From e03f98b65ef9c84477d32c342b79d130be39436d Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Mon, 5 Dec 2022 20:15:31 +0800
Subject: [PATCH] =?UTF-8?q?#1788.=20=E3=80=902017.3=E9=95=BF=E4=B9=90?=
 =?UTF-8?q?=E7=9C=81=E9=80=89=E9=9B=86=E8=AE=ADDay8T3=E3=80=91=E4=BF=AE?=
 =?UTF-8?q?=E8=B7=AF?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://sjzezoj.com/submission/65457
---
 S2OJ/1788/1788.cpp          | 105 ++++++++++++++++++++++++++++++++++++
 S2OJ/1788/data/problem.conf |   3 ++
 S2OJ/1788/data/road1.in     |   3 ++
 S2OJ/1788/data/road1.out    |   3 ++
 S2OJ/1788/data/road10.in    |   3 ++
 S2OJ/1788/data/road10.out   |   3 ++
 S2OJ/1788/data/road2.in     |   3 ++
 S2OJ/1788/data/road2.out    |   3 ++
 S2OJ/1788/data/road3.in     |   3 ++
 S2OJ/1788/data/road3.out    |   3 ++
 S2OJ/1788/data/road4.in     |   3 ++
 S2OJ/1788/data/road4.out    |   3 ++
 S2OJ/1788/data/road5.in     |   3 ++
 S2OJ/1788/data/road5.out    |   3 ++
 S2OJ/1788/data/road6.in     |   3 ++
 S2OJ/1788/data/road6.out    |   3 ++
 S2OJ/1788/data/road7.in     |   3 ++
 S2OJ/1788/data/road7.out    |   3 ++
 S2OJ/1788/data/road8.in     |   3 ++
 S2OJ/1788/data/road8.out    |   3 ++
 S2OJ/1788/data/road9.in     |   3 ++
 S2OJ/1788/data/road9.out    |   3 ++
 22 files changed, 168 insertions(+)
 create mode 100644 S2OJ/1788/1788.cpp
 create mode 100644 S2OJ/1788/data/problem.conf
 create mode 100644 S2OJ/1788/data/road1.in
 create mode 100644 S2OJ/1788/data/road1.out
 create mode 100644 S2OJ/1788/data/road10.in
 create mode 100644 S2OJ/1788/data/road10.out
 create mode 100644 S2OJ/1788/data/road2.in
 create mode 100644 S2OJ/1788/data/road2.out
 create mode 100644 S2OJ/1788/data/road3.in
 create mode 100644 S2OJ/1788/data/road3.out
 create mode 100644 S2OJ/1788/data/road4.in
 create mode 100644 S2OJ/1788/data/road4.out
 create mode 100644 S2OJ/1788/data/road5.in
 create mode 100644 S2OJ/1788/data/road5.out
 create mode 100644 S2OJ/1788/data/road6.in
 create mode 100644 S2OJ/1788/data/road6.out
 create mode 100644 S2OJ/1788/data/road7.in
 create mode 100644 S2OJ/1788/data/road7.out
 create mode 100644 S2OJ/1788/data/road8.in
 create mode 100644 S2OJ/1788/data/road8.out
 create mode 100644 S2OJ/1788/data/road9.in
 create mode 100644 S2OJ/1788/data/road9.out

diff --git a/S2OJ/1788/1788.cpp b/S2OJ/1788/1788.cpp
new file mode 100644
index 00000000..675e2f29
--- /dev/null
+++ b/S2OJ/1788/1788.cpp
@@ -0,0 +1,105 @@
+#include <iostream>
+#include <cstring>
+#include <queue>
+#include <utility>
+#include <vector>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 1e4 + 5,
+          K = 11;
+const int INF = 0x3f3f3f3f;
+
+int n, m, d, f[1 << K][N], f1[1 << K];
+std::vector<std::pair<int, int>> g[N];
+
+int steiner(int s) {
+    int k = 0;
+
+    memset(f, 0x3f, sizeof(f));
+
+    for (int i = 1; i <= d; i++) {
+        std::queue<int> q;
+
+        if (s & (1 << (i - 1))) {
+            f[1 << k++][i] = 0;
+            f[1 << k++][n - i + 1] = 0;
+        }
+    }
+
+    for (int s = 0; s < 1 << k; s++) {
+        std::queue<int> q;
+        std::vector<bool> vis(n + 1);
+
+        for (int i = 1; i <= n; i++) {
+            for (int t = s & (s - 1); t; t = (t - 1) & s) {
+                f[s][i] = std::min(f[s][i], f[t][i] + f[s ^ t][i]);
+            }
+
+            if (f[s][i] != INF) {
+                q.emplace(i);
+                vis[i] = true;
+            }
+        }
+
+        // SPFA
+        while (!q.empty()) {
+            int u = q.front();
