From e88ec279a0b44c1a77c4b5e0d9665f1189491f3c Mon Sep 17 00:00:00 2001
From: Segcolt <9hmbzr275@mozmail.com>
Date: Wed, 25 Sep 2024 17:52:28 -0300
Subject: [PATCH] Finally finish the problem

This was tough... Hopefully it mean I got better too.
---
 2015/phase2/fila.cpp | 127 ++++++++++++++++++++++---------------------
 1 file changed, 66 insertions(+), 61 deletions(-)

diff --git a/2015/phase2/fila.cpp b/2015/phase2/fila.cpp
index 7e0332f..c7a0adb 100644
--- a/2015/phase2/fila.cpp
+++ b/2015/phase2/fila.cpp
@@ -69,19 +69,14 @@ auto operator>>(istream  &is, vector<vector<v>> &vec)->istream& {
     return is;
 }
 
+#define int ll
+
 struct insertion {
     int pos;
     int val;
 
     insertion(int pos, int val): pos(pos),
                                  val(val) {}
-
-    // bool operator<(insertion &i) {
-    //     if (pos == i.pos) {
-    //         return pos == 0 ? ind < i.pos : pos > i.pos;
-    //     }
-    //     return ind < i.ind;
-    // }
 };
 
 struct query {
@@ -113,23 +108,41 @@ ll search(int n, int l, int r, int lim, int v)
     return ans ?: search(n * 2, l, mid, lim, v);
 }
 
-void add(int i)
+void add(int i, int v = 1)
 {
     for (; i < bit.size(); i += (i & -i)) {
-        bit[i]++;
+        bit[i] += v;
     }
 }
 
-ll get(int i)
+ll get(int v)
 {
     ll ans = 0;
-    for (; i >= 1; i -= (i & -i)) {
+    for (int i = 31; i >= 0; i--) {
+        ll tmp = (1 << i) + ans;
+        if (tmp >= bit.size()) {
+            continue;
+        }
+
+        if (bit[tmp] <= v) {
+            v -= bit[tmp];
+            ans = tmp;
+        }
+    }
+    if (v == 0) return ans;
+    return -1;
+}
+
+ll sum(int i)
+{
+    ll ans = 0;
+    for (; i > 0; i -= i & -i) {
         ans += bit[i];
     }
     return ans;
 }
 
-int main()
+signed main()
 {
     ios::sync_with_stdio(false);
     cin.tie(nullptr);
@@ -137,80 +150,72 @@ int main()
     int n;
     cin >> n;
     vl queue(n);
-    cin >> queue;
+    V<insertion> inserts;
+    // cin >> queue;
+    rep(i, n) {
+        int val;
+        cin >> val;
+        inserts.emplace_back(i, val);
+    }
 
     int q;
     cin >> q;
+    V<query> queries(q + n);
+    for (size_t i = 0; i < inserts.size(); i++) {
+        queries[i] = query(0, inserts[i].pos, inserts[i].val);
+    }
 
-    V<query> queries(q);
-    V<insertion> inserts;
+    size_t num = inserts.size();
 
-    rep(i, q) {
+    nrep(i, n, n + q) {
         int type, pos;
         ll value;
         cin >> type >> pos >> value;
         queries[i] = query(type, pos, value);
         if (type == 0) {
-            inserts.emplace_back(pos, value);
+            num++;
         }
     }
 
-    reverse(queries.begin(), queries.end());
-    reverse(inserts.begin(), inserts.end());
-
-    vl act(n + inserts.size(), -1);
-    bit.assign(n + inserts.size() + 1, 0);
-    for (auto [p, v] : inserts) {
-
+    vl act(num, -1);
+    bit.assign(queries.size() + 1, 0);
+    for (size_t i = 1; i <= queries.size(); i++) {
+        add(i);
     }
-    // size_t now = 0;
-    // for (size_t i = 0; i < act.size(); i++) {
-    //     if (act[i] == -1) {
-    //         act[i] = queue[now];
-    //         now++;
-    //     }
-    // }
 
-    size_t bef = act.size();
-    while (__builtin_popcount(act.size()) != 1) {
+    for (auto itr = queries.rbegin(); itr != queries.rend(); itr++) {
+        auto &[t, p, v] = *itr;
+
+        if (t == 0) {
+            p = get(p) + 1;
+
+            add(p, -1);
+            continue;
+        }
+        p = get(p - 1) + 1;
+    }
+
+    while (act.size() != 0 && __builtin_popcount(act.size()) != 1) {
         act.push_back(-1);
     }
-    size_t actn = act.size();
-    cout << act;
 
-    segtree.resize(act.size() * 2);
-    bit.resize(act.size() + 1);
+    segtree.assign(act.size() * 2, -1);
+    bit.assign(act.size() + 1, 0);
 
-    for (size_t i = actn; i < actn * 2; i++) {
-        segtree[i] = act[i - actn];
-    }
-    for (size_t i = actn - 1; i > 0; i--) {
-        segtree[i] = max(segtree[i * 2], segtree[i * 2 + 1]);
-    }
-
-    vl ans(queries.size() - inserts.size());
-    auto itr = ans.rbegin();
     for (auto [type, pos, value] : queries) {
+        // cerr << bit;
         if (type == 0) {
-            int fix = get(pos + 1);
-            // cout << "Remove fix: " << fix << '\n';
-            segtree[pos + actn + fix] = -1;
-            add(pos + fix + 1);
-            for (size_t i = (pos + actn + fix) / 2; i >= 1; i /= 2) {
+            add(pos);
+
+            act[pos - 1] = value;
+            segtree[act.size() + pos - 1] = value;
+            for (size_t i = (act.size() + pos - 1) / 2; i > 0; i /= 2) {
                 segtree[i] = max(segtree[i * 2], segtree[i * 2 + 1]);
             }
             continue;
         }
 
-        int fix = get(pos);
-        // cout << "Query fix: " << fix << '\n';
-        int ans = search(1, 1, bef, pos + fix, act[pos + fix - 1] + value);
-        // cout << "Found: " << ans << " with: " << act[pos + fix - 1] << '\n';
-        *itr = ans ? ans - get(ans) : 0;
-        itr++;
-    }
-
-    for (auto i : ans) {
-        cout << i << '\n';
+        int ans = search(1, 1, act.size(), pos, act[pos - 1] + value);
+        cout << sum(ans) << '\n';
     }
 }