From 83924694745d4f25affa56844bd417ec7e48e43d Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Wed, 16 Nov 2022 10:03:40 +0800
Subject: [PATCH] =?UTF-8?q?#2993.=20=E3=80=8CAHOI2018=20=E5=88=9D=E4=B8=AD?=
 =?UTF-8?q?=E7=BB=84=E3=80=8D=E6=A0=B9=E5=BC=8F=E5=8C=96=E7=AE=80?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
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https://loj.ac/s/1633416
---
 LibreOJ/2993/2993.cpp        | 68 ++++++++++++++++++++++++++++++++++++
 LibreOJ/2993/data/cube1.ans  |  3 ++
 LibreOJ/2993/data/cube1.in   |  3 ++
 LibreOJ/2993/data/cube10.ans |  3 ++
 LibreOJ/2993/data/cube10.in  |  3 ++
 LibreOJ/2993/data/cube2.ans  |  3 ++
 LibreOJ/2993/data/cube2.in   |  3 ++
 LibreOJ/2993/data/cube3.ans  |  3 ++
 LibreOJ/2993/data/cube3.in   |  3 ++
 LibreOJ/2993/data/cube4.ans  |  3 ++
 LibreOJ/2993/data/cube4.in   |  3 ++
 LibreOJ/2993/data/cube5.ans  |  3 ++
 LibreOJ/2993/data/cube5.in   |  3 ++
 LibreOJ/2993/data/cube6.ans  |  3 ++
 LibreOJ/2993/data/cube6.in   |  3 ++
 LibreOJ/2993/data/cube7.ans  |  3 ++
 LibreOJ/2993/data/cube7.in   |  3 ++
 LibreOJ/2993/data/cube8.ans  |  3 ++
 LibreOJ/2993/data/cube8.in   |  3 ++
 LibreOJ/2993/data/cube9.ans  |  3 ++
 LibreOJ/2993/data/cube9.in   |  3 ++
 21 files changed, 128 insertions(+)
 create mode 100644 LibreOJ/2993/2993.cpp
 create mode 100644 LibreOJ/2993/data/cube1.ans
 create mode 100644 LibreOJ/2993/data/cube1.in
 create mode 100644 LibreOJ/2993/data/cube10.ans
 create mode 100644 LibreOJ/2993/data/cube10.in
 create mode 100644 LibreOJ/2993/data/cube2.ans
 create mode 100644 LibreOJ/2993/data/cube2.in
 create mode 100644 LibreOJ/2993/data/cube3.ans
 create mode 100644 LibreOJ/2993/data/cube3.in
 create mode 100644 LibreOJ/2993/data/cube4.ans
 create mode 100644 LibreOJ/2993/data/cube4.in
 create mode 100644 LibreOJ/2993/data/cube5.ans
 create mode 100644 LibreOJ/2993/data/cube5.in
 create mode 100644 LibreOJ/2993/data/cube6.ans
 create mode 100644 LibreOJ/2993/data/cube6.in
 create mode 100644 LibreOJ/2993/data/cube7.ans
 create mode 100644 LibreOJ/2993/data/cube7.in
 create mode 100644 LibreOJ/2993/data/cube8.ans
 create mode 100644 LibreOJ/2993/data/cube8.in
 create mode 100644 LibreOJ/2993/data/cube9.ans
 create mode 100644 LibreOJ/2993/data/cube9.in

diff --git a/LibreOJ/2993/2993.cpp b/LibreOJ/2993/2993.cpp
new file mode 100644
index 00000000..4198ea60
--- /dev/null
+++ b/LibreOJ/2993/2993.cpp
@@ -0,0 +1,68 @@
+#include <iostream>
+#include <cmath>
+#include <unordered_map>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 1e6 + 5;
+
+int t, p, primes[N];
+bool not_prime[N];
+std::unordered_map<long long, int> map;
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    for (int i = 2; i < N; i++) {
+        if (!not_prime[i]) primes[++p] = i;
+
+        for (int j = 1; j <= p && primes[j] * i < N; j++) {
+            not_prime[primes[j] * i] = true;
+
+            if (i % primes[j] == 0) break;
+        }
+    }
+
+    for (int i = 1; i <= p; i++) {
+        long long x = primes[i];
+        map[x * x * x] = primes[i];
+    }
+
+    cin >> t;
+
+    while (t--) {
+        long long n, ans = 1;
+
+        cin >> n;
+
+        int m = std::sqrt(std::sqrt(n));
