POJ #1042 Gone Fishing - WA by a DP solution. TODO

I used DP instead of Greedy. But got WA on PoJ, though it passed all web-searched cases. Maybe I have to use Greedy.

BTW: a careless modification introduced an error, and it took me 1+ hours to debug. DETAILS

Sth. about this DP solution: dp[iLake][nCurrTotalTime + currentLakeTime] = dp[iLake - 1][nCurrTotalTime] + getFish(iLake, nCurrTotalTime, currentLakeTime);

Anyway, this is the first 2D DP problem I worked out :)

#include <stdio.h>
#include <stdlib.h>
#include <memory.h>
#include <vector>
using namespace std;

#define Max(a, b) (a) > (b) ? (a) : (b)
#define MAX_LAKE 25
#define MAX_TIME (16*12)

//    We are at lake i now, with total time of tTtlLake spent on previous lakes, 
//    and we'd like to spend myt time on lake i -> how many fishes we can get from lake i?
int getFish(int i, int tTtlLake, int myt, int *accti, int *fi, int *di)
{
    if (myt == 0) return 0;

    //    If any left, get fishes by time myt
    int ret = 0, left = fi[i];;
    while (left > 0 && myt > 0)
    {
        ret += left;
        left -= di[i];
        myt--;
    }
    return ret;
}

void backtrack(int path[MAX_LAKE + 1][MAX_TIME], int si, int sk, int n, int h)
{
    bool bHasSolution = false;
    int opath[MAX_LAKE + 1] = { 0 };
    int actTtl = 0;
    while (si > 0 && path[si][sk] != -1)
    {
        opath[si] = path[si][sk];
        actTtl += opath[si];
        sk -= path[si][sk];
        si--;
        bHasSolution = true;
    }
    //    Actual results less than h?
    if (actTtl < h)
    {
        bool allAfterZero = true;
        for (int i = 2; i <= n; i++)
        {
            if (opath[i] != 0)
            {
                allAfterZero = false;
            }
        }
        if (allAfterZero)
        {
            opath[1] += h - actTtl;
        }
    }
    if (!bHasSolution)
    {
        opath[1] = h;
    }
    for (int i = 1; i <= n; i++)
    {
        printf("%d", opath[i] * 5);
        if (i < n) printf(", ");
    }
    printf("\n");
}

void calc(int n, int h, int *fi, int *di, int *ti, int *accti)
{
    //    Reset
    int   dp[MAX_LAKE + 1][MAX_TIME];
    int path[MAX_LAKE + 1][MAX_TIME];
    memset(  dp, 0, sizeof(int) * MAX_TIME * (MAX_LAKE + 1));
    memset(path, -1, sizeof(int)* MAX_TIME * (MAX_LAKE + 1));

    //    dp[currentLakeIndex, currentTtlTimeOnLake]    = currTtlFishCnt. Note: no time on the way included
    //    dp[i + 1, tTtl + t] = dp[i, tTtl]  + f(fi(i + 1), t)

    int maxFish = 0, maxI, maxT;
    for (int i = 1; i <= n; i++)
    {
        // time on the way so far        
        int tWay = accti[i-1];

        for (int t = h; t >=0; t--)    // descending is necessary: it required more miniutes to spend as earlier as possible
        {
            if (i == 1 && t > 0) continue;
            
            int leftTime = h - t - tWay;
            leftTime = leftTime < 0 ? 0 : leftTime;

            for (int k = 0; k <= leftTime; k++) // k is how much time left in total
            {
                int newV = dp[i - 1][t] + getFish(i, t, k, ti, fi, di);
                if (newV > dp[i][t + k])
                {
                    dp[i][t + k] = newV;                    
                    path[i][t + k] = k;
                    //printf("-putting %d to [%d][%d]\n", k, i, t + k);

                    if (newV > maxFish)
                    {
                        maxFish = newV;
                        maxI = i; maxT = t + k;
                    }                    
                }
            }
        }
    }

    backtrack(path, maxI, maxT, n, h);
     printf("Number of fish expected: %d\n\n", maxFish);
}

int main()
{
    int n, h;    
    while (scanf("%d", &n), (n != 0))
    {    
        scanf("%d", &h);

        // all in 5min-interval 
        h *= 12;

        int fi[MAX_LAKE + 1] = { 0 };    //    initial fish cnt
        int di[MAX_LAKE + 1] = { 0 };    //    decrease rate
        int ti[MAX_LAKE]     = { 0 };    //    travel time
        int accti[MAX_LAKE] = { 0 };    //    travel time

        //    Get Input            
        for (int i = 1; i <= n; i ++)    scanf("%d", fi + i);
        for (int i = 1; i <= n; i ++)    scanf("%d", di + i);
        for (int i = 1; i <= n - 1; i++)
        {
            scanf("%d", ti + i);
            accti[i] = ti[i] + accti[i - 1];
        }
        
        calc(n, h, fi, di, ti, accti);
    }
    
    return 0;
}