From 94feba5a445e7e9fb4d6cf33bcd1c5eb917fd15b Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Mon, 6 Jun 2022 16:03:39 +0800
Subject: [PATCH] =?UTF-8?q?#2108.=20=E3=80=8CJLOI2015=E3=80=8D=E8=A3=85?=
 =?UTF-8?q?=E5=A4=87=E8=B4=AD=E4=B9=B0?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://loj.ac/s/1476841
---
 LibreOJ/2108/2108.cpp            | 76 ++++++++++++++++++++++++++++++++
 LibreOJ/2108/data/purchase1.in   |  3 ++
 LibreOJ/2108/data/purchase1.out  |  3 ++
 LibreOJ/2108/data/purchase10.in  |  3 ++
 LibreOJ/2108/data/purchase10.out |  3 ++
 LibreOJ/2108/data/purchase2.in   |  3 ++
 LibreOJ/2108/data/purchase2.out  |  3 ++
 LibreOJ/2108/data/purchase3.in   |  3 ++
 LibreOJ/2108/data/purchase3.out  |  3 ++
 LibreOJ/2108/data/purchase4.in   |  3 ++
 LibreOJ/2108/data/purchase4.out  |  3 ++
 LibreOJ/2108/data/purchase5.in   |  3 ++
 LibreOJ/2108/data/purchase5.out  |  3 ++
 LibreOJ/2108/data/purchase6.in   |  3 ++
 LibreOJ/2108/data/purchase6.out  |  3 ++
 LibreOJ/2108/data/purchase7.in   |  3 ++
 LibreOJ/2108/data/purchase7.out  |  3 ++
 LibreOJ/2108/data/purchase8.in   |  3 ++
 LibreOJ/2108/data/purchase8.out  |  3 ++
 LibreOJ/2108/data/purchase9.in   |  3 ++
 LibreOJ/2108/data/purchase9.out  |  3 ++
 21 files changed, 136 insertions(+)
 create mode 100644 LibreOJ/2108/2108.cpp
 create mode 100644 LibreOJ/2108/data/purchase1.in
 create mode 100644 LibreOJ/2108/data/purchase1.out
 create mode 100644 LibreOJ/2108/data/purchase10.in
 create mode 100644 LibreOJ/2108/data/purchase10.out
 create mode 100644 LibreOJ/2108/data/purchase2.in
 create mode 100644 LibreOJ/2108/data/purchase2.out
 create mode 100644 LibreOJ/2108/data/purchase3.in
 create mode 100644 LibreOJ/2108/data/purchase3.out
 create mode 100644 LibreOJ/2108/data/purchase4.in
 create mode 100644 LibreOJ/2108/data/purchase4.out
 create mode 100644 LibreOJ/2108/data/purchase5.in
 create mode 100644 LibreOJ/2108/data/purchase5.out
 create mode 100644 LibreOJ/2108/data/purchase6.in
 create mode 100644 LibreOJ/2108/data/purchase6.out
 create mode 100644 LibreOJ/2108/data/purchase7.in
 create mode 100644 LibreOJ/2108/data/purchase7.out
 create mode 100644 LibreOJ/2108/data/purchase8.in
 create mode 100644 LibreOJ/2108/data/purchase8.out
 create mode 100644 LibreOJ/2108/data/purchase9.in
 create mode 100644 LibreOJ/2108/data/purchase9.out

diff --git a/LibreOJ/2108/2108.cpp b/LibreOJ/2108/2108.cpp
new file mode 100644
index 00000000..2596f854
--- /dev/null
+++ b/LibreOJ/2108/2108.cpp
@@ -0,0 +1,76 @@
+#include <iostream>
+#include <algorithm>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 505;
+const double eps = 1e-4;
+
+int n, m, ans, sum;
+double p[N][N];
+
+struct node {
+    int w;
+    double v[N];
+
+    double& operator[](const int& _i) {
+        return v[_i];
+    }
+
+    bool operator<(const node& _y) const {
+        return w < _y.w;
+    }
+} q[N];
+
+inline bool insert(double* a) {
+    for (int i = 1; i <= m; i++) {
+        if (std::abs(a[i]) > eps) {
+            if (std::abs(p[i][i]) > eps) {  // > 0
+                double k = a[i] / p[i][i];
+                for (int j = i; j <= m; j++) {
+                    a[j] -= k * p[i][j];
+                }
