Submission #789632

#	Time	Username	Problem	Language	Result	Execution time	Memory
789632		someone	Two Dishes (JOI19_dishes)	C++14	0 / 100	506 ms	104316 KiB

dishes

#include <bits/stdc++.h>
#define int long long
using namespace std;

struct Point {
    int x, y, val;
};

const int M = 1 << 20, N = 2 * M, T = 12, INF = 1e18 + 42;

int maxi[N], tag[N];

void applyOp(int i, int add) {
    tag[i] += add;
    maxi[i] += add;
}

void propage(int i) {
    applyOp(i*2, tag[i]);
    applyOp(i*2+1, tag[i]);
    tag[i] = 0;
}

int update(int i, int deb, int fin, int l, int r, int add) {
    if(r <= deb || fin <= l)
        return -2*INF;
    if(l <= deb && fin <= r) {
        applyOp(i, add);
        return maxi[i];
    }
    propage(i);
    int mid = ((deb + fin) >> 1),
        ans = max(update(i*2, deb, mid, l, r, add),
                  update(i*2+1, mid, fin, l, r, add));
    maxi[i] = max(maxi[i*2], maxi[i*2+1]);
    return ans;
}

vector<int> lig[M];
vector<Point> point;
int score = 0, ans = 0, sz[2], value[N], a[2][M], t[2][M], pt[2][M], pos[2][M], dp[T][T];

void solve() {
    score = ans = 0;
    point.clear();
    for(int i = 0; i < M; i++)
        lig[i].clear();

    for(int i = 0; i < N; i++)
        tag[i] = 0, maxi[i] = -INF, value[i] = -INF;
    update(1, 0, M, sz[0], sz[0]+1, INF);
    for(int i = 0; i < 2; i++)
        for(int j = 1; j <= sz[i]; j++)
            a[i][j] += a[i][j-1];
    a[0][sz[0]+1] = a[1][sz[1]+1] = INF;
/*
    for(int i = 0; i <= sz[0]; i++)
        for(int j = 0; j <= sz[1]; j++)
            dp[i][j] = -INF;
    dp[0][0] = 0;
    for(int i = 0; i <= sz[0]; i++)
        for(int j = 0; j <= sz[1]; j++) {
            if(a[0][i+1] + a[1][j] <= t[0][i+1]) {
                dp[i+1][j] = max(dp[i+1][j], dp[i][j] + pt[0][i+1]);
            } else {
                dp[i+1][j] = max(dp[i+1][j], dp[i][j]);
            }
            if(a[0][i] + a[1][j+1] <= t[1][j+1]) {
                dp[i][j+1] = max(dp[i][j+1], dp[i][j] + pt[1][j+1]);
            } else {
                dp[i][j+1] = max(dp[i][j+1], dp[i][j]);
            }
        }*/

    for(int i = 0; i < 2; i++)
        for(int j = 1; j <= sz[i]; j++)
            pos[i][j] = (int)(upper_bound(a[1-i], a[1-i] + sz[1-i] + 1, t[i][j] - a[i][j]) - a[1-i]) - 1;

    for(int j = 0; j <= sz[0]; j++)
        if(pos[0][j] != -1)
            point.push_back({j, pos[0][j], pt[0][j]});
    for(int j = 1; j <= sz[1]; j++) {
        if(pos[1][j] != -1) {
            score += pt[1][j];
            if(pos[1][j] != sz[0])
                point.push_back({pos[1][j]+1, j-1, -pt[1][j]});
        }
    }

    for(int i = 0; i < (int)point.size(); i++)
        lig[point[i].x].push_back(i);
/*
    for(Point p : point)
        cout << p.x << ' ' << p.y << ' ' << p.val << '\n';
    cout << '\n' << '\n';*/
    for(int x = sz[0]; x >= 0; x--) {
        for(int id : lig[x]) {
            Point p = point[id];
            value[id] = update(1, 0, M, p.y, sz[0]+1, 0);
            if(p.x == 0 && p.y == 0)
                ans = value[id];
        }
        for(int id : lig[x]) {
            Point p = point[id];
            int pre = update(1, 0, M, p.y, p.y+1, 0);
            update(1, 0, M, p.y, p.y+1, value[id] - pre);
        }
        for(int id : lig[x]) {
            Point p = point[id];
            update(1, 0, M, 0, p.y+1, p.val);
        }/*
        for(int i = 0; i <= sz[0]; i++)
            cout << update(1, 0, M, i, i+1, 0) << ' ';
        cout << '\n' << '\n';*/
    }/*
    cout << '\n';
    cout << ans << ' ' << score << '\n';*/
    cout << ans + score << '\n';
/*
    if(dp[sz[0]][sz[1]] != ans + score) {
        cout << "Differ\n";
        cout << dp[sz[0]][sz[1]] << ' ' << ans + score << '\n';
        cout << sz[0] << ' ' << sz[1] << '\n';
        for(int i = 0; i < 2; i++)
            for(int j = 1; j <= sz[i]; j++)
                cout << a[i][j] << ' ' << t[i][j] << ' ' << pt[i][j] << '\n';
    }*/
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);

    cin >> sz[0] >> sz[1];
    for(int i = 0; i < 2; i++)
        for(int j = 1; j <= sz[i]; j++)
            cin >> a[i][j] >> t[i][j] >> pt[i][j];
    solve();
/*
    for(int x = 0; x < 1000; x++) {
        srand(time(0) + x);
        sz[0] = sz[1] = 10;
        for(int i = 0; i < 2; i++)
            for(int j = 1; j <= sz[i]; j++) {
                a[i][j] = (rand() % 10) + 1;
                t[i][j] = (rand() % 100) + 1;
                pt[i][j] = (rand() % 20) - 10;
            }
        solve();
    }*/
}

• Subtask 1: 0 / 5
• Subtask 2: 0 / 3
• Subtask 3: 0 / 7
• Subtask 4: 0 / 39
• Subtask 5: 0 / 11
• Subtask 6: 0 / 9
• Subtask 7: 0 / 17
• Subtask 8: 0 / 9