oj.uz

Submission #829143

# Submission time Handle Problem Language Result Execution time Memory
829143 2023-08-18T05:25:44 Z roseanne_pcy Koala Game (APIO17_koala) C++14
47 / 100
 55 ms 444 KB 
#include "koala.h"
 
#include <bits/stdc++.h>
 
using namespace std;
 
typedef pair<int, int> ii;
typedef vector<int> vi;
typedef long long ll;
 
#define f first
#define s second
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
 
const int MAXN = 105;
 
int play[MAXN];
int res[MAXN];
int tmp[MAXN];

int calls = 0;
 
void reset(int n) {
    for (int i = 0; i< n; i++) {
        play[i] = res[i] = 0;
    }
}

void knapsack(int *B, int *R) {
    int N = 100;
    int W = 100;
    int P[105];
    for(int i = 0; i< N; i++) P[i] = i+1;
    int cache[2][205];
    int num[2][205];
    char taken[105][205];

    for (int i=0;i<205;++i) {
        cache[1][i] = 0;
        num[1][i] = 0;
    }

    for (int i=0;i<N;++i) {
        int v = B[i]+1;
        int ii = i&1;
        int o = ii^1;
        for (int j=0;j<=W;++j) {
            cache[ii][j] = cache[o][j];
            num[ii][j] = num[o][j];
            taken[i][j] = 0;
        }
        for (int j=W;j>=v;--j) {
            int h = cache[o][j-v] + P[i];
            int hn = num[o][j-v] + 1;
            if (h > cache[ii][j] || (h == cache[ii][j] && hn > num[ii][j])) {
                cache[ii][j] = h;
                num[ii][j] = hn;
                taken[i][j] = 1;
            } else {
                taken[i][j] = 0;
            }
        }
    }

    int cur = W;
    for (int i=N-1;i>=0;--i) {
        R[i] = taken[i][cur] ? (B[i] + 1) : 0;
        cur -= R[i];
    }
}

int retMin[105][105];
int retMax[105][105];
int ret[105];

void precompute_all() {
    int n = 100;
    for (int i = 0; i < n; i++) { 
        for (int j = i+1; j< n; j++) {   
            for (int k = 1; k<= 9; k++) {
                reset(n);
                play[i] = play[j] = k;
                knapsack(play, res);
                if (res[j] > k && res[i] <= k) {
                    retMin[i][j] = k;
                    break;
                }
            }
            for (int k = 9; k >= 1; k--) {
                reset(n);
                play[i] = play[j] = k;
                knapsack(play, res);
                if (res[j] > k && res[i] <= k) {
                    retMax[i][j] = k;
                    break;
                }
            }
        }
        for (int j = i+2; j< n; j++) {
            assert(retMin[i][i+1] == retMin[i][j]);
            assert(retMax[i][i+1] <= retMax[i][j]);
        }
    }

    for (int i = 0; i < n; i++) {
        for (int j = i+1; j< n; j++) {
            assert(retMin[i][i+1] <= retMin[i][j] && retMin[i][j] <= retMin[j-1][j]);
        }
    }

    // for (int j = 1; j< n; j++) {
    //     for(int i = 0; i < j-1; i++) {
    //         assert(retMax[j-1][j] == retMax[i][j]);
    //     }
    // }
}

void precompute() {
    int n = 100;
    for (int i = 0; i+1 < n; i++) { 
        int j = i+1;  
        ret[i] = -1;
        for (int k = 1; k<= 9; k++) {
            reset(n);
            play[i] = play[j] = k;
            knapsack(play, res);
            if (res[j] > k && res[i] <= k) {
                ret[i] = k;
                break;
            }
        }
        assert(ret[i] >= 1);
    }
}
 
int minValue(int N, int W) {
    int n = N;
    play[0] = 1;
    playRound(play, res);
    for (int i = 0; i < n; i++) {
        if (res[i] == 0) {
            return i;
        }
    }
    reset(N);
    play[1] = 1;
    playRound(play, res);
    for (int i = 0; i < n; i++) {
        if (res[i] == 0) {
            return i;
        }
    }
    return -1;
}
 
