nxt;
CRT = NXT;
}
Mint ans;
static foreach (s; 0 .. 2) {
ans += crt[0][0][s];
ans += CRT[0][0][s];
}
writeln(ans);
}
} catch (EOFException e) {
}
}