new file: P11232.cpp

2026-08-25 18:53:09 +08:00
parent 2efad7c60d
commit e021305f13
1 changed files with 110 additions and 0 deletions
@@ -0,0 +1,110 @@
+#include <bits/stdc++.h>
+using namespace std;
+typedef long long ll;
+struct node
+{
+    ll d, v, a;
+    int l, r;  // 超速时对应的测速仪区间下标
+    bool over; // 是否超速
+} car[100005];
+
+bool cmp(const node &x, const node &y)
+{
+    return x.r < y.r;
+}
+ll p[100005];
+int main()
+{
+    int T;
+    scanf("%d", &T);
+    while (T--)
+    {
+        int n, m;
+        ll L, V;
+        scanf("%d%d%lld%lld", &n, &m, &L, &V);
+        for (int i = 1; i <= n; ++i)
+        {
+            scanf("%lld%lld%lld", &car[i].d, &car[i].v, &car[i].a);
+            car[i].over = false;
+        }
+        for (int i = 1; i <= m; ++i)
+            scanf("%lld", &p[i]);
+        sort(p + 1, p + m + 1);
+        int ans = 0;
+        for (int i = 1; i <= n; ++i)
+        {
+            ll d = car[i].d, v0 = car[i].v, a = car[i].a;
+            if (a == 0)
+            {
+                if (v0 > V)
+                {
+                    int idx = lower_bound(p + 1, p + m + 1, d) - p;
+                    if (idx <= m)
+                    {
+                        car[i].over = true;
+                        car[i].l = idx;
+                        car[i].r = m;
+                    }
+                }
+            }
+            else if (a > 0)
+            {
+                int idx;
+                if (v0 > V)
+                {
+                    idx = lower_bound(p + 1, p + m + 1, d) - p;
+                }
+                else
+                {
+                    ll x = d + (V * V - v0 * v0) / (2 * a) + 1;
+                    idx = lower_bound(p + 1, p + m + 1, x) - p;
+                }
+                if (idx <= m)
+                {
+                    car[i].over = true;
+                    car[i].l = idx;
+                    car[i].r = m;
+                }
+            }
+            else
+            { // a < 0
+                if (v0 > V)
+                {
+                    int L = lower_bound(p + 1, p + m + 1, d) - p;
+                    ll num = v0 * v0 - V * V;
+                    ll den = -2 * a;
+                    ll fn = d + (num + den - 1) / den;
+                    int R = lower_bound(p + 1, p + m + 1, fn) - p - 1;
+                    if (L <= m && L <= R)
+                    {
+                        car[i].over = true;
+                        car[i].l = L;
+                        car[i].r = R;
+                    }
+                }
+            }
+            if (car[i].over)
+                ans++;
+        }
+        vector<node> over;
+        for (int i = 1; i <= n; ++i)
+        {
+            if (car[i].over)
+                over.push_back(car[i]);
+        }
+        sort(over.begin(), over.end(), cmp);
+        int choose = 0;
+        int last = -1;
+        for (auto &now : over)
+        {
+            if (now.l > last)
+            {
+                last = now.r;
+                choose++;
+            }
+        }
+
+        printf("%d %d\n", ans, m - choose);
+    }
+    return 0;
+}