int maxValue(int N, int W) {
    int n = N;
    for (int i = 0; i < n; i++) {
        play[i] = 1;
    }
    playRound(play, res);
    set <int> pots;
    for (int i = 0; i< n; i++) {
        if (res[i] > 0) {
            pots.insert(i);
        }
    }
 
    int times = 3;
    while(times--) {  
        reset(N);
        for (int x : pots) {
            play[x] = W/(pots.size());
        }
 
        playRound(play, res);
 
        set <int> newpots;
        for (int i = 0; i< n; i++) {
            if (res[i] > 0 && (pots.find(i) != pots.end())) {
                newpots.insert(i);
            }
        }
        pots = newpots;
    }
    return *(pots.begin());
}
 
int greaterValue(int N, int W) {
    int n = N;
    int lo = 1, hi = 9;
    while (lo < hi) {
        int mid = (lo+hi)/2;
        reset(n);
        play[0] = play[1] = mid;
        for (int i = 2; i< n; i++) {
            play[i] = 0;
        }
        playRound(play, res);
        if (res[0] != res[1]) {
            if (res[0] > res[1]) {
                return 0;
            } else {
                return 1;
            }
        } else {
            if (res[0] == 0) {
                hi = mid-1;
            } else {
                lo = mid+1;
            }
        }
    }
}
 
bool isLessThan(int x, int y, int N, int ori_lo, int ori_hi) {
    int n = N;
    int lo = ori_lo, hi = ori_hi;
    while (lo <= hi) {
        int mid = (lo+hi)/2;
        reset(n);
        play[x] = play[y] = mid;
        playRound(play, res);
        calls++;
        if (res[x] != res[y]) {
            if (res[x] > res[y]) {
                return false;
            } else {
                return true;
            }
        } else {
            if (res[x] == 0) {
                hi = mid-1;
            } else {
                lo = mid+1;
            }
        }
    }
    assert(false);
}
 
void solveClassic(int *P, int L, int R, int N) {
    if (L == R) {
        return;
    }
    // printf("called %d %d\n", L, R);
    int mid = (L+R)/2;
    solveClassic(P, L, mid, N);
    solveClassic(P, mid+1, R, N);
 
    int i = L, j = mid+1;
    int cur = L;
    while(i <= mid && j <= R) {
        int lo = ret[L]-1;
        int hi = ret[R-1];
        // int lo = 1;
        // int hi = 9;
        // printf("%d %d\n", L, R);
        if(isLessThan(P[i], P[j], N, lo, hi)) {
            tmp[cur++] = P[i++];
        } else {
            tmp[cur++] = P[j++];
        }
    }
    while(i <= mid) {
        tmp[cur++] = P[i++];
    }
    while(j <= R) {
        tmp[cur++] = P[j++];
    }
 
    for (int i = L; i<= R; i++) {
        P[i] = tmp[i];
    }
 
    return;
}

void solve(int *P, int L, int R, int N, int W) {
    if (L == R) {
        return;
    }
    reset(N);
    for (int i = L; i <= R; i++) {
        play[P[i]] = W/(R-L+1);
    }
    playRound(play, res);
    calls++;
    vector<int> good, bad;
    for (int i = L; i <= R; i++) {
        if (res[P[i]] > 0) {
            good.push_back(P[i]);
        } else {
            bad.push_back(P[i]);
        }
    }
    if ((int) good.size() == 0 || (int) bad.size() == 0) {
        // printf("%d %d can't go\n", L, R);
        solveClassic(P, L, R, N);
        return;
    }


    int cur = L;
    for (int i = 0; i< (int) bad.size(); i++) {
        P[cur++] = bad[i];
    }
    for (int i = 0; i< (int) good.size(); i++) {
        P[cur++] = good[i];
    }
    solve(P, L, L+bad.size()-1, N, W);
    // printf("solved %d %d: %d\n", L, L+bad.size()-1, calls);
    solve(P, L+bad.size(), R, N, W);
    // printf("solved %d %d: %d\n", L+bad.size(), R, calls);
}