+            } else {
+                for (int j = i; j <= m; j++) {
+                    p[i][j] = a[j];
+                }
+
+                return true;
+            }
+        }
+    }
+
+    return false;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> n >> m;
+
+    for (int i = 1; i <= n; i++) {
+        for (int j = 1; j <= m; j++) {
+            cin >> q[i][j];
+        }
+    }
+
+    for (int i = 1; i <= n; i++) {
+        cin >> q[i].w;
+    }
+
+    std::sort(q + 1, q + 1 + n);
+
+    for (int i = 1; i <= n; i++) {
+        if (insert(q[i].v)) {
+            ans++;
+            sum += q[i].w;
+        }
+    }
+
+    cout << ans << ' ' << sum << endl;
+
+    return 0;
+}
diff --git a/LibreOJ/2108/data/purchase1.in b/LibreOJ/2108/data/purchase1.in
new file mode 100644
index 00000000..ef6837c7
--- /dev/null
+++ b/LibreOJ/2108/data/purchase1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa35af6260f3903a6772ffb25a857c84325efd7fa2b3efd261b1dfa3e972374e
+size 247
diff --git a/LibreOJ/2108/data/purchase1.out b/LibreOJ/2108/data/purchase1.out
new file mode 100644
index 00000000..5b9ff62a
--- /dev/null
+++ b/LibreOJ/2108/data/purchase1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be8cbbda669784f26cee5fb6304858b03e84083b7b9f71af83e18d842926ab13
+size 7
diff --git a/LibreOJ/2108/data/purchase10.in b/LibreOJ/2108/data/purchase10.in
new file mode 100644
index 00000000..5dc0dbaf
--- /dev/null
+++ b/LibreOJ/2108/data/purchase10.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b89d8a5d98a6f168d80ac0b46e3dc08f75aca75717e5e241c2828cf8544abdec
+size 1047747
diff --git a/LibreOJ/2108/data/purchase10.out b/LibreOJ/2108/data/purchase10.out
new file mode 100644
index 00000000..67fc654e
--- /dev/null
+++ b/LibreOJ/2108/data/purchase10.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7b2d4ecf9a4ffd9a28266319d0de9cbd424096f6cdb44e92c306ba027a681e2
+size 12
diff --git a/LibreOJ/2108/data/purchase2.in b/LibreOJ/2108/data/purchase2.in
new file mode 100644
index 00000000..029a88c0
--- /dev/null
+++ b/LibreOJ/2108/data/purchase2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd12ae608076972b1deb5943d30ef2e8fbe74308f107ee0d5d8ba23badba8942
+size 642
diff --git a/LibreOJ/2108/data/purchase2.out b/LibreOJ/2108/data/purchase2.out
new file mode 100644
index 00000000..e4ed6b10
--- /dev/null
+++ b/LibreOJ/2108/data/purchase2.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4af616494aa89131d6a9081a49b0b903c6a072be62b1799c7bb3bd384ee6ac9e
+size 9
diff --git a/LibreOJ/2108/data/purchase3.in b/LibreOJ/2108/data/purchase3.in
new file mode 100644
index 00000000..86b731a3
--- /dev/null
+++ b/LibreOJ/2108/data/purchase3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e12597a1c7f829053e7dc3cc0ed223ae8b7173459685bc89f6a0c64d3e9460c2
+size 646
diff --git a/LibreOJ/2108/data/purchase3.out b/LibreOJ/2108/data/purchase3.out
new file mode 100644
index 00000000..43fed09d
--- /dev/null
+++ b/LibreOJ/2108/data/purchase3.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cdc4674228742a59e4de1c7abb946cbaa4086873a39e1b883b00a0eafa684e8
+size 10
diff --git a/LibreOJ/2108/data/purchase4.in b/LibreOJ/2108/data/purchase4.in
new file mode 100644