+            q.pop();
+
+            vis[u] = false;
+
+            for (auto e : g[u]) {
+                int v = e.first,
+                    w = e.second;
+
+                if (f[s][v] > f[s][u] + w) {
+                    f[s][v] = f[s][u] + w;
+
+                    if (!vis[v]) {
+                        q.emplace(v);
+                        vis[v] = true;
+                    }
+                }
+            }
+        }
+    }
+
+    int res = INF;
+
+    for (int i = 1; i <= n; i++) {
+        res = std::min(res, f[(1 << k) - 1][i]);
+    }
+
+    return res;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> n >> m >> d;
+
+    for (int i = 1, u, v, w; i <= m; i++) {
+        cin >> u >> v >> w;
+
+        g[u].emplace_back(v, w);
+        g[v].emplace_back(u, w);
+    }
+
+    memset(f1, 0x3f, sizeof(f1));
+
+    f1[0] = 0;
+
+    for (int s = 1; s < 1 << d; s++) {
+        for (int t = s; t; t = (t - 1) & s) {
+            f1[s] = std::min(f1[s], f1[s ^ t] + steiner(t));
+        }
+    }
+
+    cout << (f1[(1 << d) - 1] == INF ? -1 : f1[(1 << d) - 1]) << endl;
+
+    return 0;
+}
diff --git a/S2OJ/1788/data/problem.conf b/S2OJ/1788/data/problem.conf
new file mode 100644
index 00000000..2ec29bce
--- /dev/null
+++ b/S2OJ/1788/data/problem.conf
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a4bb845b09fdb8b0bbb04aa3c8a5938c8d74c7fb802a88178c38d1af1fff9b5
+size 179
diff --git a/S2OJ/1788/data/road1.in b/S2OJ/1788/data/road1.in
new file mode 100644
index 00000000..02ef9315
--- /dev/null
+++ b/S2OJ/1788/data/road1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c74198c5387639d3849d0043c4cb8f1c19692298a74178f35005578c79751d22
+size 136
diff --git a/S2OJ/1788/data/road1.out b/S2OJ/1788/data/road1.out
new file mode 100644
index 00000000..06d04c2c
--- /dev/null
+++ b/S2OJ/1788/data/road1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa67a169b0bba217aa0aa88a65346920c84c42447c36ba5f7ea65f422c1fe5d8
+size 2
diff --git a/S2OJ/1788/data/road10.in b/S2OJ/1788/data/road10.in
new file mode 100644
index 00000000..1e8479e2
--- /dev/null
+++ b/S2OJ/1788/data/road10.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b30b5527099d69479a5159908ff2c769a1c5c80f9abd7249937e75137f64f07b
+size 135521
diff --git a/S2OJ/1788/data/road10.out b/S2OJ/1788/data/road10.out
new file mode 100644
index 00000000..5107d3af
--- /dev/null
+++ b/S2OJ/1788/data/road10.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4e99b4db13242af68fa8ceef6e55ce95fad8503a0ac1defabecfd84812c9a1b
+size 6
diff --git a/S2OJ/1788/data/road2.in b/S2OJ/1788/data/road2.in
new file mode 100644
index 00000000..12287d80
--- /dev/null
+++ b/S2OJ/1788/data/road2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:995291025851c4dd44be005ad90e61ef94039bd5b5a2927702af4691f6253801
+size 132
diff --git a/S2OJ/1788/data/road2.out b/S2OJ/1788/data/road2.out
new file mode 100644
index 00000000..396b6814
--- /dev/null
+++ b/S2OJ/1788/data/road2.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1fb50e6c86fae1679ef3351296fd6713411a08cf8dd1790a4fd05fae8688164
+size 3
diff --git a/S2OJ/1788/data/road3.in b/S2OJ/1788/data/road3.in
new file mode 100644
index 00000000..91900ecd
--- /dev/null
+++ b/S2OJ/1788/data/road3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1912e2252ae3786eeecf3ac681c6c6954927d6c1aab92f4e6ef7f7274e494b65
+size 9706
diff --git a/S2OJ/1788/data/road3.out b/S2OJ/1788/data/road3.out
new file mode 100644
index 00000000..0c381915
--- /dev/null