void solve_subtask4(int N, int W, int *P) {
    for (int i = 0; i < N; i++) {
        P[i] = -1;
    }
    for (int i = 0; i < N; i++) {
        set<int> pots;
        for (int j = 0; j < N; j++) {
            pots.insert(j);
        }

        while(true) {
            int remcnt = 0;
            for (int x : pots) {
                if (P[x] == -1) {
                    remcnt++;
                }
            }
            if (remcnt == 1) {
                break;
            }
            reset(N);
            for (int x : pots) {
                if (P[x] == -1) {
                    play[x] = W/remcnt;
                }
            }
            playRound(play, res);
            set<int> newpots;
            for (int j = 0; j< N; j++) {
                if (res[j] > 0 && pots.find(j) != pots.end()) {
                    newpots.insert(j);
                }
            }
            pots = newpots;
        }
        set<int> newpots;
        for (int j: pots) {
            if (P[j] == -1) {
                newpots.insert(j);
            }
        }
        pots = newpots;
        P[*(pots.begin())] = N-i;
        // printf("%d: %d\n", *pots.begin(), N-i);
    }
}

void allValues(int N, int W, int *P) {
    precompute();
    for (int i = 0; i < N; i++) {
        P[i] = i;
    }
    if (W == 2*N) {
        solve_subtask4(N, W, P);
    } else {
        solve(P, 0, N-1, N, W);
        for (int i = 0; i < N; i++) {
            tmp[P[i]] = i;
        }
        for (int i = 0; i < N; i++) {
            P[i] = tmp[i] + 1;
        }
    }
}

Compilation message

koala.cpp: In function 'int greaterValue(int, int)':
koala.cpp:218:1: warning: control reaches end of non-void function [-Wreturn-type]
  218 | }
      | ^

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 208 KB Output is correct
2 Correct 3 ms 336 KB Output is correct
3 Correct 3 ms 320 KB Output is correct
4 Correct 3 ms 208 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 208 KB Output is correct
2 Correct 11 ms 224 KB Output is correct
3 Correct 11 ms 208 KB Output is correct
4 Correct 10 ms 208 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 336 KB Output is correct
2 Correct 55 ms 324 KB Output is correct
3 Correct 41 ms 348 KB Output is correct
4 Correct 39 ms 344 KB Output is correct
5 Correct 40 ms 336 KB Output is correct
6 Correct 40 ms 336 KB Output is correct
7 Correct 45 ms 328 KB Output is correct
8 Correct 41 ms 336 KB Output is correct
9 Correct 40 ms 344 KB Output is correct
10 Correct 39 ms 328 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 300 KB Output is correct
2 Correct 47 ms 208 KB Output is correct
3 Correct 44 ms 208 KB Output is correct
4 Correct 45 ms 308 KB Output is correct
5 Correct 46 ms 320 KB Output is correct
6 Correct 44 ms 320 KB Output is correct
7 Correct 44 ms 312 KB Output is correct
8 Correct 44 ms 304 KB Output is correct
9 Correct 48 ms 320 KB Output is correct
10 Correct 44 ms 208 KB Output is correct
11 Correct 44 ms 324 KB Output is correct
12 Correct 44 ms 208 KB Output is correct
13 Correct 45 ms 316 KB Output is correct
14 Correct 44 ms 320 KB Output is correct
15 Correct 43 ms 208 KB Output is correct
16 Correct 43 ms 300 KB Output is correct
17 Correct 43 ms 312 KB Output is correct
18 Correct 46 ms 336 KB Output is correct
19 Correct 43 ms 312 KB Output is correct
20 Correct 44 ms 320 KB Output is correct

Subtask #5
0 / 53.0

# Verdict Execution time Memory Grader output
1 Partially correct 19 ms 312 KB Output is partially correct
2 Runtime error 14 ms 444 KB Execution killed with signal 6
3 Halted 0 ms 0 KB -