結果

問題 No.2006 Decrease All to Zero
ユーザー 👑 hos.lyrichos.lyric
提出日時 2022-07-09 00:11:44
言語 D
(dmd 2.109.1)
結果
WA  
(最新)
AC  
(最初)
実行時間 -
コード長 7,108 bytes
コンパイル時間 907 ms
コンパイル使用メモリ 123,164 KB
実行使用メモリ 13,624 KB
最終ジャッジ日時 2024-06-22 15:43:30
合計ジャッジ時間 21,047 ms
ジャッジサーバーID
(参考情報)
judge2 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 26 WA * 1
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

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)); }
enum INF = 10L^^18;
void main() {
try {
for (; ; ) {
const N = readInt;
auto X = new long[N];
foreach (i; 0 .. N) {
X[i] = readLong;
}
auto A = new int[N];
foreach (i; 0 .. N) {
A[i] = readInt;
}
if (N == 1) {
writeln((A[0] == 1) ? 0 : -1);
continue;
}
const maxA = A.maxElement;
const lim = 2 * maxA + 5;
auto crt = new long[][](3, lim);
foreach (s; 0 .. 3) {
crt[s][] = INF;
}
// i = 0
foreach (s; 0 .. 3) {
for (int k = s; k < lim; k += 2) if (s + (k - s) / 2 == A[0]) {
crt[s][k] = k * (X[1] - X[0]);
}
}
debug {
if (lim <= 20) {
foreach (s; 0 .. 3) {
// writefln("%s %s: %s", 0, s, crt[s]);
}
}
}
int segN = 1;
for (; segN < lim; segN <<= 1) {}
auto seg = new long[][][](3, 3, segN << 1);
foreach (s; 0 .. 3) foreach (t; 1 .. 3) {
seg[s][t][] = INF;
}
foreach (i; 1 .. N - 1) {
foreach (s; 0 .. 3) foreach (t; 1 .. 3) {
for (int k = t; k < lim; k += 2) {
seg[s][t][segN + k] = crt[s][k];
}
foreach_reverse (u; 1 .. segN) {
seg[s][t][u] = min(seg[s][t][u << 1], seg[s][t][u << 1 | 1]);
}
}
// a <= k <= b
long rangeMin(int s, int t, int a, int b) {
chmax(a, 0);
chmin(++b, lim);
long ret = INF;
for (a += segN, b += segN; a < b; a >>= 1, b >>= 1) {
if (a & 1) chmin(ret, seg[s][t][a++]);
if (b & 1) chmin(ret, seg[s][t][--b]);
}
return ret;
}
auto nxt = new long[][](3, lim);
foreach (s; 0 .. 3) {
nxt[s][] = INF;
}
//
foreach (s; 0 .. 3) {
/*
foreach (k; 1 .. lim) {
const t = (k & 1) ? 1 : 2;
for (int l = t; l < lim; l += 2) {
if (abs(l - k) / 2 <= A[i] && A[i] <= t + (k - t) / 2 + (l - t) / 2) {
chmin(nxt[s][l], crt[s][k]);
}
}
}
*/
foreach (l; 1 .. lim) {
const t = (l & 1) ? 1 : 2;
chmin(nxt[s][l], rangeMin(s, t, max(l - 2 * A[i], 2 * A[i] - l), l + 2 * A[i]));
}
}
// +L
foreach (s; 0 .. 2) {
/*
foreach (k; 2 .. lim) {
const t = ((k-1) & 1) ? 1 : 2;
for (int l = t; l < lim; l += 2) {
if (1 + abs(l - (k-1)) / 2 <= A[i] && A[i] <= 1 + t + ((k-1) - t) / 2 + (l - t) / 2) {
chmin(nxt[s + 1][l], crt[s][k]);
}
}
}
//*/
//*
foreach (l; 1 .. lim) {
const t = (l & 1) ? 1 : 2;
chmin(nxt[s + 1][l], rangeMin(s, t, max(1, l - 2 * (A[i] - 1), 2 * (A[i] - 1) - l) + 1, l + 2 * (A[i] - 1) + 1));
}
//*/
}
// +R
foreach (s; 0 .. 2) {
/*
foreach (k; 1 .. lim) {
const t = (k & 1) ? 1 : 2;
for (int l = 1 + t; l < lim; l += 2) {
if (1 + abs((l-1) - k) / 2 <= A[i] && A[i] <= 1 + t + (k - t) / 2 + ((l-1) - t) / 2) {
chmin(nxt[s + 1][l], crt[s][k]);
}
}
}
//*/
//*
foreach (l; 1 .. lim) {
const t = ((l-1) & 1) ? 1 : 2;
chmin(nxt[s + 1][l], rangeMin(s, t, max((l-1) - 2 * (A[i] - 1), 2 * (A[i] - 1) - (l-1)), (l-1) + 2 * (A[i] - 1)));
}
//*/
}
// +L, +R
{
const s = 0;
if (maxA <= 100) {
//*
foreach (k; 1 .. lim) {
const t = ((k-1) & 1) ? 1 : 2;
for (int l = 1 + t; l < lim; l += 2) {
if (2 + abs((l-1) - (k-1)) / 2 <= A[i] && A[i] <= 2 + t + ((k-1) - t) / 2 + ((l-1) - t) / 2) {
chmin(nxt[s + 2][l], crt[s][k]);
}
}
}
//*/
} else {
//*
foreach (l; 1 .. lim) {
const t = ((l-1) & 1) ? 1 : 2;
chmin(nxt[s + 2][l], rangeMin(s, t, max((l-1) - 2 * (A[i] - 2), 2 * (A[i] - 2) - (l-1)) + 1, (l-1) + 2 * (A[i] - 2) + 1));
}
//*/
}
}
crt = nxt;
foreach (s; 0 .. 3) foreach (k; 1 .. lim) {
crt[s][k] += k * (X[i + 1] - X[i]);
}
debug {
if (lim <= 20) {
foreach (s; 0 .. 3) {
// writefln("%s %s: %s", i, s, crt[s]);
}
}
}
}
// i = N - 1
long ans = INF;
foreach (s; 0 .. 3) {
for (int k = (2-s); k < lim; k += 2) if ((2-s) + (k - (2-s)) / 2 == A[N - 1]) {
chmin(ans, crt[s][k]);
debug {
if (lim <= 20) {
// writefln("%s %s %s: %s", N - 1, s, k, crt[s][k]);
}
}
}
}
writeln((ans >= INF) ? -1 : ans);
debug {
if (A.sum <= 10) {
int[] ps;
foreach (i; 0 .. N) {
foreach (_; 0 .. A[i]) {
ps ~= i;
}
}
long brt = INF;
int[] psm;
do {
bool ok = true;
long cost;
foreach (j; 0 .. cast(int)(ps.length) - 1) {
ok = ok && (ps[j] != ps[j + 1]);
cost += abs(X[ps[j + 1]] - X[ps[j]]);
}
if (ok) {
if (chmin(brt, cost)) {
psm = ps.dup;
}
}
} while (ps.nextPermutation);
writeln("brt = ", brt, "; ", psm);
assert(brt == ans);
}
}
}
} catch (EOFException e) {
}
}
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