結果
問題 | No.1099 Range Square Sum |
ユーザー | shotoyoo |
提出日時 | 2021-06-21 23:55:26 |
言語 | PyPy3 (7.3.15) |
結果 |
RE
|
実行時間 | - |
コード長 | 5,393 bytes |
コンパイル時間 | 234 ms |
コンパイル使用メモリ | 82,316 KB |
実行使用メモリ | 69,008 KB |
最終ジャッジ日時 | 2024-06-22 22:58:11 |
合計ジャッジ時間 | 3,289 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge4 |
(要ログイン)
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 | RE | - |
testcase_01 | RE | - |
testcase_02 | RE | - |
testcase_03 | RE | - |
testcase_04 | RE | - |
testcase_05 | RE | - |
testcase_06 | RE | - |
testcase_07 | RE | - |
testcase_08 | RE | - |
testcase_09 | RE | - |
testcase_10 | RE | - |
testcase_11 | RE | - |
testcase_12 | RE | - |
testcase_13 | RE | - |
testcase_14 | RE | - |
testcase_15 | RE | - |
testcase_16 | RE | - |
testcase_17 | RE | - |
testcase_18 | RE | - |
testcase_19 | RE | - |
testcase_20 | RE | - |
testcase_21 | RE | - |
testcase_22 | RE | - |
testcase_23 | RE | - |
testcase_24 | RE | - |
testcase_25 | RE | - |
testcase_26 | RE | - |
testcase_27 | RE | - |
testcase_28 | RE | - |
testcase_29 | RE | - |
testcase_30 | RE | - |
ソースコード
import sys input = lambda : sys.stdin.readline().rstrip() sys.setrecursionlimit(2*10**5+10) write = lambda x: sys.stdout.write(x+"\n") debug = lambda x: sys.stderr.write(x+"\n") writef = lambda x: print("{:.12f}".format(x)) ### 遅延評価セグメント木(はやい非DFS) class LSG: def __init__(self,n, a=None): self._n = n self._ninf = ninf self._op = op self._mapping = mapping self._composition = composition self._f0 = f0 x = 0 while (1 << x) < self._n: x += 1 self._log = x self._size = 1 << self._log self._d = [self._ninf] * (2 * self._size) self._lz = [self._f0] * self._size if a is not None: for i in range(self._n): self._d[self._size + i] = a[i] for i in range(self._size - 1, 0, -1): self._update(i) def check(self): return [self.query_point(p) for p in range(self._n)] def update_point(self, p, x): p += self._size for i in range(self._log, 0, -1): self._push(p >> i) self._d[p] = x for i in range(1, self._log + 1): self._update(p >> i) def query_point(self, p): p += self._size for i in range(self._log, 0, -1): self._push(p >> i) return self._d[p] def query(self, left, right): if left == right: return self._ninf left += self._size right += self._size for i in range(self._log, 0, -1): if ((left >> i) << i) != left: self._push(left >> i) if ((right >> i) << i) != right: self._push(right >> i) sml = self._ninf smr = self._ninf while left < right: if left & 1: sml = self._op(sml, self._d[left]) left += 1 if right & 1: right -= 1 smr = self._op(self._d[right], smr) left >>= 1 right >>= 1 return self._op(sml, smr) def query_all(self): return self._d[1] def update(self, left, right, f): if right is None: p = left p += self._size for i in range(self._log, 0, -1): self._push(p >> i) self._d[p] = self._mapping(f, self._d[p]) for i in range(1, self._log + 1): self._update(p >> i) else: if left == right: return left += self._size right += self._size for i in range(self._log, 0, -1): if ((left >> i) << i) != left: self._push(left >> i) if ((right >> i) << i) != right: self._push((right - 1) >> i) l2 = left r2 = right while left < right: if left & 1: self._all_apply(left, f) left += 1 if right & 1: right -= 1 self._all_apply(right, f) left >>= 1 right >>= 1 left = l2 right = r2 for i in range(1, self._log + 1): if ((left >> i) << i) != left: self._update(left >> i) if ((right >> i) << i) != right: self._update((right - 1) >> i) def _update(self, k): self._d[k] = self._op(self._d[2 * k], self._d[2 * k + 1]) def _all_apply(self, k, f) -> None: self._d[k] = self._mapping(f, self._d[k]) if k < self._size: self._lz[k] = self._composition(f, self._lz[k]) def _push(self, k): self._all_apply(2 * k, self._lz[k]) self._all_apply(2 * k + 1, self._lz[k]) self._lz[k] = self._f0 def loc(self, l, r): return self._lz[self._size+l : self._size+r] def t2i(*vs): n = len(vs)+1 nvs = [1] val = 1 for v in vs[::-1]: val *= v nvs.append(val) vs = nvs[::-1] tos = "def to(%s):\n" % (",".join([f"v{i}" for i in range(n)])) tos += " val = 0\n" for i,v in enumerate(vs): tos += f" val += {v} * v{i}\n" tos += " return val" frms = f"def frm(val):\n" for i in range(n-1): frms += f" v{i},val = divmod(val, {vs[i]})\n" frms += " return %s" % ((", ".join([f"v{i}" for i in range(n-1)]) + ", val")) return tos, frms tos, frms = t2i(10**18,n) exec(tos) exec(frms) ninf = to(0,0,0) # (和, 2乗和, 個数) f0 = 0 def op(x,y): x = frm(x) y = frm(y) return to(x[0]+y[0], x[1]+y[1], x[2]+y[2]) def mapping(f,x): x = frm(x) return to( x[0] + f*x[2], x[1] + f*f*x[2] + f*x[0]*2, x[2] ) # composition: あとからきたクエリがf1に入る def composition(f1,f2): return f1+f2 n = int(input()) a = list(map(int, input().split())) sg = LSG(n, [to(v,v*v,1) for v in a]) q = int(input()) ans = [] for i in range(q): s = input().split() if s[0]=="1": _,l,r,x = map(int, s) l -= 1 r -= 1 sg.update(l,r+1,x) else: _,l,r = map(int, s) l -= 1 r -= 1 val = sg.query(l,r+1) val = frm(val) ans.append(val[1]) # ans.append(val[0]**2-2*val[1]) write("\n".join(map(str, ans)))