+++ b/S2OJ/1788/data/road3.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13bf8b0303fde3792881f560001cd88db2d12c8d9dd78c1413acf6846d686adc
+size 4
diff --git a/S2OJ/1788/data/road4.in b/S2OJ/1788/data/road4.in
new file mode 100644
index 00000000..cedf5239
--- /dev/null
+++ b/S2OJ/1788/data/road4.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69cc72ffcac1af62df959b72d225e1e41324d3cd91f7ba897eebd93458f13c01
+size 9746
diff --git a/S2OJ/1788/data/road4.out b/S2OJ/1788/data/road4.out
new file mode 100644
index 00000000..ba4dd0d6
--- /dev/null
+++ b/S2OJ/1788/data/road4.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee3ddb7cc831f149b0acaa8fc48d3872abef4bcf5f4f2e5b832cab797cb09330
+size 4
diff --git a/S2OJ/1788/data/road5.in b/S2OJ/1788/data/road5.in
new file mode 100644
index 00000000..632e53f8
--- /dev/null
+++ b/S2OJ/1788/data/road5.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08a416b97b4273b99934dbe4783dd905f3ca8d6d221d5e9cd85393916508a9a7
+size 11161
diff --git a/S2OJ/1788/data/road5.out b/S2OJ/1788/data/road5.out
new file mode 100644
index 00000000..4a3c4217
--- /dev/null
+++ b/S2OJ/1788/data/road5.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b0f7fb8356304ab36bfd593e40eb9e0dc42ed7bafb23723d561677544105855
+size 5
diff --git a/S2OJ/1788/data/road6.in b/S2OJ/1788/data/road6.in
new file mode 100644
index 00000000..f8cefc45
--- /dev/null
+++ b/S2OJ/1788/data/road6.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfa6ead5ebf8f271ebe869b83458248216e5c6539f9a77d73ab2d371811150d0
+size 11596
diff --git a/S2OJ/1788/data/road6.out b/S2OJ/1788/data/road6.out
new file mode 100644
index 00000000..c5db5693
--- /dev/null
+++ b/S2OJ/1788/data/road6.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30785815905574fd36aa95b44f8562fd16a9a9d5ac3cfdd38e4134a1b52f0245
+size 5
diff --git a/S2OJ/1788/data/road7.in b/S2OJ/1788/data/road7.in
new file mode 100644
index 00000000..d476028f
--- /dev/null
+++ b/S2OJ/1788/data/road7.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69344df0a57c2e5ec2c942ced2cc728284a83f2b60d08ab994df0f20dbc81820
+size 11702
diff --git a/S2OJ/1788/data/road7.out b/S2OJ/1788/data/road7.out
new file mode 100644
index 00000000..311c4506
--- /dev/null
+++ b/S2OJ/1788/data/road7.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee3aa64bb94a50845d5024cd4bd20202a4567aed5cd5328c0d97e9920775fc28
+size 3
diff --git a/S2OJ/1788/data/road8.in b/S2OJ/1788/data/road8.in
new file mode 100644
index 00000000..f78ea403
--- /dev/null
+++ b/S2OJ/1788/data/road8.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d18678123e29a0092e690683bf6d66afd6d2f046c13de80665506c19b7c5c6e3
+size 135486
diff --git a/S2OJ/1788/data/road8.out b/S2OJ/1788/data/road8.out
new file mode 100644
index 00000000..8443c363
--- /dev/null
+++ b/S2OJ/1788/data/road8.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c98875846286b5e3a32baffd64764791bbd5ea289506418bf3b2e00012a7aa62
+size 6
diff --git a/S2OJ/1788/data/road9.in b/S2OJ/1788/data/road9.in
new file mode 100644
index 00000000..e234d306
--- /dev/null
+++ b/S2OJ/1788/data/road9.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2427886bbefecaf9b0d5f52ee7732325033d26a0f0842e12ef27a1674d02b09f
+size 135559
diff --git a/S2OJ/1788/data/road9.out b/S2OJ/1788/data/road9.out
new file mode 100644
index 00000000..da858e35
--- /dev/null
+++ b/S2OJ/1788/data/road9.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e88aa5626e8caccdf9062bdafac7070f4f3b064dfc6272aa61144fadc0669289
+size 6