index 00000000..3ca2a240
--- /dev/null
+++ b/LibreOJ/2108/data/purchase4.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6ac58f48b48676090c6cdc150552bc54404db3f93ef37b5b0418856282ead42
+size 629
diff --git a/LibreOJ/2108/data/purchase4.out b/LibreOJ/2108/data/purchase4.out
new file mode 100644
index 00000000..40759941
--- /dev/null
+++ b/LibreOJ/2108/data/purchase4.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38928f39c024c00062e32ea6f4e94d008b060b44018e40ee5ccea299e8c581bb
+size 10
diff --git a/LibreOJ/2108/data/purchase5.in b/LibreOJ/2108/data/purchase5.in
new file mode 100644
index 00000000..c96fcec1
--- /dev/null
+++ b/LibreOJ/2108/data/purchase5.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f3823d41b1be9426725ca5f4e1698cf630584471d6ee1ddb7dabd5931f15316
+size 1172
diff --git a/LibreOJ/2108/data/purchase5.out b/LibreOJ/2108/data/purchase5.out
new file mode 100644
index 00000000..500ef30c
--- /dev/null
+++ b/LibreOJ/2108/data/purchase5.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa8a136a98e3650b4fc541b6e4d0981af3ac345030dd0bbb3bbafa213a148792
+size 9
diff --git a/LibreOJ/2108/data/purchase6.in b/LibreOJ/2108/data/purchase6.in
new file mode 100644
index 00000000..4ac3b071
--- /dev/null
+++ b/LibreOJ/2108/data/purchase6.in
@@ -0,0 +1,3 @@
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+oid sha256:6c09ed38ee5d0a98cf179d7f3b565d00633c5cbaa6f71dc58a8a3418afc02128
+size 41708
diff --git a/LibreOJ/2108/data/purchase6.out b/LibreOJ/2108/data/purchase6.out
new file mode 100644
index 00000000..6b8b716a
--- /dev/null
+++ b/LibreOJ/2108/data/purchase6.out
@@ -0,0 +1,3 @@
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+size 10
diff --git a/LibreOJ/2108/data/purchase7.in b/LibreOJ/2108/data/purchase7.in
new file mode 100644
index 00000000..ffb37053
--- /dev/null
+++ b/LibreOJ/2108/data/purchase7.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8472ed1ef12aa30b3cdddbbbb8eba7263f6332bad2da66e86c9b4ffdca360e57
+size 42115
diff --git a/LibreOJ/2108/data/purchase7.out b/LibreOJ/2108/data/purchase7.out
new file mode 100644
index 00000000..48677d8f
--- /dev/null
+++ b/LibreOJ/2108/data/purchase7.out
@@ -0,0 +1,3 @@
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diff --git a/LibreOJ/2108/data/purchase8.in b/LibreOJ/2108/data/purchase8.in
new file mode 100644
index 00000000..2d6bbb7c
--- /dev/null
+++ b/LibreOJ/2108/data/purchase8.in
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diff --git a/LibreOJ/2108/data/purchase8.out b/LibreOJ/2108/data/purchase8.out
new file mode 100644
index 00000000..c8fc0447
--- /dev/null
+++ b/LibreOJ/2108/data/purchase8.out
@@ -0,0 +1,3 @@
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+size 12
diff --git a/LibreOJ/2108/data/purchase9.in b/LibreOJ/2108/data/purchase9.in
new file mode 100644
index 00000000..b912cec4
--- /dev/null
+++ b/LibreOJ/2108/data/purchase9.in
@@ -0,0 +1,3 @@
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diff --git a/LibreOJ/2108/data/purchase9.out b/LibreOJ/2108/data/purchase9.out
new file mode 100644
index 00000000..f9930c00
--- /dev/null
+++ b/LibreOJ/2108/data/purchase9.out
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