結果
問題 | No.913 木の燃やし方 |
ユーザー | 👑 hos.lyric |
提出日時 | 2019-10-19 02:04:23 |
言語 | D (dmd 2.106.1) |
結果 |
AC
|
実行時間 | 267 ms / 3,000 ms |
コード長 | 3,436 bytes |
コンパイル時間 | 888 ms |
コンパイル使用メモリ | 108,376 KB |
実行使用メモリ | 43,264 KB |
最終ジャッジ日時 | 2023-09-04 03:10:18 |
合計ジャッジ時間 | 12,458 ms |
ジャッジサーバーID (参考情報) |
judge11 / judge13 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 1 ms
4,380 KB |
testcase_01 | AC | 2 ms
4,376 KB |
testcase_02 | AC | 1 ms
4,380 KB |
testcase_03 | AC | 4 ms
4,376 KB |
testcase_04 | AC | 4 ms
4,376 KB |
testcase_05 | AC | 5 ms
4,380 KB |
testcase_06 | AC | 3 ms
4,380 KB |
testcase_07 | AC | 3 ms
4,380 KB |
testcase_08 | AC | 254 ms
20,852 KB |
testcase_09 | AC | 250 ms
20,920 KB |
testcase_10 | AC | 250 ms
20,392 KB |
testcase_11 | AC | 251 ms
21,140 KB |
testcase_12 | AC | 267 ms
21,216 KB |
testcase_13 | AC | 248 ms
20,664 KB |
testcase_14 | AC | 236 ms
20,484 KB |
testcase_15 | AC | 233 ms
21,008 KB |
testcase_16 | AC | 240 ms
20,696 KB |
testcase_17 | AC | 214 ms
28,480 KB |
testcase_18 | AC | 214 ms
28,496 KB |
testcase_19 | AC | 196 ms
41,708 KB |
testcase_20 | AC | 228 ms
41,724 KB |
testcase_21 | AC | 251 ms
20,512 KB |
testcase_22 | AC | 256 ms
20,824 KB |
testcase_23 | AC | 244 ms
21,152 KB |
testcase_24 | AC | 198 ms
30,652 KB |
testcase_25 | AC | 165 ms
30,668 KB |
testcase_26 | AC | 235 ms
43,160 KB |
testcase_27 | AC | 224 ms
21,564 KB |
testcase_28 | AC | 237 ms
34,588 KB |
testcase_29 | AC | 256 ms
20,980 KB |
testcase_30 | AC | 252 ms
20,196 KB |
testcase_31 | AC | 189 ms
43,264 KB |
testcase_32 | AC | 209 ms
20,728 KB |
testcase_33 | AC | 216 ms
21,240 KB |
testcase_34 | AC | 223 ms
30,936 KB |
testcase_35 | AC | 222 ms
34,956 KB |
testcase_36 | AC | 235 ms
20,108 KB |
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.complex, std.container, std.math, 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; int N; long[] A; long[] ASum; long[] ans; /* ((j - i)^2 + (ASum[j] - ASum[i])) (i^2 - ASum[i]) + min_j ((j^2 + ASum[j]) + (-2 j) i) (j^2 + ASum[j]) + min_i ((i^2 - ASum[i]) + (2 i) (-j)) */ void solve(int l, int r) { if (l >= r) { return; } // l <= i <= mid, mid + 1 <= j <= r const mid = (l + r) / 2; solve(l, mid); solve(mid + 1, r); // [1]: decreasing auto q = new Tuple!(long, long)[max(mid - l + 1, r - mid + 1)]; int qb, qe; long mn; qb = qe = 0; foreach (j; mid + 1 .. r + 1) { const t = tuple(1L * j * j + ASum[j], -2L * j); for (; qe - qb >= 2 && (q[qe - 1][0] - q[qe - 2][0]) * -(t[1] - q[qe - 2][1]) >= (t[0] - q[qe - 2][0]) * -(q[qe - 1][1] - q[qe - 2][1]); --qe) {} q[qe++] = t; } debug { writeln("q[qb .. qe] = ", q[qb .. qe]); } mn = INF; foreach (i; l .. mid + 1) { for (; qe - qb >= 2 && (q[qb][0] + q[qb][1] * i >= q[qb + 1][0] + q[qb + 1][1] * i); ++qb) {} const tmp = 1L * i * i - ASum[i] + (q[qb][0] + q[qb][1] * i); debug { // writefln("i = %s, mid = %s, r = %s: %s", i, mid, r, tmp); } chmin(mn, tmp); chmin(ans[i], mn); } qb = qe = 0; foreach_reverse (i; l .. mid + 1) { const t = tuple(1L * i * i - ASum[i], 2L * i); for (; qe - qb >= 2 && (q[qe - 1][0] - q[qe - 2][0]) * -(t[1] - q[qe - 2][1]) >= (t[0] - q[qe - 2][0]) * -(q[qe - 1][1] - q[qe - 2][1]); --qe) {} q[qe++] = t; } debug { writeln("q[qb .. qe] = ", q[qb .. qe]); } mn = INF; foreach_reverse (j; mid + 1 .. r + 1) { for (; qe - qb >= 2 && (q[qb][0] + q[qb][1] * (-j) >= q[qb + 1][0] + q[qb + 1][1] * (-j)); ++qb) {} const tmp = 1L * j * j + ASum[j] + (q[qb][0] + q[qb][1] * (-j)); debug { writefln("l = %s, mid = %s, j = %s: %s", l, mid, j, tmp); } chmin(mn, tmp); chmin(ans[j - 1], mn); } } void main() { try { for (; ; ) { N = readInt(); A = new long[N]; foreach (i; 0 .. N) { A[i] = readLong(); } ASum = new long[N + 1]; foreach (i; 0 .. N) { ASum[i + 1] = ASum[i] + A[i]; } ans = new long[N]; ans[] = INF; solve(0, N); foreach (i; 0 .. N) { writeln(ans[i]); } } } catch (EOFException e) { } }