+
+        if (map.count(n)) {
+            cout << map[n] << endl;
+
+            continue;
+        }
+
+        for (int i = 1, x = primes[i]; i <= p && x <= m && static_cast<long long>(x) * x * x <= n; x = primes[++i]) {
+            long long y = static_cast<long long>(x) * x * x;
+
+            while (n % y == 0) {
+                ans *= x;
+                n /= y;
+            }
+
+            while (n % x == 0) {
+                n /= x;
+            }
+        }
+
+        if (map.count(n)) ans *= map[n];
+
+        cout << ans << endl;
+    }
+
+    return 0;
+}
diff --git a/LibreOJ/2993/data/cube1.ans b/LibreOJ/2993/data/cube1.ans
new file mode 100644
index 00000000..d9b43198
--- /dev/null
+++ b/LibreOJ/2993/data/cube1.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:198fe5d36c0f61576985cb5bf064408924347e14646097be21f843dbcb954425
+size 28
diff --git a/LibreOJ/2993/data/cube1.in b/LibreOJ/2993/data/cube1.in
new file mode 100644
index 00000000..eb9b08da
--- /dev/null
+++ b/LibreOJ/2993/data/cube1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7daa16f60d114bcc8b098a875fea52dc71ef11b63a2c2a5ba71a4762f6d2386
+size 73
diff --git a/LibreOJ/2993/data/cube10.ans b/LibreOJ/2993/data/cube10.ans
new file mode 100644
index 00000000..d4658549
--- /dev/null
+++ b/LibreOJ/2993/data/cube10.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b101700e9742c44545aee9328d7c5a5f32183c14e03619cf39b8aeaec8e6177d
+size 54784
diff --git a/LibreOJ/2993/data/cube10.in b/LibreOJ/2993/data/cube10.in
new file mode 100644
index 00000000..98aea66a
--- /dev/null
+++ b/LibreOJ/2993/data/cube10.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3b39149426c892e893158095f3280c2dda0fae226f2c74c7f6947fb662caec0
+size 189516
diff --git a/LibreOJ/2993/data/cube2.ans b/LibreOJ/2993/data/cube2.ans
new file mode 100644
index 00000000..b6a12b3d
--- /dev/null
+++ b/LibreOJ/2993/data/cube2.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09106c46421acbbc3adb34c11c435ec3835ab23df448c3bc5bd422dec1769a7d
+size 29
diff --git a/LibreOJ/2993/data/cube2.in b/LibreOJ/2993/data/cube2.in
new file mode 100644
index 00000000..355da410
--- /dev/null
+++ b/LibreOJ/2993/data/cube2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:94056b63a8506fdc712af5c0ca16e9b836fbd8302b3eacbefc9a76c50ac6ec24
+size 73
diff --git a/LibreOJ/2993/data/cube3.ans b/LibreOJ/2993/data/cube3.ans
new file mode 100644
index 00000000..d9d994d4
--- /dev/null
+++ b/LibreOJ/2993/data/cube3.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33f6c84c50143dbfeaf6a9c4e947a3895687a78b08827aae1b3ab39fb121427f
+size 37
diff --git a/LibreOJ/2993/data/cube3.in b/LibreOJ/2993/data/cube3.in
new file mode 100644
index 00000000..c219ae17
--- /dev/null
+++ b/LibreOJ/2993/data/cube3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c961c88fc036baff1f811b100f93dca9a98738da41e2b644876bcc06e83cf66
+size 101
diff --git a/LibreOJ/2993/data/cube4.ans b/LibreOJ/2993/data/cube4.ans
new file mode 100644
index 00000000..c870bbe8
--- /dev/null
+++ b/LibreOJ/2993/data/cube4.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52d9f7cde09e10674d3ef8c1e91f51a7117118059e40e2331e060d5ff8a4f8e5
