Submission #801070

# Submission time Handle Problem Language Result Execution time Memory
801070 2023-08-02T04:25:29 Z Dawnlight Meteors (POI11_met) C++14
100 / 100
1218 ms 55032 KB
#include <bits/stdc++.h>
#define ll long long
#define SZ(X) (int)(X.size())
#define MAX 300005
#define pii pair <int,ll>
#define ind first
#define val second
#define INF (ll)(1e18)
using namespace std;

struct Query{
    int le, ri, amo;
};

int typeNum, len, queNum;
int arr[MAX];
int ans[MAX];
vector <int> sta[MAX]; // stations of every type
vector <Query> allQ;
vector <pii> allT;
int a, b, c;

vector <pii> loc; // considered locations and dif
vector <pii> tCopy; // copy of type

void solve(int le, int ri, vector <pii> & type){ // type: station types and how much is needed, le and ri of queries
    //cout << le << " " << ri << " " << SZ(type) << "\n";
    loc.clear();
    tCopy.clear();
    if (type.empty()) return;
    for (pii t : type){
        for (int s : sta[t.ind])
            loc.push_back({s, 0});
        tCopy.push_back(t);
    }
    sort(loc.begin(), loc.end());
    if (loc.empty()) return;
    
    int mid = (le+ri)/2;
    for (int i = le; i <= mid; i++){ // set up prefix difference
        Query q = allQ[i];
        int add = q.le, sub = q.ri;
        if (q.le > q.ri) { // ring-shaped array
            loc[0].val += q.amo;
        }
        auto it = lower_bound(loc.begin(), loc.end(), make_pair(add, -INF));
        if (it != loc.end()) it->val += q.amo;
        it = lower_bound(loc.begin(), loc.end(), make_pair(sub+1, -INF));
        if (it != loc.end()) it->val -= q.amo;
    }
    ll sum = 0;
    for (pii l : loc){ // use prefix difference to calculate how much more we need for each type
        sum += l.val;
        auto it = lower_bound(tCopy.begin(), tCopy.end(), make_pair(arr[l.ind], -INF));
        it->val -= sum;
        it->val = max(it->val, 0LL); // sum for individual station won't overflow, but the type might overflow if it has multiple stations
        //cout << sum << " ";
    }
    
    if (le == ri){ // this is the final step
        for (pii t : tCopy){
            if (t.val <= 0) ans[t.ind] = le+1;
        }
        return;
    }
    vector <pii> typeA, typeB;
    for (int i = 0; i < SZ(type); i++){
        if (tCopy[i].val <= 0) typeA.push_back(type[i]);
        else typeB.push_back(tCopy[i]);
    }
    solve(le, mid, typeA);
    solve(mid+1, ri, typeB);
}

signed main() {
    ios::sync_with_stdio(0); cin.tie(0);
    cin >> typeNum >> len;
    for (int i = 1; i <= len; i++) {
        cin >> arr[i];
        sta[arr[i]].push_back(i);
    }
    for (int i = 1; i <= typeNum; i++){
        cin >> a;
        allT.push_back({i, a});
    }
    cin >> queNum;
    for (int i = 0; i < queNum; i++){
        cin >> a >> b >> c;
        allQ.push_back({a, b, c});
    }
    solve(0, queNum-1, allT);
    for (int i = 1; i <= typeNum; i++){
        if (ans[i] == 0) cout << "NIE\n";
        else cout << ans[i] << "\n";
    }
    
    return 0;
}
/*
 10 11
 1 2 3 4 5 6 7 8 9 10 11
 1 2 3 4 5 6 7 8 9 10
 10
 1 3 1
 3 4 1
 7 1 1
 1 5 1
 1 5 1
 6 6 1
 7 7 1
 8 8 1
 9 9 1
 10 10 1
 */
# Verdict Execution time Memory Grader output
1 Correct 5 ms 7380 KB Output is correct
2 Correct 5 ms 7528 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7456 KB Output is correct
2 Correct 5 ms 7436 KB Output is correct
3 Correct 5 ms 7508 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 49 ms 9996 KB Output is correct
2 Correct 166 ms 17064 KB Output is correct
3 Correct 126 ms 10712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 85 ms 10432 KB Output is correct
2 Correct 100 ms 10372 KB Output is correct
3 Correct 151 ms 14284 KB Output is correct
4 Correct 48 ms 11412 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 52 ms 10212 KB Output is correct
2 Correct 75 ms 15272 KB Output is correct
3 Correct 20 ms 8276 KB Output is correct
4 Correct 99 ms 11260 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 77 ms 9900 KB Output is correct
2 Correct 103 ms 10428 KB Output is correct
3 Correct 60 ms 9956 KB Output is correct
4 Correct 111 ms 13000 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1218 ms 44600 KB Output is correct
2 Correct 276 ms 25744 KB Output is correct
3 Correct 92 ms 12792 KB Output is correct
4 Correct 1182 ms 47772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1140 ms 38428 KB Output is correct
2 Correct 245 ms 25456 KB Output is correct
3 Correct 61 ms 13260 KB Output is correct
4 Correct 1096 ms 55032 KB Output is correct