尝试在if函数JAVA中获得相同值的2d数组

嗨，我的任务快要结束了，但是我似乎无法获得我的输出值来输出每个省的加拿大大城市，这也是该省的省会城市。下面是我的代码，在单独的框中是我的方法代码。提前致谢。

public class Canada
{
    public static final int BC = 0;
    public static final int AB = 1;
    public static final int ON = 2;
    public static final int QC = 3;
    public static final int NL = 4;
    public static final int PE = 5;
    public static final int NS = 6;
    public static final int NB = 7;
    public static final int MB = 8;
    public static final int SK = 9;
    public static final int NU = 10;
    public static final int YT = 11;
    public static final int NT = 12;

    public static final int NAME_OF_PROVINCE = 0;
    public static final int NAME_OF_CAPITAL_CITY = 1;
    public static final int NAME_OF_BIGGEST_CITY = 2;

    public String[][] provinces;
    public Canada()
    {
        provinces = new String[13][3];

        provinces[BC][NAME_OF_PROVINCE] = "british columbia";
        provinces[BC][NAME_OF_CAPITAL_CITY] ="victoria";
        provinces[BC][NAME_OF_BIGGEST_CITY] ="vancouver";

        provinces[AB][NAME_OF_PROVINCE] = "alberta";
        provinces[AB][NAME_OF_CAPITAL_CITY] ="edmonton";
        provinces[AB][NAME_OF_BIGGEST_CITY] ="calgary";

        provinces[ON][NAME_OF_PROVINCE] = "ontario";
        provinces[ON][NAME_OF_CAPITAL_CITY] ="toronto";
        provinces[ON][NAME_OF_BIGGEST_CITY] ="toronto";

        provinces[QC][NAME_OF_PROVINCE] = "quebec";
        provinces[QC][NAME_OF_CAPITAL_CITY] ="quebec city";
        provinces[QC][NAME_OF_BIGGEST_CITY] ="montreal";

        provinces[NL][NAME_OF_PROVINCE] = "newfoundland";
        provinces[NL][NAME_OF_CAPITAL_CITY] ="st johns";
        provinces[NL][NAME_OF_BIGGEST_CITY] ="st johns";

        provinces[PE][NAME_OF_PROVINCE] = "prince edward island";
        provinces[PE][NAME_OF_CAPITAL_CITY] ="charlottetown";
        provinces[PE][NAME_OF_BIGGEST_CITY] ="charlottetown";

        provinces[NS][NAME_OF_PROVINCE] = "nova scotia";
        provinces[NS][NAME_OF_CAPITAL_CITY] ="halifax";
        provinces[NS][NAME_OF_BIGGEST_CITY] ="halifax";

        provinces[NB][NAME_OF_PROVINCE] = "new brunswick";
        provinces[NB][NAME_OF_CAPITAL_CITY] ="fredericton";
        provinces[NB][NAME_OF_BIGGEST_CITY] ="saint john";

        provinces[MB][NAME_OF_PROVINCE] = "manitoba";
        provinces[MB][NAME_OF_CAPITAL_CITY] ="winnipeg";
        provinces[MB][NAME_OF_BIGGEST_CITY] ="winnipeg";

        provinces[SK][NAME_OF_PROVINCE] = "saskatchewan";
        provinces[SK][NAME_OF_CAPITAL_CITY] ="regina";
        provinces[SK][NAME_OF_BIGGEST_CITY] ="saskatoon";

        provinces[NU][NAME_OF_PROVINCE] = "nunavut";
        provinces[NU][NAME_OF_CAPITAL_CITY] ="iqaluit";
        provinces[NU][NAME_OF_BIGGEST_CITY] ="iqaluit";

        provinces[YT][NAME_OF_PROVINCE] = "yukon";
        provinces[YT][NAME_OF_CAPITAL_CITY] ="whitehorse";
        provinces[YT][NAME_OF_BIGGEST_CITY] ="whitehorse";

        provinces[NT][NAME_OF_PROVINCE] = "northwest territories";
        provinces[NT][NAME_OF_CAPITAL_CITY] ="yellowknife";
        provinces[NT][NAME_OF_BIGGEST_CITY] ="yellowknife";
    }
}

下面是我尝试在省份中与省会城市中的大城市进行输出的方法代码。像多伦多一样，是安大略省的省会城市，也是安大略省最大的城市。温哥华是不列颠哥伦比亚省最大的城市，但不是首府城市。我尝试了各种各样的组合，这些组合要么总是不输出计算结果，要么只输出我键入的城市。

ps我知道2D数组代码很糟糕，但这是老师设置此问题的初始版本的方式。

public String getProvinceWhoseCapitalsIs(String city) // return
{
    String sameCity = "not computing";
    for(int i = 0;i<provinces.length;i++)
    {
        if(city == null || city.isEmpty())
        {
            throw new IllegalArgumentException("Please enter correct province name");
        }
        if(city == provinces[i][1] && city == provinces[i][2])
        {
            city = provinces[i][1];

        }
        break;
    }
    return city;
}

对方法进行了一些编辑，现在它只返回我输入的内容...

问题来源：Stack Overflow