+size 38
diff --git a/LibreOJ/2993/data/cube4.in b/LibreOJ/2993/data/cube4.in
new file mode 100644
index 00000000..6fe3cb36
--- /dev/null
+++ b/LibreOJ/2993/data/cube4.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:680968250d0526b5156fbd5a1a515901bcb5daa9fff87aa24a6ba44b47cf5ae0
+size 101
diff --git a/LibreOJ/2993/data/cube5.ans b/LibreOJ/2993/data/cube5.ans
new file mode 100644
index 00000000..528c415a
--- /dev/null
+++ b/LibreOJ/2993/data/cube5.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:726a84dbe8e9b5de98431f5a8ede0ade28bcb20d36a7c6446d1498f0e3dc0e17
+size 700
diff --git a/LibreOJ/2993/data/cube5.in b/LibreOJ/2993/data/cube5.in
new file mode 100644
index 00000000..09ea6a7b
--- /dev/null
+++ b/LibreOJ/2993/data/cube5.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:696e020e03cfd707927d1765079ebddcce2ead69bb0592213c8d47a4eeebb723
+size 1851
diff --git a/LibreOJ/2993/data/cube6.ans b/LibreOJ/2993/data/cube6.ans
new file mode 100644
index 00000000..c5f7c70c
--- /dev/null
+++ b/LibreOJ/2993/data/cube6.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da710c6e85cf39ba5073cac3b2c52c0e43cc14bc3834176bdbd212203c01970b
+size 700
diff --git a/LibreOJ/2993/data/cube6.in b/LibreOJ/2993/data/cube6.in
new file mode 100644
index 00000000..863a558b
--- /dev/null
+++ b/LibreOJ/2993/data/cube6.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8bd80fa60a5ababbd2859039b21872995f3b41ff7672db07d1b8408433398fd8
+size 1848
diff --git a/LibreOJ/2993/data/cube7.ans b/LibreOJ/2993/data/cube7.ans
new file mode 100644
index 00000000..2d6efe1e
--- /dev/null
+++ b/LibreOJ/2993/data/cube7.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f56878b9e11eaffee84927263e77fb5882ab4e52508a0357c7f27c53cc5ff03c
+size 2381
diff --git a/LibreOJ/2993/data/cube7.in b/LibreOJ/2993/data/cube7.in
new file mode 100644
index 00000000..4bfcdfff
--- /dev/null
+++ b/LibreOJ/2993/data/cube7.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76ce051e0a66ec59031942413ba9475f6e6488843e8ca3abeb4251a90b8ecb01
+size 9498
diff --git a/LibreOJ/2993/data/cube8.ans b/LibreOJ/2993/data/cube8.ans
new file mode 100644
index 00000000..da73d51d
--- /dev/null
+++ b/LibreOJ/2993/data/cube8.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8fab7096b4605b9fa856cabd8ebfb53daeca45397337ac22f76d753ed493ced
+size 2378
diff --git a/LibreOJ/2993/data/cube8.in b/LibreOJ/2993/data/cube8.in
new file mode 100644
index 00000000..bf6bd73a
--- /dev/null
+++ b/LibreOJ/2993/data/cube8.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2d0e0545beab83ddf312398ce436296e32c59c890c7ec370071ce9ec71ba4fc
+size 9498
diff --git a/LibreOJ/2993/data/cube9.ans b/LibreOJ/2993/data/cube9.ans
new file mode 100644
index 00000000..cf40ed74
--- /dev/null
+++ b/LibreOJ/2993/data/cube9.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea0c35ecc10d992e36e4ba0b5aa5f0c0b11c75d4c8353bc2f18779aa0cfc7b14
+size 54727
diff --git a/LibreOJ/2993/data/cube9.in b/LibreOJ/2993/data/cube9.in
new file mode 100644
index 00000000..d278d2a0
--- /dev/null
+++ b/LibreOJ/2993/data/cube9.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81251eaf3fe0ce682f74f3e69c7c60bf6644570c2782224351d08b0986f6faeb
+size 189516